TSTP Solution File: NUM377+1.015 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM377+1.015 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 13:03:59 EDT 2022
% Result : Unsatisfiable 0.22s 0.50s
% Output : Proof 13.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM377+1.015 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri Sep 2 09:59:04 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.22/0.50 % SZS status Unsatisfiable
% 0.22/0.50 % SZS output start Proof
% 0.22/0.50 tff(tptp_fun_Y1_28_type, type, (
% 0.22/0.50 tptp_fun_Y1_28: $i)).
% 0.22/0.50 tff(tptp_fun_X1_29_type, type, (
% 0.22/0.50 tptp_fun_X1_29: $i)).
% 0.22/0.50 tff(sum_type, type, (
% 0.22/0.50 sum: ( $i * $i ) > $i)).
% 0.22/0.50 tff(succ_type, type, (
% 0.22/0.50 succ: $i > $i)).
% 0.22/0.50 tff(tptp_fun_Y0_30_type, type, (
% 0.22/0.50 tptp_fun_Y0_30: $i)).
% 0.22/0.50 tff(pred_type, type, (
% 0.22/0.50 pred: $i > $i)).
% 0.22/0.50 tff(tptp_fun_X0_31_type, type, (
% 0.22/0.50 tptp_fun_X0_31: $i)).
% 0.22/0.50 tff(n15_type, type, (
% 0.22/0.50 n15: $i)).
% 0.22/0.50 tff(n14_type, type, (
% 0.22/0.50 n14: $i)).
% 0.22/0.50 tff(n13_type, type, (
% 0.22/0.50 n13: $i)).
% 0.22/0.50 tff(n12_type, type, (
% 0.22/0.50 n12: $i)).
% 0.22/0.50 tff(n11_type, type, (
% 0.22/0.50 n11: $i)).
% 0.22/0.50 tff(n10_type, type, (
% 0.22/0.50 n10: $i)).
% 0.22/0.50 tff(n9_type, type, (
% 0.22/0.50 n9: $i)).
% 0.22/0.50 tff(n8_type, type, (
% 0.22/0.50 n8: $i)).
% 0.22/0.50 tff(n7_type, type, (
% 0.22/0.50 n7: $i)).
% 0.22/0.50 tff(n6_type, type, (
% 0.22/0.50 n6: $i)).
% 0.22/0.50 tff(n5_type, type, (
% 0.22/0.50 n5: $i)).
% 0.22/0.50 tff(n4_type, type, (
% 0.22/0.50 n4: $i)).
% 0.22/0.50 tff(n3_type, type, (
% 0.22/0.50 n3: $i)).
% 0.22/0.50 tff(n2_type, type, (
% 0.22/0.50 n2: $i)).
% 0.22/0.50 tff(n1_type, type, (
% 0.22/0.50 n1: $i)).
% 0.22/0.50 tff(n0_type, type, (
% 0.22/0.50 n0: $i)).
% 0.22/0.50 tff(tptp_fun_Y2_26_type, type, (
% 0.22/0.50 tptp_fun_Y2_26: $i)).
% 0.22/0.50 tff(tptp_fun_X2_27_type, type, (
% 0.22/0.50 tptp_fun_X2_27: $i)).
% 0.22/0.50 tff(tptp_fun_Y3_24_type, type, (
% 0.22/0.50 tptp_fun_Y3_24: $i)).
% 0.22/0.50 tff(tptp_fun_X3_25_type, type, (
% 0.22/0.50 tptp_fun_X3_25: $i)).
% 0.22/0.50 tff(tptp_fun_Y4_22_type, type, (
% 0.22/0.50 tptp_fun_Y4_22: $i)).
% 0.22/0.50 tff(tptp_fun_X4_23_type, type, (
% 0.22/0.50 tptp_fun_X4_23: $i)).
% 0.22/0.50 tff(tptp_fun_Y5_20_type, type, (
% 0.22/0.50 tptp_fun_Y5_20: $i)).
% 0.22/0.50 tff(tptp_fun_X5_21_type, type, (
% 0.22/0.50 tptp_fun_X5_21: $i)).
% 0.22/0.50 tff(tptp_fun_Y6_18_type, type, (
% 0.22/0.50 tptp_fun_Y6_18: $i)).
% 0.22/0.50 tff(tptp_fun_X6_19_type, type, (
% 0.22/0.50 tptp_fun_X6_19: $i)).
% 0.22/0.50 tff(tptp_fun_Y7_16_type, type, (
% 0.22/0.50 tptp_fun_Y7_16: $i)).
% 0.22/0.50 tff(tptp_fun_X7_17_type, type, (
% 0.22/0.50 tptp_fun_X7_17: $i)).
% 0.22/0.50 tff(tptp_fun_Y8_14_type, type, (
% 0.22/0.50 tptp_fun_Y8_14: $i)).
% 0.22/0.50 tff(tptp_fun_X8_15_type, type, (
% 0.22/0.50 tptp_fun_X8_15: $i)).
% 0.22/0.50 tff(tptp_fun_Y9_12_type, type, (
% 0.22/0.50 tptp_fun_Y9_12: $i)).
% 0.22/0.50 tff(tptp_fun_X9_13_type, type, (
% 0.22/0.50 tptp_fun_X9_13: $i)).
% 0.22/0.50 tff(tptp_fun_Y10_10_type, type, (
% 0.22/0.50 tptp_fun_Y10_10: $i)).
% 0.22/0.50 tff(tptp_fun_X10_11_type, type, (
% 0.22/0.50 tptp_fun_X10_11: $i)).
% 0.22/0.50 tff(tptp_fun_Y11_8_type, type, (
% 0.22/0.50 tptp_fun_Y11_8: $i)).
% 0.22/0.50 tff(tptp_fun_X11_9_type, type, (
% 0.22/0.50 tptp_fun_X11_9: $i)).
% 0.22/0.50 tff(tptp_fun_Y12_6_type, type, (
% 0.22/0.50 tptp_fun_Y12_6: $i)).
% 0.22/0.50 tff(tptp_fun_X12_7_type, type, (
% 0.22/0.50 tptp_fun_X12_7: $i)).
% 0.22/0.50 tff(tptp_fun_Y13_4_type, type, (
% 0.22/0.50 tptp_fun_Y13_4: $i)).
% 0.22/0.50 tff(tptp_fun_X13_5_type, type, (
% 0.22/0.50 tptp_fun_X13_5: $i)).
% 0.22/0.50 tff(tptp_fun_Y14_2_type, type, (
% 0.22/0.50 tptp_fun_Y14_2: $i)).
% 0.22/0.50 tff(tptp_fun_X14_3_type, type, (
% 0.22/0.50 tptp_fun_X14_3: $i)).
% 0.22/0.50 tff(tptp_fun_Y15_0_type, type, (
% 0.22/0.50 tptp_fun_Y15_0: $i)).
% 0.22/0.50 tff(tptp_fun_X15_1_type, type, (
% 0.22/0.50 tptp_fun_X15_1: $i)).
% 0.22/0.50 tff(1,plain,
% 0.22/0.50 (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0!31 = n15) | (X0!31 = n14) | (X0!31 = n13) | (X0!31 = n12) | (X0!31 = n11) | (X0!31 = n10) | (X0!31 = n9) | (X0!31 = n8) | (X0!31 = n7) | (X0!31 = n6) | (X0!31 = n5) | (X0!31 = n4) | (X0!31 = n3) | (X0!31 = n2) | (X0!31 = n1) | (X0!31 = n0)) & ((Y0!30 = n15) | (Y0!30 = n14) | (Y0!30 = n13) | (Y0!30 = n12) | (Y0!30 = n11) | (Y0!30 = n10) | (Y0!30 = n9) | (Y0!30 = n8) | (Y0!30 = n7) | (Y0!30 = n6) | (Y0!30 = n5) | (Y0!30 = n4) | (Y0!30 = n3) | (Y0!30 = n2) | (Y0!30 = n1) | (Y0!30 = n0)) & (X1!29 = sum(sum(pred(X0!31), succ(Y0!30)), sum(pred(Y0!30), succ(X0!31)))) & (Y1!28 = sum(sum(pred(X0!31), succ(X0!31)), sum(pred(Y0!30), succ(Y0!30)))) & (X2!27 = sum(sum(pred(X1!29), succ(Y1!28)), sum(pred(Y1!28), succ(X1!29)))) & (Y2!26 = sum(sum(pred(X1!29), succ(X1!29)), sum(pred(Y1!28), succ(Y1!28)))) & (X3!25 = sum(sum(pred(X2!27), succ(Y2!26)), sum(pred(Y2!26), succ(X2!27)))) & (Y3!24 = sum(sum(pred(X2!27), succ(X2!27)), sum(pred(Y2!26), succ(Y2!26)))) & (X4!23 = sum(sum(pred(X3!25), succ(Y3!24)), sum(pred(Y3!24), succ(X3!25)))) & (Y4!22 = sum(sum(pred(X3!25), succ(X3!25)), sum(pred(Y3!24), succ(Y3!24)))) & (X5!21 = sum(sum(pred(X4!23), succ(Y4!22)), sum(pred(Y4!22), succ(X4!23)))) & (Y5!20 = sum(sum(pred(X4!23), succ(X4!23)), sum(pred(Y4!22), succ(Y4!22)))) & (X6!19 = sum(sum(pred(X5!21), succ(Y5!20)), sum(pred(Y5!20), succ(X5!21)))) & (Y6!18 = sum(sum(pred(X5!21), succ(X5!21)), sum(pred(Y5!20), succ(Y5!20)))) & (X7!17 = sum(sum(pred(X6!19), succ(Y6!18)), sum(pred(Y6!18), succ(X6!19)))) & (Y7!16 = sum(sum(pred(X6!19), succ(X6!19)), sum(pred(Y6!18), succ(Y6!18)))) & (X8!15 = sum(sum(pred(X7!17), succ(Y7!16)), sum(pred(Y7!16), succ(X7!17)))) & (Y8!14 = sum(sum(pred(X7!17), succ(X7!17)), sum(pred(Y7!16), succ(Y7!16)))) & (X9!13 = sum(sum(pred(X8!15), succ(Y8!14)), sum(pred(Y8!14), succ(X8!15)))) & (Y9!12 = sum(sum(pred(X8!15), succ(X8!15)), sum(pred(Y8!14), succ(Y8!14)))) & (X10!11 = sum(sum(pred(X9!13), succ(Y9!12)), sum(pred(Y9!12), succ(X9!13)))) & (Y10!10 = sum(sum(pred(X9!13), succ(X9!13)), sum(pred(Y9!12), succ(Y9!12)))) & (X11!9 = sum(sum(pred(X10!11), succ(Y10!10)), sum(pred(Y10!10), succ(X10!11)))) & (Y11!8 = sum(sum(pred(X10!11), succ(X10!11)), sum(pred(Y10!10), succ(Y10!10)))) & (X12!7 = sum(sum(pred(X11!9), succ(Y11!8)), sum(pred(Y11!8), succ(X11!9)))) & (Y12!6 = sum(sum(pred(X11!9), succ(X11!9)), sum(pred(Y11!8), succ(Y11!8)))) & (X13!5 = sum(sum(pred(X12!7), succ(Y12!6)), sum(pred(Y12!6), succ(X12!7)))) & (Y13!4 = sum(sum(pred(X12!7), succ(X12!7)), sum(pred(Y12!6), succ(Y12!6)))) & (X14!3 = sum(sum(pred(X13!5), succ(Y13!4)), sum(pred(Y13!4), succ(X13!5)))) & (Y14!2 = sum(sum(pred(X13!5), succ(X13!5)), sum(pred(Y13!4), succ(Y13!4)))) & (X15!1 = sum(sum(pred(X14!3), succ(Y14!2)), sum(pred(Y14!2), succ(X14!3)))) & (Y15!0 = sum(sum(pred(X14!3), succ(X14!3)), sum(pred(Y14!2), succ(Y14!2)))) & ((~(X15!1 = Y15!0)) | (~(X14!3 = Y14!2)) | (~(X13!5 = Y13!4)) | (~(X12!7 = Y12!6)) | (~(X11!9 = Y11!8)) | (~(X10!11 = Y10!10)) | (~(X9!13 = Y9!12)) | (~(X8!15 = Y8!14)) | (~(X7!17 = Y7!16)) | (~(X6!19 = Y6!18)) | (~(X5!21 = Y5!20)) | (~(X4!23 = Y4!22)) | (~(X3!25 = Y3!24)) | (~(X2!27 = Y2!26)) | (~(X1!29 = Y1!28))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(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) & ((X0!31 = n15) | (X0!31 = n14) | (X0!31 = n13) | (X0!31 = n12) | (X0!31 = n11) | (X0!31 = n10) | (X0!31 = n9) | (X0!31 = n8) | (X0!31 = n7) | (X0!31 = n6) | (X0!31 = n5) | (X0!31 = n4) | (X0!31 = n3) | (X0!31 = n2) | (X0!31 = n1) | (X0!31 = n0)) & ((Y0!30 = n15) | (Y0!30 = n14) | (Y0!30 = n13) | (Y0!30 = n12) | (Y0!30 = n11) | (Y0!30 = n10) | (Y0!30 = n9) | (Y0!30 = n8) | (Y0!30 = n7) | (Y0!30 = n6) | (Y0!30 = n5) | (Y0!30 = n4) | (Y0!30 = n3) | (Y0!30 = n2) | (Y0!30 = n1) | (Y0!30 = n0)) & (X1!29 = sum(sum(pred(X0!31), succ(Y0!30)), sum(pred(Y0!30), succ(X0!31)))) & (Y1!28 = sum(sum(pred(X0!31), succ(X0!31)), sum(pred(Y0!30), succ(Y0!30)))) & (X2!27 = sum(sum(pred(X1!29), succ(Y1!28)), sum(pred(Y1!28), succ(X1!29)))) & (Y2!26 = sum(sum(pred(X1!29), succ(X1!29)), sum(pred(Y1!28), succ(Y1!28)))) & (X3!25 = sum(sum(pred(X2!27), succ(Y2!26)), sum(pred(Y2!26), succ(X2!27)))) & (Y3!24 = sum(sum(pred(X2!27), succ(X2!27)), sum(pred(Y2!26), succ(Y2!26)))) & (X4!23 = sum(sum(pred(X3!25), succ(Y3!24)), sum(pred(Y3!24), succ(X3!25)))) & (Y4!22 = sum(sum(pred(X3!25), succ(X3!25)), sum(pred(Y3!24), succ(Y3!24)))) & (X5!21 = sum(sum(pred(X4!23), succ(Y4!22)), sum(pred(Y4!22), succ(X4!23)))) & (Y5!20 = sum(sum(pred(X4!23), succ(X4!23)), sum(pred(Y4!22), succ(Y4!22)))) & (X6!19 = sum(sum(pred(X5!21), succ(Y5!20)), sum(pred(Y5!20), succ(X5!21)))) & (Y6!18 = sum(sum(pred(X5!21), succ(X5!21)), sum(pred(Y5!20), succ(Y5!20)))) & (X7!17 = sum(sum(pred(X6!19), succ(Y6!18)), sum(pred(Y6!18), succ(X6!19)))) & (Y7!16 = sum(sum(pred(X6!19), succ(X6!19)), sum(pred(Y6!18), succ(Y6!18)))) & (X8!15 = sum(sum(pred(X7!17), succ(Y7!16)), sum(pred(Y7!16), succ(X7!17)))) & (Y8!14 = sum(sum(pred(X7!17), succ(X7!17)), sum(pred(Y7!16), succ(Y7!16)))) & (X9!13 = sum(sum(pred(X8!15), succ(Y8!14)), sum(pred(Y8!14), succ(X8!15)))) & (Y9!12 = sum(sum(pred(X8!15), succ(X8!15)), sum(pred(Y8!14), succ(Y8!14)))) & (X10!11 = sum(sum(pred(X9!13), succ(Y9!12)), sum(pred(Y9!12), succ(X9!13)))) & (Y10!10 = sum(sum(pred(X9!13), succ(X9!13)), sum(pred(Y9!12), succ(Y9!12)))) & (X11!9 = sum(sum(pred(X10!11), succ(Y10!10)), sum(pred(Y10!10), succ(X10!11)))) & (Y11!8 = sum(sum(pred(X10!11), succ(X10!11)), sum(pred(Y10!10), succ(Y10!10)))) & (X12!7 = sum(sum(pred(X11!9), succ(Y11!8)), sum(pred(Y11!8), succ(X11!9)))) & (Y12!6 = sum(sum(pred(X11!9), succ(X11!9)), sum(pred(Y11!8), succ(Y11!8)))) & (X13!5 = sum(sum(pred(X12!7), succ(Y12!6)), sum(pred(Y12!6), succ(X12!7)))) & (Y13!4 = sum(sum(pred(X12!7), succ(X12!7)), sum(pred(Y12!6), succ(Y12!6)))) & (X14!3 = sum(sum(pred(X13!5), succ(Y13!4)), sum(pred(Y13!4), succ(X13!5)))) & (Y14!2 = sum(sum(pred(X13!5), succ(X13!5)), sum(pred(Y13!4), succ(Y13!4)))) & (X15!1 = sum(sum(pred(X14!3), succ(Y14!2)), sum(pred(Y14!2), succ(X14!3)))) & (Y15!0 = sum(sum(pred(X14!3), succ(X14!3)), sum(pred(Y14!2), succ(Y14!2)))) & ((~(X15!1 = Y15!0)) | (~(X14!3 = Y14!2)) | (~(X13!5 = Y13!4)) | (~(X12!7 = Y12!6)) | (~(X11!9 = Y11!8)) | (~(X10!11 = Y10!10)) | (~(X9!13 = Y9!12)) | (~(X8!15 = Y8!14)) | (~(X7!17 = Y7!16)) | (~(X6!19 = Y6!18)) | (~(X5!21 = Y5!20)) | (~(X4!23 = Y4!22)) | (~(X3!25 = Y3!24)) | (~(X2!27 = Y2!26)) | (~(X1!29 = Y1!28))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(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)))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(2,plain,
% 0.22/0.53 (?[X0: $i, Y0: $i, X1: $i, Y1: $i, X2: $i, Y2: $i, X3: $i, Y3: $i, X4: $i, Y4: $i, X5: $i, Y5: $i, X6: $i, Y6: $i, X7: $i, Y7: $i, X8: $i, Y8: $i, X9: $i, Y9: $i, X10: $i, Y10: $i, X11: $i, Y11: $i, X12: $i, Y12: $i, X13: $i, Y13: $i, X14: $i, Y14: $i, X15: $i, Y15: $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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(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))) <=> ?[X0: $i, Y0: $i, X1: $i, Y1: $i, X2: $i, Y2: $i, X3: $i, Y3: $i, X4: $i, Y4: $i, X5: $i, Y5: $i, X6: $i, Y6: $i, X7: $i, Y7: $i, X8: $i, Y8: $i, X9: $i, Y9: $i, X10: $i, Y10: $i, X11: $i, Y11: $i, X12: $i, Y12: $i, X13: $i, Y13: $i, X14: $i, Y14: $i, X15: $i, Y15: $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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(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)))),
% 0.22/0.57 inference(rewrite,[status(thm)],[])).
% 0.22/0.57 tff(3,plain,
% 0.22/0.57 (^[X0: $i, Y0: $i, X1: $i, Y1: $i, X2: $i, Y2: $i, X3: $i, Y3: $i, X4: $i, Y4: $i, X5: $i, Y5: $i, X6: $i, Y6: $i, X7: $i, Y7: $i, X8: $i, Y8: $i, X9: $i, Y9: $i, X10: $i, Y10: $i, X11: $i, Y11: $i, X12: $i, Y12: $i, X13: $i, Y13: $i, X14: $i, Y14: $i, X15: $i, Y15: $i] : 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ns(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(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((((X0 = n0) | (X0 = n1)) | (X0 = n2)) <=> ((X0 = n2) | (X0 = n1) | (X0 = n0))), (((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) <=> (((X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n3)))), rewrite((((X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n3)) <=> ((X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) <=> ((X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), ((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) <=> (((X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n4)))), rewrite((((X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n4)) <=> ((X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), ((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) <=> ((X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), (((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) <=> (((X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n5)))), rewrite((((X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n5)) <=> ((X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) <=> ((X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), ((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) <=> (((X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n6)))), rewrite((((X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n6)) <=> ((X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), ((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) <=> ((X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), (((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) <=> (((X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n7)))), rewrite((((X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n7)) <=> ((X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) <=> ((X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), ((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) <=> (((X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n8)))), rewrite((((X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n8)) <=> ((X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), ((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) <=> ((X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), (((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) <=> (((X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n9)))), rewrite((((X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n9)) <=> ((X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) <=> ((X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), ((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) <=> (((X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n10)))), rewrite((((X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n10)) <=> ((X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), ((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) <=> ((X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), (((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) <=> (((X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n11)))), rewrite((((X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n11)) <=> ((X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) <=> ((X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), ((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) <=> (((X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n12)))), rewrite((((X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n12)) <=> ((X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), ((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) <=> ((X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), (((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) <=> (((X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n13)))), rewrite((((X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n13)) <=> ((X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) <=> ((X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) <=> (((X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n14)))), rewrite((((X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n14)) <=> ((X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) <=> ((X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)))), (((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15)) <=> (((X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n15)))), rewrite((((X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) | (X0 = n15)) <=> ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))), (((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15)) <=> ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = 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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14)) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = 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)) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = 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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = 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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = 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((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) <=> ((Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) <=> (((Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n3)))), rewrite((((Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n3)) <=> ((Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) <=> ((Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), ((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) <=> (((Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n4)))), rewrite((((Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n4)) <=> ((Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), ((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) <=> ((Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), (((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) <=> (((Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n5)))), rewrite((((Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n5)) <=> ((Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) <=> ((Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), ((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) <=> (((Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n6)))), rewrite((((Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n6)) <=> ((Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), ((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) <=> ((Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), (((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) <=> (((Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n7)))), rewrite((((Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n7)) <=> ((Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) <=> ((Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), ((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) <=> (((Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n8)))), rewrite((((Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n8)) <=> ((Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), ((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) <=> ((Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), (((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) <=> (((Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n9)))), rewrite((((Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n9)) <=> ((Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) <=> ((Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), ((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) <=> (((Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n10)))), rewrite((((Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n10)) <=> ((Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), ((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) <=> ((Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), (((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) <=> (((Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n11)))), rewrite((((Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n11)) <=> ((Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) <=> ((Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), ((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) <=> (((Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n12)))), rewrite((((Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n12)) <=> ((Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), ((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) <=> ((Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), (((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) <=> (((Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n13)))), rewrite((((Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n13)) <=> ((Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) <=> ((Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) <=> (((Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n14)))), rewrite((((Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n14)) <=> ((Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) <=> ((Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)))), (((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15)) <=> (((Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n15)))), rewrite((((Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) | (Y0 = n15)) <=> ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))), (((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15)) <=> ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = 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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = 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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0))) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = 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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = 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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = 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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))))), trans(monotonicity(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(((~(X1 = Y1)) | (~(X2 = Y2))) <=> ((~(X2 = Y2)) | (~(X1 = Y1)))), ((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) <=> (((~(X2 = Y2)) | (~(X1 = Y1))) | (~(X3 = Y3))))), rewrite((((~(X2 = Y2)) | (~(X1 = Y1))) | (~(X3 = Y3))) <=> ((~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) <=> ((~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), (((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) <=> (((~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X4 = Y4))))), rewrite((((~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X4 = Y4))) <=> ((~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), (((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) <=> ((~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) <=> (((~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X5 = Y5))))), rewrite((((~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X5 = Y5))) <=> ((~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) <=> ((~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), (((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) <=> (((~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X6 = Y6))))), rewrite((((~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X6 = Y6))) <=> ((~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), (((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) <=> ((~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) <=> (((~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X7 = Y7))))), rewrite((((~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X7 = Y7))) <=> ((~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) <=> ((~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), (((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) <=> (((~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X8 = Y8))))), rewrite((((~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X8 = Y8))) <=> ((~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), (((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) <=> ((~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) <=> (((~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X9 = Y9))))), rewrite((((~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X9 = Y9))) <=> ((~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) <=> ((~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), (((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) <=> (((~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X10 = Y10))))), rewrite((((~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X10 = Y10))) <=> ((~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), (((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) <=> ((~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) <=> (((~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X11 = Y11))))), rewrite((((~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X11 = Y11))) <=> ((~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) <=> ((~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), (((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) <=> (((~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X12 = Y12))))), rewrite((((~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X12 = Y12))) <=> ((~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), (((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) <=> ((~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) <=> (((~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X13 = Y13))))), rewrite((((~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X13 = Y13))) <=> ((~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) <=> ((~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) <=> (((~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X14 = Y14))))), rewrite((((~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X14 = Y14))) <=> ((~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) <=> ((~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15))) <=> (((~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X15 = Y15))))), rewrite((((~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) | (~(X15 = Y15))) <=> ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))), ((((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15))) <=> ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) <=> (((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))))), rewrite((((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))))), ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) <=> ((succ(n0) = n1) & (succ(n1) = n2) & (succ(n2) = n3) & (succ(n3) = n4) & (succ(n4) = n5) & (succ(n5) = n6) & (succ(n6) = n7) & (succ(n7) = n8) & (succ(n8) = n9) & (succ(n9) = n10) & (succ(n10) = n11) & (succ(n11) = n12) & (succ(n12) = n13) & (succ(n13) = n14) & (succ(n14) = n15) & (succ(n15) = n0) & (pred(n0) = n15) & (pred(n1) = n0) & (pred(n2) = n1) & (pred(n3) = n2) & (pred(n4) = n3) & (pred(n5) = n4) & (pred(n6) = n5) & (pred(n7) = n6) & (pred(n8) = n7) & (pred(n9) = n8) & (pred(n10) = n9) & (pred(n11) = n10) & (pred(n12) = n11) & (pred(n13) = n12) & (pred(n14) = n13) & (pred(n15) = n14) & (sum(n0, n0) = n0) & (sum(n0, n1) = n1) & (sum(n0, n2) = n2) & (sum(n0, n3) = n3) & (sum(n0, n4) = n4) & (sum(n0, n5) = n5) & (sum(n0, n6) = n6) & (sum(n0, n7) = n7) & (sum(n0, n8) = n8) & (sum(n0, n9) = n9) & (sum(n0, n10) = n10) & (sum(n0, n11) = n11) & (sum(n0, n12) = n12) & (sum(n0, n13) = n13) & (sum(n0, n14) = n14) & (sum(n0, n15) = n15) & (sum(n1, n0) = n1) & (sum(n1, n1) = n2) & (sum(n1, n2) = n3) & (sum(n1, n3) = n4) & (sum(n1, n4) = n5) & (sum(n1, n5) = n6) & (sum(n1, n6) = n7) & (sum(n1, n7) = n8) & (sum(n1, n8) = n9) & (sum(n1, n9) = n10) & (sum(n1, n10) = n11) & (sum(n1, n11) = n12) & (sum(n1, n12) = n13) & (sum(n1, n13) = n14) & (sum(n1, n14) = n15) & (sum(n1, n15) = n0) & (sum(n2, n0) = n2) & (sum(n2, n1) = n3) & (sum(n2, n2) = n4) & (sum(n2, n3) = n5) & (sum(n2, n4) = n6) & (sum(n2, n5) = n7) & (sum(n2, n6) = n8) & (sum(n2, n7) = n9) & (sum(n2, n8) = n10) & (sum(n2, n9) = n11) & (sum(n2, n10) = n12) & (sum(n2, n11) = n13) & (sum(n2, n12) = n14) & (sum(n2, n13) = n15) & (sum(n2, n14) = n0) & (sum(n2, n15) = n1) & (sum(n3, n0) = n3) & (sum(n3, n1) = n4) & (sum(n3, n2) = n5) & (sum(n3, n3) = n6) & (sum(n3, n4) = n7) & (sum(n3, n5) = n8) & (sum(n3, n6) = n9) & (sum(n3, n7) = n10) & (sum(n3, n8) = n11) & (sum(n3, n9) = n12) & (sum(n3, n10) = n13) & (sum(n3, n11) = n14) & (sum(n3, n12) = n15) & (sum(n3, n13) = n0) & (sum(n3, n14) = n1) & (sum(n3, n15) = n2) & (sum(n4, n0) = n4) & (sum(n4, n1) = n5) & (sum(n4, n2) = n6) & (sum(n4, n3) = n7) & (sum(n4, n4) = n8) & (sum(n4, n5) = n9) & (sum(n4, n6) = n10) & (sum(n4, n7) = n11) & (sum(n4, n8) = n12) & (sum(n4, n9) = n13) & (sum(n4, n10) = n14) & (sum(n4, n11) = n15) & (sum(n4, n12) = n0) & (sum(n4, n13) = n1) & (sum(n4, n14) = n2) & (sum(n4, n15) = n3) & (sum(n5, n0) = n5) & (sum(n5, n1) = n6) & (sum(n5, n2) = n7) & (sum(n5, n3) = n8) & (sum(n5, n4) = n9) & (sum(n5, n5) = n10) & (sum(n5, n6) = n11) & (sum(n5, n7) = n12) & (sum(n5, n8) = n13) & (sum(n5, n9) = n14) & (sum(n5, n10) = n15) & (sum(n5, n11) = n0) & (sum(n5, n12) = n1) & (sum(n5, n13) = n2) & (sum(n5, n14) = n3) & (sum(n5, n15) = n4) & (sum(n6, n0) = n6) & (sum(n6, n1) = n7) & (sum(n6, n2) = n8) & (sum(n6, n3) = n9) & (sum(n6, n4) = n10) & (sum(n6, n5) = n11) & (sum(n6, n6) = n12) & (sum(n6, n7) = n13) & (sum(n6, n8) = n14) & (sum(n6, n9) = n15) & (sum(n6, n10) = n0) & (sum(n6, n11) = n1) & (sum(n6, n12) = n2) & (sum(n6, n13) = n3) & (sum(n6, n14) = n4) & (sum(n6, n15) = n5) & (sum(n7, n0) = n7) & (sum(n7, n1) = n8) & (sum(n7, n2) = n9) & (sum(n7, n3) = n10) & (sum(n7, n4) = n11) & (sum(n7, n5) = n12) & (sum(n7, n6) = n13) & (sum(n7, n7) = n14) & (sum(n7, n8) = n15) & (sum(n7, n9) = n0) & (sum(n7, n10) = n1) & (sum(n7, n11) = n2) & (sum(n7, n12) = n3) & (sum(n7, n13) = n4) & (sum(n7, n14) = n5) & (sum(n7, n15) = n6) & (sum(n8, n0) = n8) & (sum(n8, n1) = n9) & (sum(n8, n2) = n10) & (sum(n8, n3) = n11) & (sum(n8, n4) = n12) & (sum(n8, n5) = n13) & (sum(n8, n6) = n14) & (sum(n8, n7) = n15) & (sum(n8, n8) = n0) & (sum(n8, n9) = n1) & (sum(n8, n10) = n2) & (sum(n8, n11) = n3) & (sum(n8, n12) = n4) & (sum(n8, n13) = n5) & (sum(n8, n14) = n6) & (sum(n8, n15) = n7) & (sum(n9, n0) = n9) & (sum(n9, n1) = n10) & (sum(n9, n2) = n11) & (sum(n9, n3) = n12) & (sum(n9, n4) = n13) & (sum(n9, n5) = n14) & (sum(n9, n6) = n15) & (sum(n9, n7) = n0) & (sum(n9, n8) = n1) & (sum(n9, n9) = n2) & (sum(n9, n10) = n3) & (sum(n9, n11) = n4) & (sum(n9, n12) = n5) & (sum(n9, n13) = n6) & (sum(n9, n14) = n7) & (sum(n9, n15) = n8) & (sum(n10, n0) = n10) & (sum(n10, n1) = n11) & (sum(n10, n2) = n12) & (sum(n10, n3) = n13) & (sum(n10, n4) = n14) & (sum(n10, n5) = n15) & (sum(n10, n6) = n0) & (sum(n10, n7) = n1) & (sum(n10, n8) = n2) & (sum(n10, n9) = n3) & (sum(n10, n10) = n4) & (sum(n10, n11) = n5) & (sum(n10, n12) = n6) & (sum(n10, n13) = n7) & (sum(n10, n14) = n8) & (sum(n10, n15) = n9) & (sum(n11, n0) = n11) & (sum(n11, n1) = n12) & (sum(n11, n2) = n13) & (sum(n11, n3) = n14) & (sum(n11, n4) = n15) & (sum(n11, n5) = n0) & (sum(n11, n6) = n1) & (sum(n11, n7) = n2) & (sum(n11, n8) = n3) & (sum(n11, n9) = n4) & (sum(n11, n10) = n5) & (sum(n11, n11) = n6) & (sum(n11, n12) = n7) & (sum(n11, n13) = n8) & (sum(n11, n14) = n9) & (sum(n11, n15) = n10) & (sum(n12, n0) = n12) & (sum(n12, n1) = n13) & (sum(n12, n2) = n14) & (sum(n12, n3) = n15) & (sum(n12, n4) = n0) & (sum(n12, n5) = n1) & (sum(n12, n6) = n2) & (sum(n12, n7) = n3) & (sum(n12, n8) = n4) & (sum(n12, n9) = n5) & (sum(n12, n10) = n6) & (sum(n12, n11) = n7) & (sum(n12, n12) = n8) & (sum(n12, n13) = n9) & (sum(n12, n14) = n10) & (sum(n12, n15) = n11) & (sum(n13, n0) = n13) & (sum(n13, n1) = n14) & (sum(n13, n2) = n15) & (sum(n13, n3) = n0) & (sum(n13, n4) = n1) & (sum(n13, n5) = n2) & (sum(n13, n6) = n3) & (sum(n13, n7) = n4) & (sum(n13, n8) = n5) & (sum(n13, n9) = n6) & (sum(n13, n10) = n7) & (sum(n13, n11) = n8) & (sum(n13, n12) = n9) & (sum(n13, n13) = n10) & (sum(n13, n14) = n11) & (sum(n13, n15) = n12) & (sum(n14, n0) = n14) & (sum(n14, n1) = n15) & (sum(n14, n2) = n0) & (sum(n14, n3) = n1) & (sum(n14, n4) = n2) & (sum(n14, n5) = n3) & (sum(n14, n6) = n4) & (sum(n14, n7) = n5) & (sum(n14, n8) = n6) & (sum(n14, n9) = n7) & (sum(n14, n10) = n8) & (sum(n14, n11) = n9) & (sum(n14, n12) = n10) & (sum(n14, n13) = n11) & (sum(n14, n14) = n12) & (sum(n14, n15) = n13) & (sum(n15, n0) = n15) & (sum(n15, n1) = n0) & (sum(n15, n2) = n1) & (sum(n15, n3) = n2) & (sum(n15, n4) = n3) & (sum(n15, n5) = n4) & (sum(n15, n6) = n5) & (sum(n15, n7) = n6) & (sum(n15, n8) = n7) & (sum(n15, n9) = n8) & (sum(n15, n10) = n9) & (sum(n15, n11) = n10) & (sum(n15, n12) = n11) & (sum(n15, n13) = n12) & (sum(n15, n14) = n13) & (sum(n15, n15) = n14) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))))), (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((succ(n0) = n1) & (succ(n1) = n2)) & (succ(n2) = n3)) & (succ(n3) = n4)) & (succ(n4) = n5)) & (succ(n5) = n6)) & (succ(n6) = n7)) & (succ(n7) = n8)) & (succ(n8) = n9)) & (succ(n9) = n10)) & (succ(n10) = n11)) & (succ(n11) = n12)) & (succ(n12) = n13)) & (succ(n13) = n14)) & (succ(n14) = n15)) & (succ(n15) = n0)) & (pred(n0) = n15)) & (pred(n1) = n0)) & (pred(n2) = n1)) & (pred(n3) = n2)) & (pred(n4) = n3)) & (pred(n5) = n4)) & (pred(n6) = n5)) & (pred(n7) = n6)) & (pred(n8) = n7)) & (pred(n9) = n8)) & (pred(n10) = n9)) & (pred(n11) = n10)) & (pred(n12) = n11)) & (pred(n13) = n12)) & (pred(n14) = n13)) & (pred(n15) = n14)) & (sum(n0, n0) = n0)) & (sum(n0, n1) = n1)) & (sum(n0, n2) = n2)) & (sum(n0, n3) = n3)) & (sum(n0, n4) = n4)) & (sum(n0, n5) = n5)) & (sum(n0, n6) = n6)) & (sum(n0, n7) = n7)) & (sum(n0, n8) = n8)) & (sum(n0, n9) = n9)) & (sum(n0, n10) = n10)) & (sum(n0, n11) = n11)) & (sum(n0, n12) = n12)) & (sum(n0, n13) = n13)) & (sum(n0, n14) = n14)) & (sum(n0, n15) = n15)) & (sum(n1, n0) = n1)) & (sum(n1, n1) = n2)) & (sum(n1, n2) = n3)) & (sum(n1, n3) = n4)) & (sum(n1, n4) = n5)) & (sum(n1, n5) = n6)) & (sum(n1, n6) = n7)) & (sum(n1, n7) = n8)) & (sum(n1, n8) = n9)) & (sum(n1, n9) = n10)) & (sum(n1, n10) = n11)) & (sum(n1, n11) = n12)) & (sum(n1, n12) = n13)) & (sum(n1, n13) = n14)) & (sum(n1, n14) = n15)) & (sum(n1, n15) = n0)) & (sum(n2, n0) = n2)) & (sum(n2, n1) = n3)) & (sum(n2, n2) = n4)) & (sum(n2, n3) = n5)) & (sum(n2, n4) = n6)) & (sum(n2, n5) = n7)) & (sum(n2, n6) = n8)) & (sum(n2, n7) = n9)) & (sum(n2, n8) = n10)) & (sum(n2, n9) = n11)) & (sum(n2, n10) = n12)) & (sum(n2, n11) = n13)) & (sum(n2, n12) = n14)) & (sum(n2, n13) = n15)) & (sum(n2, n14) = n0)) & (sum(n2, n15) = n1)) & (sum(n3, n0) = n3)) & (sum(n3, n1) = n4)) & (sum(n3, n2) = n5)) & (sum(n3, n3) = n6)) & (sum(n3, n4) = n7)) & (sum(n3, n5) = n8)) & (sum(n3, n6) = n9)) & (sum(n3, n7) = n10)) & (sum(n3, n8) = n11)) & (sum(n3, n9) = n12)) & (sum(n3, n10) = n13)) & (sum(n3, n11) = n14)) & (sum(n3, n12) = n15)) & (sum(n3, n13) = n0)) & (sum(n3, n14) = n1)) & (sum(n3, n15) = n2)) & (sum(n4, n0) = n4)) & (sum(n4, n1) = n5)) & (sum(n4, n2) = n6)) & (sum(n4, n3) = n7)) & (sum(n4, n4) = n8)) & (sum(n4, n5) = n9)) & (sum(n4, n6) = n10)) & (sum(n4, n7) = n11)) & (sum(n4, n8) = n12)) & (sum(n4, n9) = n13)) & (sum(n4, n10) = n14)) & (sum(n4, n11) = n15)) & (sum(n4, n12) = n0)) & (sum(n4, n13) = n1)) & (sum(n4, n14) = n2)) & (sum(n4, n15) = n3)) & (sum(n5, n0) = n5)) & (sum(n5, n1) = n6)) & (sum(n5, n2) = n7)) & (sum(n5, n3) = n8)) & (sum(n5, n4) = n9)) & (sum(n5, n5) = n10)) & (sum(n5, n6) = n11)) & (sum(n5, n7) = n12)) & (sum(n5, n8) = n13)) & (sum(n5, n9) = n14)) & (sum(n5, n10) = n15)) & (sum(n5, n11) = n0)) & (sum(n5, n12) = n1)) & (sum(n5, n13) = n2)) & (sum(n5, n14) = n3)) & (sum(n5, n15) = n4)) & (sum(n6, n0) = n6)) & (sum(n6, n1) = n7)) & (sum(n6, n2) = n8)) & (sum(n6, n3) = n9)) & (sum(n6, n4) = n10)) & (sum(n6, n5) = n11)) & (sum(n6, n6) = n12)) & (sum(n6, n7) = n13)) & (sum(n6, n8) = n14)) & (sum(n6, n9) = n15)) & (sum(n6, n10) = n0)) & (sum(n6, n11) = n1)) & (sum(n6, n12) = n2)) & (sum(n6, n13) = n3)) & (sum(n6, n14) = n4)) & (sum(n6, n15) = n5)) & (sum(n7, n0) = n7)) & (sum(n7, n1) = n8)) & (sum(n7, n2) = n9)) & (sum(n7, n3) = n10)) & (sum(n7, n4) = n11)) & (sum(n7, n5) = n12)) & (sum(n7, n6) = n13)) & (sum(n7, n7) = n14)) & (sum(n7, n8) = n15)) & (sum(n7, n9) = n0)) & (sum(n7, n10) = n1)) & (sum(n7, n11) = n2)) & (sum(n7, n12) = n3)) & (sum(n7, n13) = n4)) & (sum(n7, n14) = n5)) & (sum(n7, n15) = n6)) & (sum(n8, n0) = n8)) & (sum(n8, n1) = n9)) & (sum(n8, n2) = n10)) & (sum(n8, n3) = n11)) & (sum(n8, n4) = n12)) & (sum(n8, n5) = n13)) & (sum(n8, n6) = n14)) & (sum(n8, n7) = n15)) & (sum(n8, n8) = n0)) & (sum(n8, n9) = n1)) & (sum(n8, n10) = n2)) & (sum(n8, n11) = n3)) & (sum(n8, n12) = n4)) & (sum(n8, n13) = n5)) & (sum(n8, n14) = n6)) & (sum(n8, n15) = n7)) & (sum(n9, n0) = n9)) & (sum(n9, n1) = n10)) & (sum(n9, n2) = n11)) & (sum(n9, n3) = n12)) & (sum(n9, n4) = n13)) & (sum(n9, n5) = n14)) & (sum(n9, n6) = n15)) & (sum(n9, n7) = n0)) & (sum(n9, n8) = n1)) & (sum(n9, n9) = n2)) & (sum(n9, n10) = n3)) & (sum(n9, n11) = n4)) & (sum(n9, n12) = n5)) & (sum(n9, n13) = n6)) & (sum(n9, n14) = n7)) & (sum(n9, n15) = n8)) & (sum(n10, n0) = n10)) & (sum(n10, n1) = n11)) & (sum(n10, n2) = n12)) & (sum(n10, n3) = n13)) & (sum(n10, n4) = n14)) & (sum(n10, n5) = n15)) & (sum(n10, n6) = n0)) & (sum(n10, n7) = n1)) & (sum(n10, n8) = n2)) & (sum(n10, n9) = n3)) & (sum(n10, n10) = n4)) & (sum(n10, n11) = n5)) & (sum(n10, n12) = n6)) & (sum(n10, n13) = n7)) & (sum(n10, n14) = n8)) & (sum(n10, n15) = n9)) & (sum(n11, n0) = n11)) & (sum(n11, n1) = n12)) & (sum(n11, n2) = n13)) & (sum(n11, n3) = n14)) & (sum(n11, n4) = n15)) & (sum(n11, n5) = n0)) & (sum(n11, n6) = n1)) & (sum(n11, n7) = n2)) & (sum(n11, n8) = n3)) & (sum(n11, n9) = n4)) & (sum(n11, n10) = n5)) & (sum(n11, n11) = n6)) & (sum(n11, n12) = n7)) & (sum(n11, n13) = n8)) & (sum(n11, n14) = n9)) & (sum(n11, n15) = n10)) & (sum(n12, n0) = n12)) & (sum(n12, n1) = n13)) & (sum(n12, n2) = n14)) & (sum(n12, n3) = n15)) & (sum(n12, n4) = n0)) & (sum(n12, n5) = n1)) & (sum(n12, n6) = n2)) & (sum(n12, n7) = n3)) & (sum(n12, n8) = n4)) & (sum(n12, n9) = n5)) & (sum(n12, n10) = n6)) & (sum(n12, n11) = n7)) & (sum(n12, n12) = n8)) & (sum(n12, n13) = n9)) & (sum(n12, n14) = n10)) & (sum(n12, n15) = n11)) & (sum(n13, n0) = n13)) & (sum(n13, n1) = n14)) & (sum(n13, n2) = n15)) & (sum(n13, n3) = n0)) & (sum(n13, n4) = n1)) & (sum(n13, n5) = n2)) & (sum(n13, n6) = n3)) & (sum(n13, n7) = n4)) & (sum(n13, n8) = n5)) & (sum(n13, n9) = n6)) & (sum(n13, n10) = n7)) & (sum(n13, n11) = n8)) & (sum(n13, n12) = n9)) & (sum(n13, n13) = n10)) & (sum(n13, n14) = n11)) & (sum(n13, n15) = n12)) & (sum(n14, n0) = n14)) & (sum(n14, n1) = n15)) & (sum(n14, n2) = n0)) & (sum(n14, n3) = n1)) & (sum(n14, n4) = n2)) & (sum(n14, n5) = n3)) & (sum(n14, n6) = n4)) & (sum(n14, n7) = n5)) & (sum(n14, n8) = n6)) & (sum(n14, n9) = n7)) & (sum(n14, n10) = n8)) & (sum(n14, n11) = n9)) & (sum(n14, n12) = n10)) & (sum(n14, n13) = n11)) & (sum(n14, n14) = n12)) & (sum(n14, n15) = n13)) & (sum(n15, n0) = n15)) & (sum(n15, n1) = n0)) & (sum(n15, n2) = n1)) & (sum(n15, n3) = n2)) & (sum(n15, n4) = n3)) & (sum(n15, n5) = n4)) & (sum(n15, n6) = n5)) & (sum(n15, n7) = n6)) & (sum(n15, n8) = n7)) & (sum(n15, n9) = n8)) & (sum(n15, n10) = n9)) & (sum(n15, n11) = n10)) & (sum(n15, n12) = n11)) & (sum(n15, n13) = n12)) & (sum(n15, n14) = n13)) & (sum(n15, n15) = n14)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(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)) & ((((((((((((((((X0 = n0) | (X0 = n1)) | (X0 = n2)) | (X0 = n3)) | (X0 = n4)) | (X0 = n5)) | (X0 = n6)) | (X0 = n7)) | (X0 = n8)) | (X0 = n9)) | (X0 = n10)) | (X0 = n11)) | (X0 = n12)) | (X0 = n13)) | (X0 = n14)) | (X0 = n15))) & ((((((((((((((((Y0 = n0) | (Y0 = n1)) | (Y0 = n2)) | (Y0 = n3)) | (Y0 = n4)) | (Y0 = n5)) | (Y0 = n6)) | (Y0 = n7)) | (Y0 = n8)) | (Y0 = n9)) | (Y0 = n10)) | (Y0 = n11)) | (Y0 = n12)) | (Y0 = n13)) | (Y0 = n14)) | (Y0 = n15))) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0))))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0))))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1))))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1))))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2))))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2))))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3))))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3))))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4))))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4))))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5))))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5))))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6))))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6))))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7))))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7))))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8))))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8))))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9))))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9))))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10))))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10))))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11))))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11))))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12))))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12))))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13))))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13))))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14))))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14))))) & (((((((((((((((~(X1 = Y1)) | (~(X2 = Y2))) | (~(X3 = Y3))) | (~(X4 = Y4))) | (~(X5 = Y5))) | (~(X6 = Y6))) | (~(X7 = Y7))) | (~(X8 = Y8))) | (~(X9 = Y9))) | (~(X10 = Y10))) | (~(X11 = Y11))) | (~(X12 = Y12))) | (~(X13 = Y13))) | (~(X14 = Y14))) | (~(X15 = Y15)))) & (~(n0 = n1))) & (~(n0 = n2))) & (~(n0 = n3))) & (~(n0 = n4))) & (~(n0 = n5))) & (~(n0 = n6))) & (~(n0 = n7))) & (~(n0 = n8))) & (~(n0 = n9))) & (~(n0 = n10))) & (~(n0 = n11))) & (~(n0 = n12))) & (~(n0 = n13))) & (~(n0 = n14))) & (~(n0 = n15))) & (~(n1 = n2))) & (~(n1 = n3))) & (~(n1 = n4))) & (~(n1 = n5))) & (~(n1 = n6))) & (~(n1 = n7))) & (~(n1 = n8))) & (~(n1 = n9))) & (~(n1 = n10))) & (~(n1 = n11))) & (~(n1 = n12))) & (~(n1 = n13))) & (~(n1 = n14))) & (~(n1 = n15))) & (~(n2 = n3))) & (~(n2 = n4))) & (~(n2 = n5))) & (~(n2 = n6))) & (~(n2 = n7))) & (~(n2 = n8))) & (~(n2 = n9))) & (~(n2 = n10))) & (~(n2 = n11))) & (~(n2 = n12))) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(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) & ((X0 = n15) | (X0 = n14) | (X0 = n13) | (X0 = n12) | (X0 = n11) | (X0 = n10) | (X0 = n9) | (X0 = n8) | (X0 = n7) | (X0 = n6) | (X0 = n5) | (X0 = n4) | (X0 = n3) | (X0 = n2) | (X0 = n1) | (X0 = n0)) & ((Y0 = n15) | (Y0 = n14) | (Y0 = n13) | (Y0 = n12) | (Y0 = n11) | (Y0 = n10) | (Y0 = n9) | (Y0 = n8) | (Y0 = n7) | (Y0 = n6) | (Y0 = n5) | (Y0 = n4) | (Y0 = n3) | (Y0 = n2) | (Y0 = n1) | (Y0 = n0)) & (X1 = sum(sum(pred(X0), succ(Y0)), sum(pred(Y0), succ(X0)))) & (Y1 = sum(sum(pred(X0), succ(X0)), sum(pred(Y0), succ(Y0)))) & (X2 = sum(sum(pred(X1), succ(Y1)), sum(pred(Y1), succ(X1)))) & (Y2 = sum(sum(pred(X1), succ(X1)), sum(pred(Y1), succ(Y1)))) & (X3 = sum(sum(pred(X2), succ(Y2)), sum(pred(Y2), succ(X2)))) & (Y3 = sum(sum(pred(X2), succ(X2)), sum(pred(Y2), succ(Y2)))) & (X4 = sum(sum(pred(X3), succ(Y3)), sum(pred(Y3), succ(X3)))) & (Y4 = sum(sum(pred(X3), succ(X3)), sum(pred(Y3), succ(Y3)))) & (X5 = sum(sum(pred(X4), succ(Y4)), sum(pred(Y4), succ(X4)))) & (Y5 = sum(sum(pred(X4), succ(X4)), sum(pred(Y4), succ(Y4)))) & (X6 = sum(sum(pred(X5), succ(Y5)), sum(pred(Y5), succ(X5)))) & (Y6 = sum(sum(pred(X5), succ(X5)), sum(pred(Y5), succ(Y5)))) & (X7 = sum(sum(pred(X6), succ(Y6)), sum(pred(Y6), succ(X6)))) & (Y7 = sum(sum(pred(X6), succ(X6)), sum(pred(Y6), succ(Y6)))) & (X8 = sum(sum(pred(X7), succ(Y7)), sum(pred(Y7), succ(X7)))) & (Y8 = sum(sum(pred(X7), succ(X7)), sum(pred(Y7), succ(Y7)))) & (X9 = sum(sum(pred(X8), succ(Y8)), sum(pred(Y8), succ(X8)))) & (Y9 = sum(sum(pred(X8), succ(X8)), sum(pred(Y8), succ(Y8)))) & (X10 = sum(sum(pred(X9), succ(Y9)), sum(pred(Y9), succ(X9)))) & (Y10 = sum(sum(pred(X9), succ(X9)), sum(pred(Y9), succ(Y9)))) & (X11 = sum(sum(pred(X10), succ(Y10)), sum(pred(Y10), succ(X10)))) & (Y11 = sum(sum(pred(X10), succ(X10)), sum(pred(Y10), succ(Y10)))) & (X12 = sum(sum(pred(X11), succ(Y11)), sum(pred(Y11), succ(X11)))) & (Y12 = sum(sum(pred(X11), succ(X11)), sum(pred(Y11), succ(Y11)))) & (X13 = sum(sum(pred(X12), succ(Y12)), sum(pred(Y12), succ(X12)))) & (Y13 = sum(sum(pred(X12), succ(X12)), sum(pred(Y12), succ(Y12)))) & (X14 = sum(sum(pred(X13), succ(Y13)), sum(pred(Y13), succ(X13)))) & (Y14 = sum(sum(pred(X13), succ(X13)), sum(pred(Y13), succ(Y13)))) & (X15 = sum(sum(pred(X14), succ(Y14)), sum(pred(Y14), succ(X14)))) & (Y15 = sum(sum(pred(X14), succ(X14)), sum(pred(Y14), succ(Y14)))) & ((~(X15 = Y15)) | (~(X14 = Y14)) | (~(X13 = Y13)) | (~(X12 = Y12)) | (~(X11 = Y11)) | (~(X10 = Y10)) | (~(X9 = Y9)) | (~(X8 = Y8)) | (~(X7 = Y7)) | (~(X6 = Y6)) | (~(X5 = Y5)) | (~(X4 = Y4)) | (~(X3 = Y3)) | (~(X2 = Y2)) | (~(X1 = Y1))) & (~(n0 = n1)) & (~(n0 = n2)) & (~(n0 = n3)) & (~(n0 = n4)) & (~(n0 = n5)) & (~(n0 = n6)) & (~(n0 = n7)) & (~(n0 = n8)) & (~(n0 = n9)) & (~(n0 = n10)) & (~(n0 = n11)) & (~(n0 = n12)) & (~(n0 = n13)) & (~(n0 = n14)) & (~(n0 = n15)) & (~(n1 = n2)) & (~(n1 = n3)) & (~(n1 = n4)) & (~(n1 = n5)) & (~(n1 = n6)) & (~(n1 = n7)) & (~(n1 = n8)) & (~(n1 = n9)) & (~(n1 = n10)) & (~(n1 = n11)) & (~(n1 = n12)) & (~(n1 = n13)) & (~(n1 = n14)) & (~(n1 = n15)) & (~(n2 = n3)) & (~(n2 = n4)) & (~(n2 = n5)) & (~(n2 = n6)) & (~(n2 = n7)) & (~(n2 = n8)) & (~(n2 = n9)) & (~(n2 = n10)) & (~(n2 = n11)) & (~(n2 = n12)) & (~(n2 = n13)) & (~(n2 = n14)) & (~(n2 = n15)) & (~(n3 = n4)) & (~(n3 = n5)) & (~(n3 = n6)) & (~(n3 = n7)) & (~(n3 = n8)) & (~(n3 = n9)) & (~(n3 = n10)) & (~(n3 = n11))) & (~(n3 = n12))) <