TSTP Solution File: SYN475+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN475+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 : Thu Sep 29 23:55:45 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN475+1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 04:14:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 % SZS output start Proof
% 0.19/0.48 tff(hskp1_type, type, (
% 0.19/0.48 hskp1: $o)).
% 0.19/0.48 tff(hskp0_type, type, (
% 0.19/0.48 hskp0: $o)).
% 0.19/0.48 tff(c2_1_type, type, (
% 0.19/0.48 c2_1: $i > $o)).
% 0.19/0.48 tff(a1000_type, type, (
% 0.19/0.48 a1000: $i)).
% 0.19/0.48 tff(c0_1_type, type, (
% 0.19/0.48 c0_1: $i > $o)).
% 0.19/0.48 tff(ndr1_0_type, type, (
% 0.19/0.48 ndr1_0: $o)).
% 0.19/0.48 tff(c3_1_type, type, (
% 0.19/0.48 c3_1: $i > $o)).
% 0.19/0.48 tff(c1_1_type, type, (
% 0.19/0.48 c1_1: $i > $o)).
% 0.19/0.48 tff(hskp23_type, type, (
% 0.19/0.48 hskp23: $o)).
% 0.19/0.48 tff(a1044_type, type, (
% 0.19/0.48 a1044: $i)).
% 0.19/0.48 tff(hskp17_type, type, (
% 0.19/0.48 hskp17: $o)).
% 0.19/0.48 tff(a1032_type, type, (
% 0.19/0.48 a1032: $i)).
% 0.19/0.48 tff(hskp3_type, type, (
% 0.19/0.48 hskp3: $o)).
% 0.19/0.48 tff(a1003_type, type, (
% 0.19/0.48 a1003: $i)).
% 0.19/0.48 tff(a1004_type, type, (
% 0.19/0.48 a1004: $i)).
% 0.19/0.48 tff(hskp4_type, type, (
% 0.19/0.48 hskp4: $o)).
% 0.19/0.48 tff(a1010_type, type, (
% 0.19/0.48 a1010: $i)).
% 0.19/0.48 tff(hskp8_type, type, (
% 0.19/0.48 hskp8: $o)).
% 0.19/0.48 tff(hskp27_type, type, (
% 0.19/0.48 hskp27: $o)).
% 0.19/0.48 tff(hskp7_type, type, (
% 0.19/0.48 hskp7: $o)).
% 0.19/0.48 tff(a1008_type, type, (
% 0.19/0.48 a1008: $i)).
% 0.19/0.48 tff(a1040_type, type, (
% 0.19/0.48 a1040: $i)).
% 0.19/0.48 tff(hskp26_type, type, (
% 0.19/0.48 hskp26: $o)).
% 0.19/0.48 tff(a1052_type, type, (
% 0.19/0.48 a1052: $i)).
% 0.19/0.48 tff(hskp6_type, type, (
% 0.19/0.48 hskp6: $o)).
% 0.19/0.48 tff(a1006_type, type, (
% 0.19/0.48 a1006: $i)).
% 0.19/0.48 tff(hskp25_type, type, (
% 0.19/0.48 hskp25: $o)).
% 0.19/0.48 tff(hskp24_type, type, (
% 0.19/0.48 hskp24: $o)).
% 0.19/0.48 tff(hskp19_type, type, (
% 0.19/0.48 hskp19: $o)).
% 0.19/0.48 tff(hskp21_type, type, (
% 0.19/0.48 hskp21: $o)).
% 0.19/0.48 tff(hskp22_type, type, (
% 0.19/0.48 hskp22: $o)).
% 0.19/0.48 tff(hskp14_type, type, (
% 0.19/0.48 hskp14: $o)).
% 0.19/0.48 tff(hskp12_type, type, (
% 0.19/0.48 hskp12: $o)).
% 0.19/0.48 tff(hskp20_type, type, (
% 0.19/0.48 hskp20: $o)).
% 0.19/0.48 tff(hskp18_type, type, (
% 0.19/0.48 hskp18: $o)).
% 0.19/0.48 tff(hskp29_type, type, (
% 0.19/0.48 hskp29: $o)).
% 0.19/0.48 tff(hskp5_type, type, (
% 0.19/0.48 hskp5: $o)).
% 0.19/0.48 tff(hskp13_type, type, (
% 0.19/0.48 hskp13: $o)).
% 0.19/0.48 tff(hskp9_type, type, (
% 0.19/0.48 hskp9: $o)).
% 0.19/0.48 tff(hskp15_type, type, (
% 0.19/0.48 hskp15: $o)).
% 0.19/0.48 tff(hskp10_type, type, (
% 0.19/0.48 hskp10: $o)).
% 0.19/0.48 tff(hskp28_type, type, (
% 0.19/0.48 hskp28: $o)).
% 0.19/0.48 tff(hskp16_type, type, (
% 0.19/0.48 hskp16: $o)).
% 0.19/0.48 tff(hskp2_type, type, (
% 0.19/0.48 hskp2: $o)).
% 0.19/0.48 tff(hskp11_type, type, (
% 0.19/0.48 hskp11: $o)).
% 0.19/0.48 tff(a1033_type, type, (
% 0.19/0.48 a1033: $i)).
% 0.19/0.48 tff(a1029_type, type, (
% 0.19/0.48 a1029: $i)).
% 0.19/0.48 tff(a1048_type, type, (
% 0.19/0.48 a1048: $i)).
% 0.19/0.48 tff(a1045_type, type, (
% 0.19/0.48 a1045: $i)).
% 0.19/0.48 tff(a1043_type, type, (
% 0.19/0.48 a1043: $i)).
% 0.19/0.48 tff(a1041_type, type, (
% 0.19/0.48 a1041: $i)).
% 0.19/0.48 tff(a1038_type, type, (
% 0.19/0.48 a1038: $i)).
% 0.19/0.48 tff(a1037_type, type, (
% 0.19/0.48 a1037: $i)).
% 0.19/0.48 tff(a1036_type, type, (
% 0.19/0.48 a1036: $i)).
% 0.19/0.48 tff(a1030_type, type, (
% 0.19/0.48 a1030: $i)).
% 0.19/0.48 tff(a1026_type, type, (
% 0.19/0.48 a1026: $i)).
% 0.19/0.48 tff(a1025_type, type, (
% 0.19/0.48 a1025: $i)).
% 0.19/0.48 tff(a1023_type, type, (
% 0.19/0.48 a1023: $i)).
% 0.19/0.48 tff(a1019_type, type, (
% 0.19/0.48 a1019: $i)).
% 0.19/0.48 tff(a1015_type, type, (
% 0.19/0.48 a1015: $i)).
% 0.19/0.48 tff(a1012_type, type, (
% 0.19/0.48 a1012: $i)).
% 0.19/0.48 tff(a1011_type, type, (
% 0.19/0.48 a1011: $i)).
% 0.19/0.48 tff(a1005_type, type, (
% 0.19/0.48 a1005: $i)).
% 0.19/0.48 tff(a1002_type, type, (
% 0.19/0.48 a1002: $i)).
% 0.19/0.48 tff(a1001_type, type, (
% 0.19/0.48 a1001: $i)).
% 0.19/0.48 tff(1,assumption,(~![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.48 tff(2,assumption,(~![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.48 tff(3,assumption,(~![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.48 tff(4,assumption,(~hskp4), introduced(assumption)).
% 0.19/0.48 tff(5,plain,
% 0.19/0.48 ((hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) <=> (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(6,plain,
% 0.19/0.48 ((hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) <=> (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(7,plain,
% 0.19/0.48 ((~(~(((~hskp0) | (ndr1_0 & c0_1(a1000) & c2_1(a1000) & (~c3_1(a1000)))) & ((~hskp1) | (ndr1_0 & c2_1(a1001) & c3_1(a1001) & (~c1_1(a1001)))) & ((~hskp2) | (ndr1_0 & c0_1(a1002) & c2_1(a1002) & (~c1_1(a1002)))) & ((~hskp3) | (ndr1_0 & c1_1(a1003) & (~c0_1(a1003)) & (~c2_1(a1003)))) & ((~hskp4) | (ndr1_0 & c1_1(a1004) & c2_1(a1004) & (~c3_1(a1004)))) & ((~hskp5) | (ndr1_0 & (~c1_1(a1005)) & (~c2_1(a1005)) & (~c3_1(a1005)))) & ((~hskp6) | (ndr1_0 & c0_1(a1006) & c3_1(a1006) & (~c2_1(a1006)))) & ((~hskp7) | (ndr1_0 & c2_1(a1008) & (~c1_1(a1008)) & (~c3_1(a1008)))) & ((~hskp8) | (ndr1_0 & c0_1(a1010) & c3_1(a1010) & (~c1_1(a1010)))) & ((~hskp9) | (ndr1_0 & c0_1(a1011) & c1_1(a1011) & (~c2_1(a1011)))) & ((~hskp10) | (ndr1_0 & c0_1(a1012) & (~c1_1(a1012)) & (~c3_1(a1012)))) & ((~hskp11) | (ndr1_0 & c3_1(a1015) & (~c0_1(a1015)) & (~c1_1(a1015)))) & ((~hskp12) | (ndr1_0 & c1_1(a1019) & c2_1(a1019) & (~c0_1(a1019)))) & ((~hskp13) | (ndr1_0 & c3_1(a1023) & (~c1_1(a1023)) & (~c2_1(a1023)))) & ((~hskp14) | (ndr1_0 & c0_1(a1025) & (~c2_1(a1025)) & (~c3_1(a1025)))) & ((~hskp15) | (ndr1_0 & c2_1(a1026) & (~c0_1(a1026)) & (~c1_1(a1026)))) & ((~hskp16) | (ndr1_0 & c1_1(a1030) & (~c2_1(a1030)) & (~c3_1(a1030)))) & ((~hskp17) | (ndr1_0 & c2_1(a1032) & c3_1(a1032) & (~c0_1(a1032)))) & ((~hskp18) | (ndr1_0 & c1_1(a1036) & c3_1(a1036) & (~c2_1(a1036)))) & ((~hskp19) | (ndr1_0 & (~c0_1(a1037)) & (~c1_1(a1037)) & (~c3_1(a1037)))) & ((~hskp20) | (ndr1_0 & (~c0_1(a1038)) & (~c1_1(a1038)) & (~c2_1(a1038)))) & ((~hskp21) | (ndr1_0 & c2_1(a1041) & (~c0_1(a1041)) & (~c3_1(a1041)))) & ((~hskp22) | (ndr1_0 & c0_1(a1043) & (~c1_1(a1043)) & (~c2_1(a1043)))) & ((~hskp23) | (ndr1_0 & c0_1(a1044) & c1_1(a1044) & (~c3_1(a1044)))) & ((~hskp24) | (ndr1_0 & c1_1(a1045) & c3_1(a1045) & (~c0_1(a1045)))) & ((~hskp25) | (ndr1_0 & c1_1(a1048) & (~c0_1(a1048)) & (~c3_1(a1048)))) & ((~hskp26) | (ndr1_0 & c3_1(a1052) & (~c0_1(a1052)) & (~c2_1(a1052)))) & ((~hskp27) | (ndr1_0 & c0_1(a1029) & c2_1(a1029) & c3_1(a1029))) & ((~hskp28) | (ndr1_0 & c0_1(a1033) & c1_1(a1033) & c2_1(a1033))) & ((~hskp29) | (ndr1_0 & c0_1(a1040) & c1_1(a1040) & c3_1(a1040))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp2 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c1_1(Z) | c3_1(Z) | (~ndr1_0))) & (![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c1_1(X2) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0)) | ![X3: $i] : (c2_1(X3) | (~c0_1(X3)) | (~c1_1(X3)) | (~ndr1_0))) & (hskp3 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c2_1(X4)) | (~ndr1_0)) | ![X5: $i] : (c2_1(X5) | c3_1(X5) | (~c1_1(X5)) | (~ndr1_0))) & (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) & (![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0))) & (hskp5 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0)) | ![X12: $i] : ((~c2_1(X12)) | (~c0_1(X12)) | (~c1_1(X12)) | (~ndr1_0))) & (![X13: $i] : (c2_1(X13) | c0_1(X13) | c3_1(X13) | (~ndr1_0)) | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0))) & (hskp6 | ![X16: $i] : (c2_1(X16) | c0_1(X16) | c3_1(X16) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c3_1(X17)) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | c3_1(X20) | (~c0_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | (~c2_1(X19)) | c3_1(X19) | (~ndr1_0))) & (hskp0 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c0_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp7 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c1_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp4 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c1_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c0_1(X26)) | (~ndr1_0))) & (hskp8 | ![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c1_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c1_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0))) & (hskp9 | hskp10 | ![X29: $i] : (c2_1(X29) | c0_1(X29) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp8 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c1_1(X30)) | (~ndr1_0))) & (hskp11 | ![X31: $i] : (c0_1(X31) | c3_1(X31) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0))) & (![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c2_1(X34) | c1_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c2_1(X35)) | (~c3_1(X35)) | (~c1_1(X35)) | (~ndr1_0))) & (hskp7 | ![X36: $i] : (c0_1(X36) | c3_1(X36) | (~c1_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c1_1(X37) | (~c2_1(X37)) | c3_1(X37) | (~ndr1_0))) & (![X38: $i] : (c0_1(X38) | c3_1(X38) | (~c1_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c3_1(X39)) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : ((~c2_1(X40)) | c3_1(X40) | (~c0_1(X40)) | (~ndr1_0))) & (hskp6 | ![X41: $i] : (c0_1(X41) | c3_1(X41) | (~c1_1(X41)) | (~ndr1_0)) | ![X42: $i] : ((~c2_1(X42)) | (~c3_1(X42)) | (~c0_1(X42)) | (~ndr1_0))) & (hskp6 | hskp12 | ![X43: $i] : (c0_1(X43) | c3_1(X43) | (~c1_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c0_1(X44) | (~c2_1(X44)) | c3_1(X44) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | c3_1(X46) | (~c0_1(X46)) | (~ndr1_0)) | ![X45: $i] : (c1_1(X45) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp11 | ![X47: $i] : (c0_1(X47) | (~c2_1(X47)) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c1_1(X48) | (~c3_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X49: $i] : (c0_1(X49) | (~c2_1(X49)) | c3_1(X49) | (~ndr1_0))) & (hskp13 | ![X50: $i] : (c0_1(X50) | (~c2_1(X50)) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (hskp8 | ![X52: $i] : (c0_1(X52) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c3_1(X53)) | (~ndr1_0))) & (hskp14 | ![X54: $i] : (c0_1(X54) | (~c2_1(X54)) | (~c1_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (![X56: $i] : (c0_1(X56) | (~c3_1(X56)) | (~c1_1(X56)) | (~ndr1_0)) | ![X58: $i] : ((~c2_1(X58)) | (~c3_1(X58)) | (~c1_1(X58)) | (~ndr1_0)) | ![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp15 | ![X59: $i] : (c0_1(X59) | (~c3_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c0_1(X60)) | (~ndr1_0))) & (hskp9 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c3_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp13 | ![X63: $i] : (c2_1(X63) | c1_1(X63) | c3_1(X63) | (~ndr1_0)) | ![X64: $i] : (c1_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp27 | ![X65: $i] : (c2_1(X65) | c1_1(X65) | c3_1(X65) | (~ndr1_0)) | ![X66: $i] : (c1_1(X66) | (~c2_1(X66)) | (~c0_1(X66)) | (~ndr1_0))) & (hskp16 | ![X67: $i] : (c2_1(X67) | c1_1(X67) | c3_1(X67) | (~ndr1_0)) | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c1_1(X68)) | (~ndr1_0))) & (hskp12 | ![X69: $i] : (c2_1(X69) | c1_1(X69) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c0_1(X70)) | (~ndr1_0))) & (hskp17 | ![X71: $i] : (c2_1(X71) | c1_1(X71) | c3_1(X71) | (~ndr1_0)) | ![X72: $i] : (c3_1(X72) | (~c0_1(X72)) | (~c1_1(X72)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X73: $i] : (c2_1(X73) | c1_1(X73) | (~c3_1(X73)) | (~ndr1_0))) & (hskp10 | hskp18 | ![X74: $i] : (c2_1(X74) | c1_1(X74) | (~c3_1(X74)) | (~ndr1_0))) & (hskp19 | ![X75: $i] : (c1_1(X75) | c3_1(X75) | (~c0_1(X75)) | (~ndr1_0)) | ![X76: $i] : (c1_1(X76) | (~c2_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp20 | ![X77: $i] : (c1_1(X77) | c3_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c2_1(X78) | c3_1(X78) | (~c0_1(X78)) | (~ndr1_0))) & (hskp10 | ![X79: $i] : (c1_1(X79) | c3_1(X79) | (~c0_1(X79)) | (~ndr1_0)) | ![X80: $i] : ((~c2_1(X80)) | c3_1(X80) | (~c1_1(X80)) | (~ndr1_0))) & (hskp21 | hskp29 | ![X81: $i] : (c1_1(X81) | c3_1(X81) | (~c0_1(X81)) | (~ndr1_0))) & (hskp6 | ![X82: $i] : (c1_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0)) | ![X83: $i] : (c1_1(X83) | (~c2_1(X83)) | (~c3_1(X83)) | (~ndr1_0))) & (hskp22 | ![X84: $i] : (c1_1(X84) | (~c3_1(X84)) | (~c0_1(X84)) | (~ndr1_0)) | ![X85: $i] : (c2_1(X85) | c3_1(X85) | (~c1_1(X85)) | (~ndr1_0))) & (![X86: $i] : (c1_1(X86) | (~c3_1(X86)) | (~c0_1(X86)) | (~ndr1_0)) | ![X87: $i] : (c2_1(X87) | (~c0_1(X87)) | (~c1_1(X87)) | (~ndr1_0)) | ![X88: $i] : ((~c2_1(X88)) | (~c3_1(X88)) | (~c1_1(X88)) | (~ndr1_0))) & (hskp23 | ![X89: $i] : (c1_1(X89) | (~c3_1(X89)) | (~c0_1(X89)) | (~ndr1_0))) & (hskp15 | hskp24 | ![X90: $i] : (c1_1(X90) | (~c3_1(X90)) | (~c0_1(X90)) | (~ndr1_0))) & (![X91: $i] : (c1_1(X91) | (~c2_1(X91)) | (~c3_1(X91)) | (~ndr1_0)) | ![X92: $i] : (c2_1(X92) | (~c3_1(X92)) | (~c0_1(X92)) | (~ndr1_0)) | ![X93: $i] : ((~c2_1(X93)) | c3_1(X93) | (~c1_1(X93)) | (~ndr1_0))) & (hskp3 | hskp25 | ![X94: $i] : (c2_1(X94) | c3_1(X94) | (~c0_1(X94)) | (~ndr1_0))) & (hskp15 | ![X95: $i] : (c2_1(X95) | c3_1(X95) | (~c1_1(X95)) | (~ndr1_0)) | ![X96: $i] : ((~c2_1(X96)) | c3_1(X96) | (~c0_1(X96)) | (~ndr1_0))) & (hskp6 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | (~c1_1(X97)) | (~ndr1_0)) | ![X98: $i] : ((~c2_1(X98)) | (~c3_1(X98)) | (~c0_1(X98)) | (~ndr1_0))) & (hskp8 | hskp26 | ![X99: $i] : (c2_1(X99) | (~c0_1(X99)) | (~c1_1(X99)) | (~ndr1_0))) & (hskp6 | hskp13 | ![X100: $i] : (c2_1(X100) | (~c0_1(X100)) | (~c1_1(X100)) | (~ndr1_0))) & (hskp3 | hskp23 | ![X101: $i] : (c2_1(X101) | (~c3_1(X101)) | (~c0_1(X101)) | (~ndr1_0))) & (hskp6 | hskp22 | ![X102: $i] : (c2_1(X102) | (~c3_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp4 | hskp19 | ![X103: $i] : (c3_1(X103) | (~c0_1(X103)) | (~c1_1(X103)) | (~ndr1_0))) & (hskp17 | ![X104: $i] : ((~c2_1(X104)) | c3_1(X104) | (~c0_1(X104)) | (~ndr1_0)) | ![X105: $i] : ((~c2_1(X105)) | (~c0_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp4 | hskp23 | ![X106: $i] : ((~c2_1(X106)) | c3_1(X106) | (~c1_1(X106)) | (~ndr1_0))) & (hskp9 | hskp12 | ![X107: $i] : ((~c2_1(X107)) | (~c0_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp7 | ![X108: $i] : ((~c2_1(X108)) | (~c0_1(X108)) | (~c1_1(X108)) | (~ndr1_0))) & (hskp3 | hskp24 | ![X109: $i] : ((~c2_1(X109)) | (~c3_1(X109)) | (~c0_1(X109)) | (~ndr1_0))) & (hskp19 | hskp26 | ![X110: $i] : ((~c2_1(X110)) | (~c3_1(X110)) | (~c0_1(X110)) | (~ndr1_0))) & (hskp13 | hskp23 | hskp29) & (hskp5 | hskp12 | hskp29) & (hskp3 | hskp26 | hskp29) & (hskp18 | hskp20 | hskp23) & (hskp6 | hskp14 | hskp27) & (hskp7 | hskp26 | hskp27) & (hskp12 | hskp14 | hskp22) & (hskp4 | hskp7 | hskp21) & (hskp19 | hskp24 | hskp25)))) <=> (((~hskp0) | (ndr1_0 & c0_1(a1000) & c2_1(a1000) & (~c3_1(a1000)))) & ((~hskp1) | (ndr1_0 & c2_1(a1001) & c3_1(a1001) & (~c1_1(a1001)))) & ((~hskp2) | (ndr1_0 & c0_1(a1002) & c2_1(a1002) & (~c1_1(a1002)))) & ((~hskp3) | (ndr1_0 & c1_1(a1003) & (~c0_1(a1003)) & (~c2_1(a1003)))) & ((~hskp4) | (ndr1_0 & c1_1(a1004) & c2_1(a1004) & (~c3_1(a1004)))) & ((~hskp5) | (ndr1_0 & (~c1_1(a1005)) & (~c2_1(a1005)) & (~c3_1(a1005)))) & ((~hskp6) | (ndr1_0 & c0_1(a1006) & c3_1(a1006) & (~c2_1(a1006)))) & ((~hskp7) | (ndr1_0 & c2_1(a1008) & (~c1_1(a1008)) & (~c3_1(a1008)))) & ((~hskp8) | (ndr1_0 & c0_1(a1010) & c3_1(a1010) & (~c1_1(a1010)))) & ((~hskp9) | (ndr1_0 & c0_1(a1011) & c1_1(a1011) & (~c2_1(a1011)))) & ((~hskp10) | (ndr1_0 & c0_1(a1012) & (~c1_1(a1012)) & (~c3_1(a1012)))) & ((~hskp11) | (ndr1_0 & c3_1(a1015) & (~c0_1(a1015)) & (~c1_1(a1015)))) & ((~hskp12) | (ndr1_0 & c1_1(a1019) & c2_1(a1019) & (~c0_1(a1019)))) & ((~hskp13) | (ndr1_0 & c3_1(a1023) & (~c1_1(a1023)) & (~c2_1(a1023)))) & ((~hskp14) | (ndr1_0 & c0_1(a1025) & (~c2_1(a1025)) & (~c3_1(a1025)))) & ((~hskp15) | (ndr1_0 & c2_1(a1026) & (~c0_1(a1026)) & (~c1_1(a1026)))) & ((~hskp16) | (ndr1_0 & c1_1(a1030) & (~c2_1(a1030)) & (~c3_1(a1030)))) & ((~hskp17) | (ndr1_0 & c2_1(a1032) & c3_1(a1032) & (~c0_1(a1032)))) & ((~hskp18) | (ndr1_0 & c1_1(a1036) & c3_1(a1036) & (~c2_1(a1036)))) & ((~hskp19) | (ndr1_0 & (~c0_1(a1037)) & (~c1_1(a1037)) & (~c3_1(a1037)))) & ((~hskp20) | (ndr1_0 & (~c0_1(a1038)) & (~c1_1(a1038)) & (~c2_1(a1038)))) & ((~hskp21) | (ndr1_0 & c2_1(a1041) & (~c0_1(a1041)) & (~c3_1(a1041)))) & ((~hskp22) | (ndr1_0 & c0_1(a1043) & (~c1_1(a1043)) & (~c2_1(a1043)))) & ((~hskp23) | (ndr1_0 & c0_1(a1044) & c1_1(a1044) & (~c3_1(a1044)))) & ((~hskp24) | (ndr1_0 & c1_1(a1045) & c3_1(a1045) & (~c0_1(a1045)))) & ((~hskp25) | (ndr1_0 & c1_1(a1048) & (~c0_1(a1048)) & (~c3_1(a1048)))) & ((~hskp26) | (ndr1_0 & c3_1(a1052) & (~c0_1(a1052)) & (~c2_1(a1052)))) & ((~hskp27) | (ndr1_0 & c0_1(a1029) & c2_1(a1029) & c3_1(a1029))) & ((~hskp28) | (ndr1_0 & c0_1(a1033) & c1_1(a1033) & c2_1(a1033))) & ((~hskp29) | (ndr1_0 & c0_1(a1040) & c1_1(a1040) & c3_1(a1040))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp2 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c1_1(Z) | c3_1(Z) | (~ndr1_0))) & (![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c1_1(X2) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0)) | ![X3: $i] : (c2_1(X3) | (~c0_1(X3)) | (~c1_1(X3)) | (~ndr1_0))) & (hskp3 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c2_1(X4)) | (~ndr1_0)) | ![X5: $i] : (c2_1(X5) | c3_1(X5) | (~c1_1(X5)) | (~ndr1_0))) & (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) & (![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0))) & (hskp5 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0)) | ![X12: $i] : ((~c2_1(X12)) | (~c0_1(X12)) | (~c1_1(X12)) | (~ndr1_0))) & (![X13: $i] : (c2_1(X13) | c0_1(X13) | c3_1(X13) | (~ndr1_0)) | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0))) & (hskp6 | ![X16: $i] : (c2_1(X16) | c0_1(X16) | c3_1(X16) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c3_1(X17)) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | c3_1(X20) | (~c0_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | (~c2_1(X19)) | c3_1(X19) | (~ndr1_0))) & (hskp0 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c0_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp7 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c1_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp4 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c1_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c0_1(X26)) | (~ndr1_0))) & (hskp8 | ![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c1_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c1_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0))) & (hskp9 | hskp10 | ![X29: $i] : (c2_1(X29) | c0_1(X29) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp8 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c1_1(X30)) | (~ndr1_0))) & (hskp11 | ![X31: $i] : (c0_1(X31) | c3_1(X31) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0))) & (![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c2_1(X34) | c1_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c2_1(X35)) | (~c3_1(X35)) | (~c1_1(X35)) | (~ndr1_0))) & (hskp7 | ![X36: $i] : (c0_1(X36) | c3_1(X36) | (~c1_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c1_1(X37) | (~c2_1(X37)) | c3_1(X37) | (~ndr1_0))) & (![X38: $i] : (c0_1(X38) | c3_1(X38) | (~c1_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c3_1(X39)) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : ((~c2_1(X40)) | c3_1(X40) | (~c0_1(X40)) | (~ndr1_0))) & (hskp6 | ![X41: $i] : (c0_1(X41) | c3_1(X41) | (~c1_1(X41)) | (~ndr1_0)) | ![X42: $i] : ((~c2_1(X42)) | (~c3_1(X42)) | (~c0_1(X42)) | (~ndr1_0))) & (hskp6 | hskp12 | ![X43: $i] : (c0_1(X43) | c3_1(X43) | (~c1_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c0_1(X44) | (~c2_1(X44)) | c3_1(X44) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | c3_1(X46) | (~c0_1(X46)) | (~ndr1_0)) | ![X45: $i] : (c1_1(X45) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp11 | ![X47: $i] : (c0_1(X47) | (~c2_1(X47)) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c1_1(X48) | (~c3_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X49: $i] : (c0_1(X49) | (~c2_1(X49)) | c3_1(X49) | (~ndr1_0))) & (hskp13 | ![X50: $i] : (c0_1(X50) | (~c2_1(X50)) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (hskp8 | ![X52: $i] : (c0_1(X52) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c3_1(X53)) | (~ndr1_0))) & (hskp14 | ![X54: $i] : (c0_1(X54) | (~c2_1(X54)) | (~c1_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (![X56: $i] : (c0_1(X56) | (~c3_1(X56)) | (~c1_1(X56)) | (~ndr1_0)) | ![X58: $i] : ((~c2_1(X58)) | (~c3_1(X58)) | (~c1_1(X58)) | (~ndr1_0)) | ![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp15 | ![X59: $i] : (c0_1(X59) | (~c3_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c0_1(X60)) | (~ndr1_0))) & (hskp9 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c3_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp13 | ![X63: $i] : (c2_1(X63) | c1_1(X63) | c3_1(X63) | (~ndr1_0)) | ![X64: $i] : (c1_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp27 | ![X65: $i] : (c2_1(X65) | c1_1(X65) | c3_1(X65) | (~ndr1_0)) | ![X66: $i] : (c1_1(X66) | (~c2_1(X66)) | (~c0_1(X66)) | (~ndr1_0))) & (hskp16 | ![X67: $i] : (c2_1(X67) | c1_1(X67) | c3_1(X67) | (~ndr1_0)) | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c1_1(X68)) | (~ndr1_0))) & (hskp12 | ![X69: $i] : (c2_1(X69) | c1_1(X69) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c0_1(X70)) | (~ndr1_0))) & (hskp17 | ![X71: $i] : (c2_1(X71) | c1_1(X71) | c3_1(X71) | (~ndr1_0)) | ![X72: $i] : (c3_1(X72) | (~c0_1(X72)) | (~c1_1(X72)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X73: $i] : (c2_1(X73) | c1_1(X73) | (~c3_1(X73)) | (~ndr1_0))) & (hskp10 | hskp18 | ![X74: $i] : (c2_1(X74) | c1_1(X74) | (~c3_1(X74)) | (~ndr1_0))) & (hskp19 | ![X75: $i] : (c1_1(X75) | c3_1(X75) | (~c0_1(X75)) | (~ndr1_0)) | ![X76: $i] : (c1_1(X76) | (~c2_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp20 | ![X77: $i] : (c1_1(X77) | c3_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c2_1(X78) | c3_1(X78) | (~c0_1(X78)) | (~ndr1_0))) & (hskp10 | ![X79: $i] : (c1_1(X79) | c3_1(X79) | (~c0_1(X79)) | (~ndr1_0)) | ![X80: $i] : ((~c2_1(X80)) | c3_1(X80) | (~c1_1(X80)) | (~ndr1_0))) & (hskp21 | hskp29 | ![X81: $i] : (c1_1(X81) | c3_1(X81) | (~c0_1(X81)) | (~ndr1_0))) & (hskp6 | ![X82: $i] : (c1_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0)) | ![X83: $i] : (c1_1(X83) | (~c2_1(X83)) | (~c3_1(X83)) | (~ndr1_0))) & (hskp22 | ![X84: $i] : (c1_1(X84) | (~c3_1(X84)) | (~c0_1(X84)) | (~ndr1_0)) | ![X85: $i] : (c2_1(X85) | c3_1(X85) | (~c1_1(X85)) | (~ndr1_0))) & (![X86: $i] : (c1_1(X86) | (~c3_1(X86)) | (~c0_1(X86)) | (~ndr1_0)) | ![X87: $i] : (c2_1(X87) | (~c0_1(X87)) | (~c1_1(X87)) | (~ndr1_0)) | ![X88: $i] : ((~c2_1(X88)) | (~c3_1(X88)) | (~c1_1(X88)) | (~ndr1_0))) & (hskp23 | ![X89: $i] : (c1_1(X89) | (~c3_1(X89)) | (~c0_1(X89)) | (~ndr1_0))) & (hskp15 | hskp24 | ![X90: $i] : (c1_1(X90) | (~c3_1(X90)) | (~c0_1(X90)) | (~ndr1_0))) & (![X91: $i] : (c1_1(X91) | (~c2_1(X91)) | (~c3_1(X91)) | (~ndr1_0)) | ![X92: $i] : (c2_1(X92) | (~c3_1(X92)) | (~c0_1(X92)) | (~ndr1_0)) | ![X93: $i] : ((~c2_1(X93)) | c3_1(X93) | (~c1_1(X93)) | (~ndr1_0))) & (hskp3 | hskp25 | ![X94: $i] : (c2_1(X94) | c3_1(X94) | (~c0_1(X94)) | (~ndr1_0))) & (hskp15 | ![X95: $i] : (c2_1(X95) | c3_1(X95) | (~c1_1(X95)) | (~ndr1_0)) | ![X96: $i] : ((~c2_1(X96)) | c3_1(X96) | (~c0_1(X96)) | (~ndr1_0))) & (hskp6 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | (~c1_1(X97)) | (~ndr1_0)) | ![X98: $i] : ((~c2_1(X98)) | (~c3_1(X98)) | (~c0_1(X98)) | (~ndr1_0))) & (hskp8 | hskp26 | ![X99: $i] : (c2_1(X99) | (~c0_1(X99)) | (~c1_1(X99)) | (~ndr1_0))) & (hskp6 | hskp13 | ![X100: $i] : (c2_1(X100) | (~c0_1(X100)) | (~c1_1(X100)) | (~ndr1_0))) & (hskp3 | hskp23 | ![X101: $i] : (c2_1(X101) | (~c3_1(X101)) | (~c0_1(X101)) | (~ndr1_0))) & (hskp6 | hskp22 | ![X102: $i] : (c2_1(X102) | (~c3_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp4 | hskp19 | ![X103: $i] : (c3_1(X103) | (~c0_1(X103)) | (~c1_1(X103)) | (~ndr1_0))) & (hskp17 | ![X104: $i] : ((~c2_1(X104)) | c3_1(X104) | (~c0_1(X104)) | (~ndr1_0)) | ![X105: $i] : ((~c2_1(X105)) | (~c0_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp4 | hskp23 | ![X106: $i] : ((~c2_1(X106)) | c3_1(X106) | (~c1_1(X106)) | (~ndr1_0))) & (hskp9 | hskp12 | ![X107: $i] : ((~c2_1(X107)) | (~c0_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp7 | ![X108: $i] : ((~c2_1(X108)) | (~c0_1(X108)) | (~c1_1(X108)) | (~ndr1_0))) & (hskp3 | hskp24 | ![X109: $i] : ((~c2_1(X109)) | (~c3_1(X109)) | (~c0_1(X109)) | (~ndr1_0))) & (hskp19 | hskp26 | ![X110: $i] : ((~c2_1(X110)) | (~c3_1(X110)) | (~c0_1(X110)) | (~ndr1_0))) & (hskp13 | hskp23 | hskp29) & (hskp5 | hskp12 | hskp29) & (hskp3 | hskp26 | hskp29) & (hskp18 | hskp20 | hskp23) & (hskp6 | hskp14 | hskp27) & (hskp7 | hskp26 | hskp27) & (hskp12 | hskp14 | hskp22) & (hskp4 | hskp7 | hskp21) & (hskp19 | hskp24 | hskp25))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(8,plain,
% 0.19/0.49 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c0_1(a1000)) & c2_1(a1000)) & (~c3_1(a1000)))) & ((~hskp1) | (((ndr1_0 & c2_1(a1001)) & c3_1(a1001)) & (~c1_1(a1001))))) & ((~hskp2) | (((ndr1_0 & c0_1(a1002)) & c2_1(a1002)) & (~c1_1(a1002))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1003)) & (~c0_1(a1003))) & (~c2_1(a1003))))) & ((~hskp4) | (((ndr1_0 & c1_1(a1004)) & c2_1(a1004)) & (~c3_1(a1004))))) & ((~hskp5) | (((ndr1_0 & (~c1_1(a1005))) & (~c2_1(a1005))) & (~c3_1(a1005))))) & ((~hskp6) | (((ndr1_0 & c0_1(a1006)) & c3_1(a1006)) & (~c2_1(a1006))))) & ((~hskp7) | (((ndr1_0 & c2_1(a1008)) & (~c1_1(a1008))) & (~c3_1(a1008))))) & ((~hskp8) | (((ndr1_0 & c0_1(a1010)) & c3_1(a1010)) & (~c1_1(a1010))))) & ((~hskp9) | (((ndr1_0 & c0_1(a1011)) & c1_1(a1011)) & (~c2_1(a1011))))) & ((~hskp10) | (((ndr1_0 & c0_1(a1012)) & (~c1_1(a1012))) & (~c3_1(a1012))))) & ((~hskp11) | (((ndr1_0 & c3_1(a1015)) & (~c0_1(a1015))) & (~c1_1(a1015))))) & ((~hskp12) | (((ndr1_0 & c1_1(a1019)) & c2_1(a1019)) & (~c0_1(a1019))))) & ((~hskp13) | (((ndr1_0 & c3_1(a1023)) & (~c1_1(a1023))) & (~c2_1(a1023))))) & ((~hskp14) | (((ndr1_0 & c0_1(a1025)) & (~c2_1(a1025))) & (~c3_1(a1025))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1026)) & (~c0_1(a1026))) & (~c1_1(a1026))))) & ((~hskp16) | (((ndr1_0 & c1_1(a1030)) & (~c2_1(a1030))) & (~c3_1(a1030))))) & ((~hskp17) | (((ndr1_0 & c2_1(a1032)) & c3_1(a1032)) & (~c0_1(a1032))))) & ((~hskp18) | (((ndr1_0 & c1_1(a1036)) & c3_1(a1036)) & (~c2_1(a1036))))) & ((~hskp19) | (((ndr1_0 & (~c0_1(a1037))) & (~c1_1(a1037))) & (~c3_1(a1037))))) & ((~hskp20) | (((ndr1_0 & (~c0_1(a1038))) & (~c1_1(a1038))) & (~c2_1(a1038))))) & ((~hskp21) | (((ndr1_0 & c2_1(a1041)) & (~c0_1(a1041))) & (~c3_1(a1041))))) & ((~hskp22) | (((ndr1_0 & c0_1(a1043)) & (~c1_1(a1043))) & (~c2_1(a1043))))) & ((~hskp23) | (((ndr1_0 & c0_1(a1044)) & c1_1(a1044)) & (~c3_1(a1044))))) & ((~hskp24) | (((ndr1_0 & c1_1(a1045)) & c3_1(a1045)) & (~c0_1(a1045))))) & ((~hskp25) | (((ndr1_0 & c1_1(a1048)) & (~c0_1(a1048))) & (~c3_1(a1048))))) & ((~hskp26) | (((ndr1_0 & c3_1(a1052)) & (~c0_1(a1052))) & (~c2_1(a1052))))) & ((~hskp27) | (((ndr1_0 & c0_1(a1029)) & c2_1(a1029)) & c3_1(a1029)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1033)) & c1_1(a1033)) & c2_1(a1033)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1040)) & c1_1(a1040)) & c3_1(a1040)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp0) | hskp1)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c2_1(Z)) | c3_1(Z)))) | hskp2)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => ((c1_1(X2) | (~c0_1(X2))) | (~c2_1(X2))))) | ![X3: $i] : (ndr1_0 => ((c2_1(X3) | (~c0_1(X3))) | (~c1_1(X3)))))) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c2_1(X4)))) | ![X5: $i] : (ndr1_0 => ((c2_1(X5) | c3_1(X5)) | (~c1_1(X5))))) | hskp3)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | (~c0_1(X7))) | (~c3_1(X7))))) | hskp4)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9))))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c2_1(X10)))))) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | ![X12: $i] : (ndr1_0 => (((~c0_1(X12)) | (~c1_1(X12))) | (~c2_1(X12))))) | hskp5)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c2_1(X13)) | c3_1(X13))) | ![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14))))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15))))) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | c3_1(X16))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp6)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c2_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | c3_1(X20)) | (~c0_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c0_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp0)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c1_1(X24) | c2_1(X24)) | (~c3_1(X24))))) | hskp7)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c1_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c0_1(X26))))) | hskp4)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c1_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c1_1(X28) | c3_1(X28)) | (~c2_1(X28))))) | hskp8)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | c2_1(X29)) | (~c1_1(X29)))) | hskp9) | hskp10)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c1_1(X30)))) | hskp8) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | c3_1(X31)) | (~c1_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32))))) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c1_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c2_1(X34)) | (~c3_1(X34))))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35)))))) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | c3_1(X36)) | (~c1_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c1_1(X37) | c3_1(X37)) | (~c2_1(X37))))) | hskp7)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | c3_1(X38)) | (~c1_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c3_1(X39))))) | ![X40: $i] : (ndr1_0 => ((c3_1(X40) | (~c0_1(X40))) | (~c2_1(X40)))))) & ((![X41: $i] : (ndr1_0 => ((c0_1(X41) | c3_1(X41)) | (~c1_1(X41)))) | ![X42: $i] : (ndr1_0 => (((~c0_1(X42)) | (~c2_1(X42))) | (~c3_1(X42))))) | hskp6)) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | c3_1(X43)) | (~c1_1(X43)))) | hskp6) | hskp12)) & ((![X44: $i] : (ndr1_0 => ((c0_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c1_1(X45) | (~c0_1(X45))) | (~c2_1(X45))))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | c3_1(X46)) | (~c0_1(X46)))))) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | (~c0_1(X48))) | (~c3_1(X48))))) | hskp11)) & ((![X49: $i] : (ndr1_0 => ((c0_1(X49) | c3_1(X49)) | (~c2_1(X49)))) | hskp2) | hskp1)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | (~c1_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51))))) | hskp13)) & ((![X52: $i] : (ndr1_0 => ((c0_1(X52) | (~c1_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c2_1(X53))) | (~c3_1(X53))))) | hskp8)) & ((![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c2_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c0_1(X55))) | (~c3_1(X55))))) | hskp14)) & ((![X56: $i] : (ndr1_0 => ((c0_1(X56) | (~c1_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => ((c0_1(X57) | (~c2_1(X57))) | (~c3_1(X57))))) | ![X58: $i] : (ndr1_0 => (((~c1_1(X58)) | (~c2_1(X58))) | (~c3_1(X58)))))) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c3_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60))))) | hskp15)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c1_1(X62))))) | hskp9)) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | c2_1(X63)) | c3_1(X63))) | ![X64: $i] : (ndr1_0 => ((c1_1(X64) | c3_1(X64)) | (~c0_1(X64))))) | hskp13)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | c2_1(X65)) | c3_1(X65))) | ![X66: $i] : (ndr1_0 => ((c1_1(X66) | (~c0_1(X66))) | (~c2_1(X66))))) | hskp27)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | c2_1(X67)) | c3_1(X67))) | ![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c1_1(X68))))) | hskp16)) & ((![X69: $i] : (ndr1_0 => ((c1_1(X69) | c2_1(X69)) | c3_1(X69))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c3_1(X70))))) | hskp12)) & ((![X71: $i] : (ndr1_0 => ((c1_1(X71) | c2_1(X71)) | c3_1(X71))) | ![X72: $i] : (ndr1_0 => ((c3_1(X72) | (~c0_1(X72))) | (~c1_1(X72))))) | hskp17)) & ((![X73: $i] : (ndr1_0 => ((c1_1(X73) | c2_1(X73)) | (~c3_1(X73)))) | hskp28) | hskp8)) & ((![X74: $i] : (ndr1_0 => ((c1_1(X74) | c2_1(X74)) | (~c3_1(X74)))) | hskp10) | hskp18)) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c3_1(X75)) | (~c0_1(X75)))) | ![X76: $i] : (ndr1_0 => ((c1_1(X76) | (~c0_1(X76))) | (~c2_1(X76))))) | hskp19)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c3_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c2_1(X78) | c3_1(X78)) | (~c0_1(X78))))) | hskp20)) & ((![X79: $i] : (ndr1_0 => ((c1_1(X79) | c3_1(X79)) | (~c0_1(X79)))) | ![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c1_1(X80))) | (~c2_1(X80))))) | hskp10)) & ((![X81: $i] : (ndr1_0 => ((c1_1(X81) | c3_1(X81)) | (~c0_1(X81)))) | hskp29) | hskp21)) & ((![X82: $i] : (ndr1_0 => ((c1_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | ![X83: $i] : (ndr1_0 => ((c1_1(X83) | (~c2_1(X83))) | (~c3_1(X83))))) | hskp6)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | (~c0_1(X84))) | (~c3_1(X84)))) | ![X85: $i] : (ndr1_0 => ((c2_1(X85) | c3_1(X85)) | (~c1_1(X85))))) | hskp22)) & ((![X86: $i] : (ndr1_0 => ((c1_1(X86) | (~c0_1(X86))) | (~c3_1(X86)))) | ![X87: $i] : (ndr1_0 => ((c2_1(X87) | (~c0_1(X87))) | (~c1_1(X87))))) | ![X88: $i] : (ndr1_0 => (((~c1_1(X88)) | (~c2_1(X88))) | (~c3_1(X88)))))) & (![X89: $i] : (ndr1_0 => ((c1_1(X89) | (~c0_1(X89))) | (~c3_1(X89)))) | hskp23)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | (~c0_1(X90))) | (~c3_1(X90)))) | hskp24) | hskp15)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c2_1(X91))) | (~c3_1(X91)))) | ![X92: $i] : (ndr1_0 => ((c2_1(X92) | (~c0_1(X92))) | (~c3_1(X92))))) | ![X93: $i] : (ndr1_0 => ((c3_1(X93) | (~c1_1(X93))) | (~c2_1(X93)))))) & ((![X94: $i] : (ndr1_0 => ((c2_1(X94) | c3_1(X94)) | (~c0_1(X94)))) | hskp3) | hskp25)) & ((![X95: $i] : (ndr1_0 => ((c2_1(X95) | c3_1(X95)) | (~c1_1(X95)))) | ![X96: $i] : (ndr1_0 => ((c3_1(X96) | (~c0_1(X96))) | (~c2_1(X96))))) | hskp15)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | (~c0_1(X97))) | (~c1_1(X97)))) | ![X98: $i] : (ndr1_0 => (((~c0_1(X98)) | (~c2_1(X98))) | (~c3_1(X98))))) | hskp6)) & ((![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c0_1(X99))) | (~c1_1(X99)))) | hskp8) | hskp26)) & ((![X100: $i] : (ndr1_0 => ((c2_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))) | hskp6) | hskp13)) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c3_1(X101)))) | hskp23) | hskp3)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c1_1(X102))) | (~c3_1(X102)))) | hskp6) | hskp22)) & ((![X103: $i] : (ndr1_0 => ((c3_1(X103) | (~c0_1(X103))) | (~c1_1(X103)))) | hskp4) | hskp19)) & ((![X104: $i] : (ndr1_0 => ((c3_1(X104) | (~c0_1(X104))) | (~c2_1(X104)))) | ![X105: $i] : (ndr1_0 => (((~c0_1(X105)) | (~c1_1(X105))) | (~c2_1(X105))))) | hskp17)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c1_1(X106))) | (~c2_1(X106)))) | hskp23) | hskp4)) & ((![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c2_1(X107)))) | hskp9) | hskp12)) & (![X108: $i] : (ndr1_0 => (((~c0_1(X108)) | (~c1_1(X108))) | (~c2_1(X108)))) | hskp7)) & ((![X109: $i] : (ndr1_0 => (((~c0_1(X109)) | (~c2_1(X109))) | (~c3_1(X109)))) | hskp24) | hskp3)) & ((![X110: $i] : (ndr1_0 => (((~c0_1(X110)) | (~c2_1(X110))) | (~c3_1(X110)))) | hskp26) | hskp19)) & ((hskp29 | hskp23) | hskp13)) & ((hskp29 | hskp12) | hskp5)) & ((hskp29 | hskp3) | hskp26)) & ((hskp23 | hskp18) | hskp20)) & ((hskp27 | hskp6) | hskp14)) & ((hskp27 | hskp7) | hskp26)) & ((hskp22 | hskp14) | hskp12)) & ((hskp4 | hskp21) | hskp7)) & ((hskp24 | hskp25) | hskp19))) <=> (~(((~hskp0) | (ndr1_0 & c0_1(a1000) & c2_1(a1000) & (~c3_1(a1000)))) & ((~hskp1) | (ndr1_0 & c2_1(a1001) & c3_1(a1001) & (~c1_1(a1001)))) & ((~hskp2) | (ndr1_0 & c0_1(a1002) & c2_1(a1002) & (~c1_1(a1002)))) & ((~hskp3) | (ndr1_0 & c1_1(a1003) & (~c0_1(a1003)) & (~c2_1(a1003)))) & ((~hskp4) | (ndr1_0 & c1_1(a1004) & c2_1(a1004) & (~c3_1(a1004)))) & ((~hskp5) | (ndr1_0 & (~c1_1(a1005)) & (~c2_1(a1005)) & (~c3_1(a1005)))) & ((~hskp6) | (ndr1_0 & c0_1(a1006) & c3_1(a1006) & (~c2_1(a1006)))) & ((~hskp7) | (ndr1_0 & c2_1(a1008) & (~c1_1(a1008)) & (~c3_1(a1008)))) & ((~hskp8) | (ndr1_0 & c0_1(a1010) & c3_1(a1010) & (~c1_1(a1010)))) & ((~hskp9) | (ndr1_0 & c0_1(a1011) & c1_1(a1011) & (~c2_1(a1011)))) & ((~hskp10) | (ndr1_0 & c0_1(a1012) & (~c1_1(a1012)) & (~c3_1(a1012)))) & ((~hskp11) | (ndr1_0 & c3_1(a1015) & (~c0_1(a1015)) & (~c1_1(a1015)))) & ((~hskp12) | (ndr1_0 & c1_1(a1019) & c2_1(a1019) & (~c0_1(a1019)))) & ((~hskp13) | (ndr1_0 & c3_1(a1023) & (~c1_1(a1023)) & (~c2_1(a1023)))) & ((~hskp14) | (ndr1_0 & c0_1(a1025) & (~c2_1(a1025)) & (~c3_1(a1025)))) & ((~hskp15) | (ndr1_0 & c2_1(a1026) & (~c0_1(a1026)) & (~c1_1(a1026)))) & ((~hskp16) | (ndr1_0 & c1_1(a1030) & (~c2_1(a1030)) & (~c3_1(a1030)))) & ((~hskp17) | (ndr1_0 & c2_1(a1032) & c3_1(a1032) & (~c0_1(a1032)))) & ((~hskp18) | (ndr1_0 & c1_1(a1036) & c3_1(a1036) & (~c2_1(a1036)))) & ((~hskp19) | (ndr1_0 & (~c0_1(a1037)) & (~c1_1(a1037)) & (~c3_1(a1037)))) & ((~hskp20) | (ndr1_0 & (~c0_1(a1038)) & (~c1_1(a1038)) & (~c2_1(a1038)))) & ((~hskp21) | (ndr1_0 & c2_1(a1041) & (~c0_1(a1041)) & (~c3_1(a1041)))) & ((~hskp22) | (ndr1_0 & c0_1(a1043) & (~c1_1(a1043)) & (~c2_1(a1043)))) & ((~hskp23) | (ndr1_0 & c0_1(a1044) & c1_1(a1044) & (~c3_1(a1044)))) & ((~hskp24) | (ndr1_0 & c1_1(a1045) & c3_1(a1045) & (~c0_1(a1045)))) & ((~hskp25) | (ndr1_0 & c1_1(a1048) & (~c0_1(a1048)) & (~c3_1(a1048)))) & ((~hskp26) | (ndr1_0 & c3_1(a1052) & (~c0_1(a1052)) & (~c2_1(a1052)))) & ((~hskp27) | (ndr1_0 & c0_1(a1029) & c2_1(a1029) & c3_1(a1029))) & ((~hskp28) | (ndr1_0 & c0_1(a1033) & c1_1(a1033) & c2_1(a1033))) & ((~hskp29) | (ndr1_0 & c0_1(a1040) & c1_1(a1040) & c3_1(a1040))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp2 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c1_1(Z) | c3_1(Z) | (~ndr1_0))) & (![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c1_1(X2) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0)) | ![X3: $i] : (c2_1(X3) | (~c0_1(X3)) | (~c1_1(X3)) | (~ndr1_0))) & (hskp3 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c2_1(X4)) | (~ndr1_0)) | ![X5: $i] : (c2_1(X5) | c3_1(X5) | (~c1_1(X5)) | (~ndr1_0))) & (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) & (![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0))) & (hskp5 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0)) | ![X12: $i] : ((~c2_1(X12)) | (~c0_1(X12)) | (~c1_1(X12)) | (~ndr1_0))) & (![X13: $i] : (c2_1(X13) | c0_1(X13) | c3_1(X13) | (~ndr1_0)) | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0))) & (hskp6 | ![X16: $i] : (c2_1(X16) | c0_1(X16) | c3_1(X16) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c3_1(X17)) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | c3_1(X20) | (~c0_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | (~c2_1(X19)) | c3_1(X19) | (~ndr1_0))) & (hskp0 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c0_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp7 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c1_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp4 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c1_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c0_1(X26)) | (~ndr1_0))) & (hskp8 | ![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c1_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c1_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0))) & (hskp9 | hskp10 | ![X29: $i] : (c2_1(X29) | c0_1(X29) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp8 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c1_1(X30)) | (~ndr1_0))) & (hskp11 | ![X31: $i] : (c0_1(X31) | c3_1(X31) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0))) & (![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c2_1(X34) | c1_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c2_1(X35)) | (~c3_1(X35)) | (~c1_1(X35)) | (~ndr1_0))) & (hskp7 | ![X36: $i] : (c0_1(X36) | c3_1(X36) | (~c1_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c1_1(X37) | (~c2_1(X37)) | c3_1(X37) | (~ndr1_0))) & (![X38: $i] : (c0_1(X38) | c3_1(X38) | (~c1_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c3_1(X39)) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : ((~c2_1(X40)) | c3_1(X40) | (~c0_1(X40)) | (~ndr1_0))) & (hskp6 | ![X41: $i] : (c0_1(X41) | c3_1(X41) | (~c1_1(X41)) | (~ndr1_0)) | ![X42: $i] : ((~c2_1(X42)) | (~c3_1(X42)) | (~c0_1(X42)) | (~ndr1_0))) & (hskp6 | hskp12 | ![X43: $i] : (c0_1(X43) | c3_1(X43) | (~c1_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c0_1(X44) | (~c2_1(X44)) | c3_1(X44) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | c3_1(X46) | (~c0_1(X46)) | (~ndr1_0)) | ![X45: $i] : (c1_1(X45) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp11 | ![X47: $i] : (c0_1(X47) | (~c2_1(X47)) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c1_1(X48) | (~c3_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X49: $i] : (c0_1(X49) | (~c2_1(X49)) | c3_1(X49) | (~ndr1_0))) & (hskp13 | ![X50: $i] : (c0_1(X50) | (~c2_1(X50)) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (hskp8 | ![X52: $i] : (c0_1(X52) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c3_1(X53)) | (~ndr1_0))) & (hskp14 | ![X54: $i] : (c0_1(X54) | (~c2_1(X54)) | (~c1_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (![X56: $i] : (c0_1(X56) | (~c3_1(X56)) | (~c1_1(X56)) | (~ndr1_0)) | ![X58: $i] : ((~c2_1(X58)) | (~c3_1(X58)) | (~c1_1(X58)) | (~ndr1_0)) | ![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp15 | ![X59: $i] : (c0_1(X59) | (~c3_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c0_1(X60)) | (~ndr1_0))) & (hskp9 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c3_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp13 | ![X63: $i] : (c2_1(X63) | c1_1(X63) | c3_1(X63) | (~ndr1_0)) | ![X64: $i] : (c1_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp27 | ![X65: $i] : (c2_1(X65) | c1_1(X65) | c3_1(X65) | (~ndr1_0)) | ![X66: $i] : (c1_1(X66) | (~c2_1(X66)) | (~c0_1(X66)) | (~ndr1_0))) & (hskp16 | ![X67: $i] : (c2_1(X67) | c1_1(X67) | c3_1(X67) | (~ndr1_0)) | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c1_1(X68)) | (~ndr1_0))) & (hskp12 | ![X69: $i] : (c2_1(X69) | c1_1(X69) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c0_1(X70)) | (~ndr1_0))) & (hskp17 | ![X71: $i] : (c2_1(X71) | c1_1(X71) | c3_1(X71) | (~ndr1_0)) | ![X72: $i] : (c3_1(X72) | (~c0_1(X72)) | (~c1_1(X72)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X73: $i] : (c2_1(X73) | c1_1(X73) | (~c3_1(X73)) | (~ndr1_0))) & (hskp10 | hskp18 | ![X74: $i] : (c2_1(X74) | c1_1(X74) | (~c3_1(X74)) | (~ndr1_0))) & (hskp19 | ![X75: $i] : (c1_1(X75) | c3_1(X75) | (~c0_1(X75)) | (~ndr1_0)) | ![X76: $i] : (c1_1(X76) | (~c2_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp20 | ![X77: $i] : (c1_1(X77) | c3_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c2_1(X78) | c3_1(X78) | (~c0_1(X78)) | (~ndr1_0))) & (hskp10 | ![X79: $i] : (c1_1(X79) | c3_1(X79) | (~c0_1(X79)) | (~ndr1_0)) | ![X80: $i] : ((~c2_1(X80)) | c3_1(X80) | (~c1_1(X80)) | (~ndr1_0))) & (hskp21 | hskp29 | ![X81: $i] : (c1_1(X81) | c3_1(X81) | (~c0_1(X81)) | (~ndr1_0))) & (hskp6 | ![X82: $i] : (c1_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0)) | ![X83: $i] : (c1_1(X83) | (~c2_1(X83)) | (~c3_1(X83)) | (~ndr1_0))) & (hskp22 | ![X84: $i] : (c1_1(X84) | (~c3_1(X84)) | (~c0_1(X84)) | (~ndr1_0)) | ![X85: $i] : (c2_1(X85) | c3_1(X85) | (~c1_1(X85)) | (~ndr1_0))) & (![X86: $i] : (c1_1(X86) | (~c3_1(X86)) | (~c0_1(X86)) | (~ndr1_0)) | ![X87: $i] : (c2_1(X87) | (~c0_1(X87)) | (~c1_1(X87)) | (~ndr1_0)) | ![X88: $i] : ((~c2_1(X88)) | (~c3_1(X88)) | (~c1_1(X88)) | (~ndr1_0))) & (hskp23 | ![X89: $i] : (c1_1(X89) | (~c3_1(X89)) | (~c0_1(X89)) | (~ndr1_0))) & (hskp15 | hskp24 | ![X90: $i] : (c1_1(X90) | (~c3_1(X90)) | (~c0_1(X90)) | (~ndr1_0))) & (![X91: $i] : (c1_1(X91) | (~c2_1(X91)) | (~c3_1(X91)) | (~ndr1_0)) | ![X92: $i] : (c2_1(X92) | (~c3_1(X92)) | (~c0_1(X92)) | (~ndr1_0)) | ![X93: $i] : ((~c2_1(X93)) | c3_1(X93) | (~c1_1(X93)) | (~ndr1_0))) & (hskp3 | hskp25 | ![X94: $i] : (c2_1(X94) | c3_1(X94) | (~c0_1(X94)) | (~ndr1_0))) & (hskp15 | ![X95: $i] : (c2_1(X95) | c3_1(X95) | (~c1_1(X95)) | (~ndr1_0)) | ![X96: $i] : ((~c2_1(X96)) | c3_1(X96) | (~c0_1(X96)) | (~ndr1_0))) & (hskp6 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | (~c1_1(X97)) | (~ndr1_0)) | ![X98: $i] : ((~c2_1(X98)) | (~c3_1(X98)) | (~c0_1(X98)) | (~ndr1_0))) & (hskp8 | hskp26 | ![X99: $i] : (c2_1(X99) | (~c0_1(X99)) | (~c1_1(X99)) | (~ndr1_0))) & (hskp6 | hskp13 | ![X100: $i] : (c2_1(X100) | (~c0_1(X100)) | (~c1_1(X100)) | (~ndr1_0))) & (hskp3 | hskp23 | ![X101: $i] : (c2_1(X101) | (~c3_1(X101)) | (~c0_1(X101)) | (~ndr1_0))) & (hskp6 | hskp22 | ![X102: $i] : (c2_1(X102) | (~c3_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp4 | hskp19 | ![X103: $i] : (c3_1(X103) | (~c0_1(X103)) | (~c1_1(X103)) | (~ndr1_0))) & (hskp17 | ![X104: $i] : ((~c2_1(X104)) | c3_1(X104) | (~c0_1(X104)) | (~ndr1_0)) | ![X105: $i] : ((~c2_1(X105)) | (~c0_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp4 | hskp23 | ![X106: $i] : ((~c2_1(X106)) | c3_1(X106) | (~c1_1(X106)) | (~ndr1_0))) & (hskp9 | hskp12 | ![X107: $i] : ((~c2_1(X107)) | (~c0_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp7 | ![X108: $i] : ((~c2_1(X108)) | (~c0_1(X108)) | (~c1_1(X108)) | (~ndr1_0))) & (hskp3 | hskp24 | ![X109: $i] : ((~c2_1(X109)) | (~c3_1(X109)) | (~c0_1(X109)) | (~ndr1_0))) & (hskp19 | hskp26 | ![X110: $i] : ((~c2_1(X110)) | (~c3_1(X110)) | (~c0_1(X110)) | (~ndr1_0))) & (hskp13 | hskp23 | hskp29) & (hskp5 | hskp12 | hskp29) & (hskp3 | hskp26 | hskp29) & (hskp18 | hskp20 | hskp23) & (hskp6 | hskp14 | hskp27) & (hskp7 | hskp26 | hskp27) & (hskp12 | hskp14 | hskp22) & (hskp4 | hskp7 | hskp21) & (hskp19 | hskp24 | hskp25)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(9,plain,
% 0.19/0.51 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c0_1(a1000)) & c2_1(a1000)) & (~c3_1(a1000)))) & ((~hskp1) | (((ndr1_0 & c2_1(a1001)) & c3_1(a1001)) & (~c1_1(a1001))))) & ((~hskp2) | (((ndr1_0 & c0_1(a1002)) & c2_1(a1002)) & (~c1_1(a1002))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1003)) & (~c0_1(a1003))) & (~c2_1(a1003))))) & ((~hskp4) | (((ndr1_0 & c1_1(a1004)) & c2_1(a1004)) & (~c3_1(a1004))))) & ((~hskp5) | (((ndr1_0 & (~c1_1(a1005))) & (~c2_1(a1005))) & (~c3_1(a1005))))) & ((~hskp6) | (((ndr1_0 & c0_1(a1006)) & c3_1(a1006)) & (~c2_1(a1006))))) & ((~hskp7) | (((ndr1_0 & c2_1(a1008)) & (~c1_1(a1008))) & (~c3_1(a1008))))) & ((~hskp8) | (((ndr1_0 & c0_1(a1010)) & c3_1(a1010)) & (~c1_1(a1010))))) & ((~hskp9) | (((ndr1_0 & c0_1(a1011)) & c1_1(a1011)) & (~c2_1(a1011))))) & ((~hskp10) | (((ndr1_0 & c0_1(a1012)) & (~c1_1(a1012))) & (~c3_1(a1012))))) & ((~hskp11) | (((ndr1_0 & c3_1(a1015)) & (~c0_1(a1015))) & (~c1_1(a1015))))) & ((~hskp12) | (((ndr1_0 & c1_1(a1019)) & c2_1(a1019)) & (~c0_1(a1019))))) & ((~hskp13) | (((ndr1_0 & c3_1(a1023)) & (~c1_1(a1023))) & (~c2_1(a1023))))) & ((~hskp14) | (((ndr1_0 & c0_1(a1025)) & (~c2_1(a1025))) & (~c3_1(a1025))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1026)) & (~c0_1(a1026))) & (~c1_1(a1026))))) & ((~hskp16) | (((ndr1_0 & c1_1(a1030)) & (~c2_1(a1030))) & (~c3_1(a1030))))) & ((~hskp17) | (((ndr1_0 & c2_1(a1032)) & c3_1(a1032)) & (~c0_1(a1032))))) & ((~hskp18) | (((ndr1_0 & c1_1(a1036)) & c3_1(a1036)) & (~c2_1(a1036))))) & ((~hskp19) | (((ndr1_0 & (~c0_1(a1037))) & (~c1_1(a1037))) & (~c3_1(a1037))))) & ((~hskp20) | (((ndr1_0 & (~c0_1(a1038))) & (~c1_1(a1038))) & (~c2_1(a1038))))) & ((~hskp21) | (((ndr1_0 & c2_1(a1041)) & (~c0_1(a1041))) & (~c3_1(a1041))))) & ((~hskp22) | (((ndr1_0 & c0_1(a1043)) & (~c1_1(a1043))) & (~c2_1(a1043))))) & ((~hskp23) | (((ndr1_0 & c0_1(a1044)) & c1_1(a1044)) & (~c3_1(a1044))))) & ((~hskp24) | (((ndr1_0 & c1_1(a1045)) & c3_1(a1045)) & (~c0_1(a1045))))) & ((~hskp25) | (((ndr1_0 & c1_1(a1048)) & (~c0_1(a1048))) & (~c3_1(a1048))))) & ((~hskp26) | (((ndr1_0 & c3_1(a1052)) & (~c0_1(a1052))) & (~c2_1(a1052))))) & ((~hskp27) | (((ndr1_0 & c0_1(a1029)) & c2_1(a1029)) & c3_1(a1029)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1033)) & c1_1(a1033)) & c2_1(a1033)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1040)) & c1_1(a1040)) & c3_1(a1040)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp0) | hskp1)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c2_1(Z)) | c3_1(Z)))) | hskp2)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => ((c1_1(X2) | (~c0_1(X2))) | (~c2_1(X2))))) | ![X3: $i] : (ndr1_0 => ((c2_1(X3) | (~c0_1(X3))) | (~c1_1(X3)))))) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c2_1(X4)))) | ![X5: $i] : (ndr1_0 => ((c2_1(X5) | c3_1(X5)) | (~c1_1(X5))))) | hskp3)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | (~c0_1(X7))) | (~c3_1(X7))))) | hskp4)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9))))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c2_1(X10)))))) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | ![X12: $i] : (ndr1_0 => (((~c0_1(X12)) | (~c1_1(X12))) | (~c2_1(X12))))) | hskp5)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c2_1(X13)) | c3_1(X13))) | ![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14))))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15))))) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | c3_1(X16))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp6)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c2_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | c3_1(X20)) | (~c0_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c0_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp0)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c1_1(X24) | c2_1(X24)) | (~c3_1(X24))))) | hskp7)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c1_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c0_1(X26))))) | hskp4)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c1_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c1_1(X28) | c3_1(X28)) | (~c2_1(X28))))) | hskp8)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | c2_1(X29)) | (~c1_1(X29)))) | hskp9) | hskp10)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c1_1(X30)))) | hskp8) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | c3_1(X31)) | (~c1_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32))))) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c1_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c2_1(X34)) | (~c3_1(X34))))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35)))))) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | c3_1(X36)) | (~c1_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c1_1(X37) | c3_1(X37)) | (~c2_1(X37))))) | hskp7)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | c3_1(X38)) | (~c1_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c3_1(X39))))) | ![X40: $i] : (ndr1_0 => ((c3_1(X40) | (~c0_1(X40))) | (~c2_1(X40)))))) & ((![X41: $i] : (ndr1_0 => ((c0_1(X41) | c3_1(X41)) | (~c1_1(X41)))) | ![X42: $i] : (ndr1_0 => (((~c0_1(X42)) | (~c2_1(X42))) | (~c3_1(X42))))) | hskp6)) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | c3_1(X43)) | (~c1_1(X43)))) | hskp6) | hskp12)) & ((![X44: $i] : (ndr1_0 => ((c0_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c1_1(X45) | (~c0_1(X45))) | (~c2_1(X45))))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | c3_1(X46)) | (~c0_1(X46)))))) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | (~c0_1(X48))) | (~c3_1(X48))))) | hskp11)) & ((![X49: $i] : (ndr1_0 => ((c0_1(X49) | c3_1(X49)) | (~c2_1(X49)))) | hskp2) | hskp1)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | (~c1_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51))))) | hskp13)) & ((![X52: $i] : (ndr1_0 => ((c0_1(X52) | (~c1_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c2_1(X53))) | (~c3_1(X53))))) | hskp8)) & ((![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c2_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c0_1(X55))) | (~c3_1(X55))))) | hskp14)) & ((![X56: $i] : (ndr1_0 => ((c0_1(X56) | (~c1_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => ((c0_1(X57) | (~c2_1(X57))) | (~c3_1(X57))))) | ![X58: $i] : (ndr1_0 => (((~c1_1(X58)) | (~c2_1(X58))) | (~c3_1(X58)))))) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c3_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60))))) | hskp15)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c1_1(X62))))) | hskp9)) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | c2_1(X63)) | c3_1(X63))) | ![X64: $i] : (ndr1_0 => ((c1_1(X64) | c3_1(X64)) | (~c0_1(X64))))) | hskp13)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | c2_1(X65)) | c3_1(X65))) | ![X66: $i] : (ndr1_0 => ((c1_1(X66) | (~c0_1(X66))) | (~c2_1(X66))))) | hskp27)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | c2_1(X67)) | c3_1(X67))) | ![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c1_1(X68))))) | hskp16)) & ((![X69: $i] : (ndr1_0 => ((c1_1(X69) | c2_1(X69)) | c3_1(X69))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c3_1(X70))))) | hskp12)) & ((![X71: $i] : (ndr1_0 => ((c1_1(X71) | c2_1(X71)) | c3_1(X71))) | ![X72: $i] : (ndr1_0 => ((c3_1(X72) | (~c0_1(X72))) | (~c1_1(X72))))) | hskp17)) & ((![X73: $i] : (ndr1_0 => ((c1_1(X73) | c2_1(X73)) | (~c3_1(X73)))) | hskp28) | hskp8)) & ((![X74: $i] : (ndr1_0 => ((c1_1(X74) | c2_1(X74)) | (~c3_1(X74)))) | hskp10) | hskp18)) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c3_1(X75)) | (~c0_1(X75)))) | ![X76: $i] : (ndr1_0 => ((c1_1(X76) | (~c0_1(X76))) | (~c2_1(X76))))) | hskp19)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c3_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c2_1(X78) | c3_1(X78)) | (~c0_1(X78))))) | hskp20)) & ((![X79: $i] : (ndr1_0 => ((c1_1(X79) | c3_1(X79)) | (~c0_1(X79)))) | ![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c1_1(X80))) | (~c2_1(X80))))) | hskp10)) & ((![X81: $i] : (ndr1_0 => ((c1_1(X81) | c3_1(X81)) | (~c0_1(X81)))) | hskp29) | hskp21)) & ((![X82: $i] : (ndr1_0 => ((c1_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | ![X83: $i] : (ndr1_0 => ((c1_1(X83) | (~c2_1(X83))) | (~c3_1(X83))))) | hskp6)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | (~c0_1(X84))) | (~c3_1(X84)))) | ![X85: $i] : (ndr1_0 => ((c2_1(X85) | c3_1(X85)) | (~c1_1(X85))))) | hskp22)) & ((![X86: $i] : (ndr1_0 => ((c1_1(X86) | (~c0_1(X86))) | (~c3_1(X86)))) | ![X87: $i] : (ndr1_0 => ((c2_1(X87) | (~c0_1(X87))) | (~c1_1(X87))))) | ![X88: $i] : (ndr1_0 => (((~c1_1(X88)) | (~c2_1(X88))) | (~c3_1(X88)))))) & (![X89: $i] : (ndr1_0 => ((c1_1(X89) | (~c0_1(X89))) | (~c3_1(X89)))) | hskp23)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | (~c0_1(X90))) | (~c3_1(X90)))) | hskp24) | hskp15)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c2_1(X91))) | (~c3_1(X91)))) | ![X92: $i] : (ndr1_0 => ((c2_1(X92) | (~c0_1(X92))) | (~c3_1(X92))))) | ![X93: $i] : (ndr1_0 => ((c3_1(X93) | (~c1_1(X93))) | (~c2_1(X93)))))) & ((![X94: $i] : (ndr1_0 => ((c2_1(X94) | c3_1(X94)) | (~c0_1(X94)))) | hskp3) | hskp25)) & ((![X95: $i] : (ndr1_0 => ((c2_1(X95) | c3_1(X95)) | (~c1_1(X95)))) | ![X96: $i] : (ndr1_0 => ((c3_1(X96) | (~c0_1(X96))) | (~c2_1(X96))))) | hskp15)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | (~c0_1(X97))) | (~c1_1(X97)))) | ![X98: $i] : (ndr1_0 => (((~c0_1(X98)) | (~c2_1(X98))) | (~c3_1(X98))))) | hskp6)) & ((![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c0_1(X99))) | (~c1_1(X99)))) | hskp8) | hskp26)) & ((![X100: $i] : (ndr1_0 => ((c2_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))) | hskp6) | hskp13)) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c3_1(X101)))) | hskp23) | hskp3)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c1_1(X102))) | (~c3_1(X102)))) | hskp6) | hskp22)) & ((![X103: $i] : (ndr1_0 => ((c3_1(X103) | (~c0_1(X103))) | (~c1_1(X103)))) | hskp4) | hskp19)) & ((![X104: $i] : (ndr1_0 => ((c3_1(X104) | (~c0_1(X104))) | (~c2_1(X104)))) | ![X105: $i] : (ndr1_0 => (((~c0_1(X105)) | (~c1_1(X105))) | (~c2_1(X105))))) | hskp17)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c1_1(X106))) | (~c2_1(X106)))) | hskp23) | hskp4)) & ((![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c2_1(X107)))) | hskp9) | hskp12)) & (![X108: $i] : (ndr1_0 => (((~c0_1(X108)) | (~c1_1(X108))) | (~c2_1(X108)))) | hskp7)) & ((![X109: $i] : (ndr1_0 => (((~c0_1(X109)) | (~c2_1(X109))) | (~c3_1(X109)))) | hskp24) | hskp3)) & ((![X110: $i] : (ndr1_0 => (((~c0_1(X110)) | (~c2_1(X110))) | (~c3_1(X110)))) | hskp26) | hskp19)) & ((hskp29 | hskp23) | hskp13)) & ((hskp29 | hskp12) | hskp5)) & ((hskp29 | hskp3) | hskp26)) & ((hskp23 | hskp18) | hskp20)) & ((hskp27 | hskp6) | hskp14)) & ((hskp27 | hskp7) | hskp26)) & ((hskp22 | hskp14) | hskp12)) & ((hskp4 | hskp21) | hskp7)) & ((hskp24 | hskp25) | hskp19)))) <=> (~(~(((~hskp0) | (ndr1_0 & c0_1(a1000) & c2_1(a1000) & (~c3_1(a1000)))) & ((~hskp1) | (ndr1_0 & c2_1(a1001) & c3_1(a1001) & (~c1_1(a1001)))) & ((~hskp2) | (ndr1_0 & c0_1(a1002) & c2_1(a1002) & (~c1_1(a1002)))) & ((~hskp3) | (ndr1_0 & c1_1(a1003) & (~c0_1(a1003)) & (~c2_1(a1003)))) & ((~hskp4) | (ndr1_0 & c1_1(a1004) & c2_1(a1004) & (~c3_1(a1004)))) & ((~hskp5) | (ndr1_0 & (~c1_1(a1005)) & (~c2_1(a1005)) & (~c3_1(a1005)))) & ((~hskp6) | (ndr1_0 & c0_1(a1006) & c3_1(a1006) & (~c2_1(a1006)))) & ((~hskp7) | (ndr1_0 & c2_1(a1008) & (~c1_1(a1008)) & (~c3_1(a1008)))) & ((~hskp8) | (ndr1_0 & c0_1(a1010) & c3_1(a1010) & (~c1_1(a1010)))) & ((~hskp9) | (ndr1_0 & c0_1(a1011) & c1_1(a1011) & (~c2_1(a1011)))) & ((~hskp10) | (ndr1_0 & c0_1(a1012) & (~c1_1(a1012)) & (~c3_1(a1012)))) & ((~hskp11) | (ndr1_0 & c3_1(a1015) & (~c0_1(a1015)) & (~c1_1(a1015)))) & ((~hskp12) | (ndr1_0 & c1_1(a1019) & c2_1(a1019) & (~c0_1(a1019)))) & ((~hskp13) | (ndr1_0 & c3_1(a1023) & (~c1_1(a1023)) & (~c2_1(a1023)))) & ((~hskp14) | (ndr1_0 & c0_1(a1025) & (~c2_1(a1025)) & (~c3_1(a1025)))) & ((~hskp15) | (ndr1_0 & c2_1(a1026) & (~c0_1(a1026)) & (~c1_1(a1026)))) & ((~hskp16) | (ndr1_0 & c1_1(a1030) & (~c2_1(a1030)) & (~c3_1(a1030)))) & ((~hskp17) | (ndr1_0 & c2_1(a1032) & c3_1(a1032) & (~c0_1(a1032)))) & ((~hskp18) | (ndr1_0 & c1_1(a1036) & c3_1(a1036) & (~c2_1(a1036)))) & ((~hskp19) | (ndr1_0 & (~c0_1(a1037)) & (~c1_1(a1037)) & (~c3_1(a1037)))) & ((~hskp20) | (ndr1_0 & (~c0_1(a1038)) & (~c1_1(a1038)) & (~c2_1(a1038)))) & ((~hskp21) | (ndr1_0 & c2_1(a1041) & (~c0_1(a1041)) & (~c3_1(a1041)))) & ((~hskp22) | (ndr1_0 & c0_1(a1043) & (~c1_1(a1043)) & (~c2_1(a1043)))) & ((~hskp23) | (ndr1_0 & c0_1(a1044) & c1_1(a1044) & (~c3_1(a1044)))) & ((~hskp24) | (ndr1_0 & c1_1(a1045) & c3_1(a1045) & (~c0_1(a1045)))) & ((~hskp25) | (ndr1_0 & c1_1(a1048) & (~c0_1(a1048)) & (~c3_1(a1048)))) & ((~hskp26) | (ndr1_0 & c3_1(a1052) & (~c0_1(a1052)) & (~c2_1(a1052)))) & ((~hskp27) | (ndr1_0 & c0_1(a1029) & c2_1(a1029) & c3_1(a1029))) & ((~hskp28) | (ndr1_0 & c0_1(a1033) & c1_1(a1033) & c2_1(a1033))) & ((~hskp29) | (ndr1_0 & c0_1(a1040) & c1_1(a1040) & c3_1(a1040))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp2 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c1_1(Z) | c3_1(Z) | (~ndr1_0))) & (![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c1_1(X2) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0)) | ![X3: $i] : (c2_1(X3) | (~c0_1(X3)) | (~c1_1(X3)) | (~ndr1_0))) & (hskp3 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c2_1(X4)) | (~ndr1_0)) | ![X5: $i] : (c2_1(X5) | c3_1(X5) | (~c1_1(X5)) | (~ndr1_0))) & (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) & (![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0))) & (hskp5 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0)) | ![X12: $i] : ((~c2_1(X12)) | (~c0_1(X12)) | (~c1_1(X12)) | (~ndr1_0))) & (![X13: $i] : (c2_1(X13) | c0_1(X13) | c3_1(X13) | (~ndr1_0)) | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0))) & (hskp6 | ![X16: $i] : (c2_1(X16) | c0_1(X16) | c3_1(X16) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c3_1(X17)) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | c3_1(X20) | (~c0_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | (~c2_1(X19)) | c3_1(X19) | (~ndr1_0))) & (hskp0 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c0_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp7 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c1_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp4 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c1_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c0_1(X26)) | (~ndr1_0))) & (hskp8 | ![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c1_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c1_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0))) & (hskp9 | hskp10 | ![X29: $i] : (c2_1(X29) | c0_1(X29) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp8 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c1_1(X30)) | (~ndr1_0))) & (hskp11 | ![X31: $i] : (c0_1(X31) | c3_1(X31) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0))) & (![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c2_1(X34) | c1_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c2_1(X35)) | (~c3_1(X35)) | (~c1_1(X35)) | (~ndr1_0))) & (hskp7 | ![X36: $i] : (c0_1(X36) | c3_1(X36) | (~c1_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c1_1(X37) | (~c2_1(X37)) | c3_1(X37) | (~ndr1_0))) & (![X38: $i] : (c0_1(X38) | c3_1(X38) | (~c1_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c3_1(X39)) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : ((~c2_1(X40)) | c3_1(X40) | (~c0_1(X40)) | (~ndr1_0))) & (hskp6 | ![X41: $i] : (c0_1(X41) | c3_1(X41) | (~c1_1(X41)) | (~ndr1_0)) | ![X42: $i] : ((~c2_1(X42)) | (~c3_1(X42)) | (~c0_1(X42)) | (~ndr1_0))) & (hskp6 | hskp12 | ![X43: $i] : (c0_1(X43) | c3_1(X43) | (~c1_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c0_1(X44) | (~c2_1(X44)) | c3_1(X44) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | c3_1(X46) | (~c0_1(X46)) | (~ndr1_0)) | ![X45: $i] : (c1_1(X45) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp11 | ![X47: $i] : (c0_1(X47) | (~c2_1(X47)) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c1_1(X48) | (~c3_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X49: $i] : (c0_1(X49) | (~c2_1(X49)) | c3_1(X49) | (~ndr1_0))) & (hskp13 | ![X50: $i] : (c0_1(X50) | (~c2_1(X50)) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (hskp8 | ![X52: $i] : (c0_1(X52) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c3_1(X53)) | (~ndr1_0))) & (hskp14 | ![X54: $i] : (c0_1(X54) | (~c2_1(X54)) | (~c1_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (![X56: $i] : (c0_1(X56) | (~c3_1(X56)) | (~c1_1(X56)) | (~ndr1_0)) | ![X58: $i] : ((~c2_1(X58)) | (~c3_1(X58)) | (~c1_1(X58)) | (~ndr1_0)) | ![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp15 | ![X59: $i] : (c0_1(X59) | (~c3_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c0_1(X60)) | (~ndr1_0))) & (hskp9 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c3_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp13 | ![X63: $i] : (c2_1(X63) | c1_1(X63) | c3_1(X63) | (~ndr1_0)) | ![X64: $i] : (c1_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp27 | ![X65: $i] : (c2_1(X65) | c1_1(X65) | c3_1(X65) | (~ndr1_0)) | ![X66: $i] : (c1_1(X66) | (~c2_1(X66)) | (~c0_1(X66)) | (~ndr1_0))) & (hskp16 | ![X67: $i] : (c2_1(X67) | c1_1(X67) | c3_1(X67) | (~ndr1_0)) | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c1_1(X68)) | (~ndr1_0))) & (hskp12 | ![X69: $i] : (c2_1(X69) | c1_1(X69) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c0_1(X70)) | (~ndr1_0))) & (hskp17 | ![X71: $i] : (c2_1(X71) | c1_1(X71) | c3_1(X71) | (~ndr1_0)) | ![X72: $i] : (c3_1(X72) | (~c0_1(X72)) | (~c1_1(X72)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X73: $i] : (c2_1(X73) | c1_1(X73) | (~c3_1(X73)) | (~ndr1_0))) & (hskp10 | hskp18 | ![X74: $i] : (c2_1(X74) | c1_1(X74) | (~c3_1(X74)) | (~ndr1_0))) & (hskp19 | ![X75: $i] : (c1_1(X75) | c3_1(X75) | (~c0_1(X75)) | (~ndr1_0)) | ![X76: $i] : (c1_1(X76) | (~c2_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp20 | ![X77: $i] : (c1_1(X77) | c3_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c2_1(X78) | c3_1(X78) | (~c0_1(X78)) | (~ndr1_0))) & (hskp10 | ![X79: $i] : (c1_1(X79) | c3_1(X79) | (~c0_1(X79)) | (~ndr1_0)) | ![X80: $i] : ((~c2_1(X80)) | c3_1(X80) | (~c1_1(X80)) | (~ndr1_0))) & (hskp21 | hskp29 | ![X81: $i] : (c1_1(X81) | c3_1(X81) | (~c0_1(X81)) | (~ndr1_0))) & (hskp6 | ![X82: $i] : (c1_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0)) | ![X83: $i] : (c1_1(X83) | (~c2_1(X83)) | (~c3_1(X83)) | (~ndr1_0))) & (hskp22 | ![X84: $i] : (c1_1(X84) | (~c3_1(X84)) | (~c0_1(X84)) | (~ndr1_0)) | ![X85: $i] : (c2_1(X85) | c3_1(X85) | (~c1_1(X85)) | (~ndr1_0))) & (![X86: $i] : (c1_1(X86) | (~c3_1(X86)) | (~c0_1(X86)) | (~ndr1_0)) | ![X87: $i] : (c2_1(X87) | (~c0_1(X87)) | (~c1_1(X87)) | (~ndr1_0)) | ![X88: $i] : ((~c2_1(X88)) | (~c3_1(X88)) | (~c1_1(X88)) | (~ndr1_0))) & (hskp23 | ![X89: $i] : (c1_1(X89) | (~c3_1(X89)) | (~c0_1(X89)) | (~ndr1_0))) & (hskp15 | hskp24 | ![X90: $i] : (c1_1(X90) | (~c3_1(X90)) | (~c0_1(X90)) | (~ndr1_0))) & (![X91: $i] : (c1_1(X91) | (~c2_1(X91)) | (~c3_1(X91)) | (~ndr1_0)) | ![X92: $i] : (c2_1(X92) | (~c3_1(X92)) | (~c0_1(X92)) | (~ndr1_0)) | ![X93: $i] : ((~c2_1(X93)) | c3_1(X93) | (~c1_1(X93)) | (~ndr1_0))) & (hskp3 | hskp25 | ![X94: $i] : (c2_1(X94) | c3_1(X94) | (~c0_1(X94)) | (~ndr1_0))) & (hskp15 | ![X95: $i] : (c2_1(X95) | c3_1(X95) | (~c1_1(X95)) | (~ndr1_0)) | ![X96: $i] : ((~c2_1(X96)) | c3_1(X96) | (~c0_1(X96)) | (~ndr1_0))) & (hskp6 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | (~c1_1(X97)) | (~ndr1_0)) | ![X98: $i] : ((~c2_1(X98)) | (~c3_1(X98)) | (~c0_1(X98)) | (~ndr1_0))) & (hskp8 | hskp26 | ![X99: $i] : (c2_1(X99) | (~c0_1(X99)) | (~c1_1(X99)) | (~ndr1_0))) & (hskp6 | hskp13 | ![X100: $i] : (c2_1(X100) | (~c0_1(X100)) | (~c1_1(X100)) | (~ndr1_0))) & (hskp3 | hskp23 | ![X101: $i] : (c2_1(X101) | (~c3_1(X101)) | (~c0_1(X101)) | (~ndr1_0))) & (hskp6 | hskp22 | ![X102: $i] : (c2_1(X102) | (~c3_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp4 | hskp19 | ![X103: $i] : (c3_1(X103) | (~c0_1(X103)) | (~c1_1(X103)) | (~ndr1_0))) & (hskp17 | ![X104: $i] : ((~c2_1(X104)) | c3_1(X104) | (~c0_1(X104)) | (~ndr1_0)) | ![X105: $i] : ((~c2_1(X105)) | (~c0_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp4 | hskp23 | ![X106: $i] : ((~c2_1(X106)) | c3_1(X106) | (~c1_1(X106)) | (~ndr1_0))) & (hskp9 | hskp12 | ![X107: $i] : ((~c2_1(X107)) | (~c0_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp7 | ![X108: $i] : ((~c2_1(X108)) | (~c0_1(X108)) | (~c1_1(X108)) | (~ndr1_0))) & (hskp3 | hskp24 | ![X109: $i] : ((~c2_1(X109)) | (~c3_1(X109)) | (~c0_1(X109)) | (~ndr1_0))) & (hskp19 | hskp26 | ![X110: $i] : ((~c2_1(X110)) | (~c3_1(X110)) | (~c0_1(X110)) | (~ndr1_0))) & (hskp13 | hskp23 | hskp29) & (hskp5 | hskp12 | hskp29) & (hskp3 | hskp26 | hskp29) & (hskp18 | hskp20 | hskp23) & (hskp6 | hskp14 | hskp27) & (hskp7 | hskp26 | hskp27) & (hskp12 | hskp14 | hskp22) & (hskp4 | hskp7 | hskp21) & (hskp19 | hskp24 | hskp25))))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[8])).
% 0.19/0.52 tff(10,plain,
% 0.19/0.52 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c0_1(a1000)) & c2_1(a1000)) & (~c3_1(a1000)))) & ((~hskp1) | (((ndr1_0 & c2_1(a1001)) & c3_1(a1001)) & (~c1_1(a1001))))) & ((~hskp2) | (((ndr1_0 & c0_1(a1002)) & c2_1(a1002)) & (~c1_1(a1002))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1003)) & (~c0_1(a1003))) & (~c2_1(a1003))))) & ((~hskp4) | (((ndr1_0 & c1_1(a1004)) & c2_1(a1004)) & (~c3_1(a1004))))) & ((~hskp5) | (((ndr1_0 & (~c1_1(a1005))) & (~c2_1(a1005))) & (~c3_1(a1005))))) & ((~hskp6) | (((ndr1_0 & c0_1(a1006)) & c3_1(a1006)) & (~c2_1(a1006))))) & ((~hskp7) | (((ndr1_0 & c2_1(a1008)) & (~c1_1(a1008))) & (~c3_1(a1008))))) & ((~hskp8) | (((ndr1_0 & c0_1(a1010)) & c3_1(a1010)) & (~c1_1(a1010))))) & ((~hskp9) | (((ndr1_0 & c0_1(a1011)) & c1_1(a1011)) & (~c2_1(a1011))))) & ((~hskp10) | (((ndr1_0 & c0_1(a1012)) & (~c1_1(a1012))) & (~c3_1(a1012))))) & ((~hskp11) | (((ndr1_0 & c3_1(a1015)) & (~c0_1(a1015))) & (~c1_1(a1015))))) & ((~hskp12) | (((ndr1_0 & c1_1(a1019)) & c2_1(a1019)) & (~c0_1(a1019))))) & ((~hskp13) | (((ndr1_0 & c3_1(a1023)) & (~c1_1(a1023))) & (~c2_1(a1023))))) & ((~hskp14) | (((ndr1_0 & c0_1(a1025)) & (~c2_1(a1025))) & (~c3_1(a1025))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1026)) & (~c0_1(a1026))) & (~c1_1(a1026))))) & ((~hskp16) | (((ndr1_0 & c1_1(a1030)) & (~c2_1(a1030))) & (~c3_1(a1030))))) & ((~hskp17) | (((ndr1_0 & c2_1(a1032)) & c3_1(a1032)) & (~c0_1(a1032))))) & ((~hskp18) | (((ndr1_0 & c1_1(a1036)) & c3_1(a1036)) & (~c2_1(a1036))))) & ((~hskp19) | (((ndr1_0 & (~c0_1(a1037))) & (~c1_1(a1037))) & (~c3_1(a1037))))) & ((~hskp20) | (((ndr1_0 & (~c0_1(a1038))) & (~c1_1(a1038))) & (~c2_1(a1038))))) & ((~hskp21) | (((ndr1_0 & c2_1(a1041)) & (~c0_1(a1041))) & (~c3_1(a1041))))) & ((~hskp22) | (((ndr1_0 & c0_1(a1043)) & (~c1_1(a1043))) & (~c2_1(a1043))))) & ((~hskp23) | (((ndr1_0 & c0_1(a1044)) & c1_1(a1044)) & (~c3_1(a1044))))) & ((~hskp24) | (((ndr1_0 & c1_1(a1045)) & c3_1(a1045)) & (~c0_1(a1045))))) & ((~hskp25) | (((ndr1_0 & c1_1(a1048)) & (~c0_1(a1048))) & (~c3_1(a1048))))) & ((~hskp26) | (((ndr1_0 & c3_1(a1052)) & (~c0_1(a1052))) & (~c2_1(a1052))))) & ((~hskp27) | (((ndr1_0 & c0_1(a1029)) & c2_1(a1029)) & c3_1(a1029)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1033)) & c1_1(a1033)) & c2_1(a1033)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1040)) & c1_1(a1040)) & c3_1(a1040)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp0) | hskp1)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c2_1(Z)) | c3_1(Z)))) | hskp2)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => ((c1_1(X2) | (~c0_1(X2))) | (~c2_1(X2))))) | ![X3: $i] : (ndr1_0 => ((c2_1(X3) | (~c0_1(X3))) | (~c1_1(X3)))))) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c2_1(X4)))) | ![X5: $i] : (ndr1_0 => ((c2_1(X5) | c3_1(X5)) | (~c1_1(X5))))) | hskp3)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | (~c0_1(X7))) | (~c3_1(X7))))) | hskp4)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9))))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c2_1(X10)))))) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | ![X12: $i] : (ndr1_0 => (((~c0_1(X12)) | (~c1_1(X12))) | (~c2_1(X12))))) | hskp5)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c2_1(X13)) | c3_1(X13))) | ![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14))))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15))))) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | c3_1(X16))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp6)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c2_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | c3_1(X20)) | (~c0_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c0_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp0)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c1_1(X24) | c2_1(X24)) | (~c3_1(X24))))) | hskp7)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c1_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c0_1(X26))))) | hskp4)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c1_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c1_1(X28) | c3_1(X28)) | (~c2_1(X28))))) | hskp8)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | c2_1(X29)) | (~c1_1(X29)))) | hskp9) | hskp10)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c1_1(X30)))) | hskp8) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | c3_1(X31)) | (~c1_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32))))) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c1_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c2_1(X34)) | (~c3_1(X34))))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35)))))) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | c3_1(X36)) | (~c1_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c1_1(X37) | c3_1(X37)) | (~c2_1(X37))))) | hskp7)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | c3_1(X38)) | (~c1_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c3_1(X39))))) | ![X40: $i] : (ndr1_0 => ((c3_1(X40) | (~c0_1(X40))) | (~c2_1(X40)))))) & ((![X41: $i] : (ndr1_0 => ((c0_1(X41) | c3_1(X41)) | (~c1_1(X41)))) | ![X42: $i] : (ndr1_0 => (((~c0_1(X42)) | (~c2_1(X42))) | (~c3_1(X42))))) | hskp6)) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | c3_1(X43)) | (~c1_1(X43)))) | hskp6) | hskp12)) & ((![X44: $i] : (ndr1_0 => ((c0_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c1_1(X45) | (~c0_1(X45))) | (~c2_1(X45))))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | c3_1(X46)) | (~c0_1(X46)))))) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | (~c0_1(X48))) | (~c3_1(X48))))) | hskp11)) & ((![X49: $i] : (ndr1_0 => ((c0_1(X49) | c3_1(X49)) | (~c2_1(X49)))) | hskp2) | hskp1)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | (~c1_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51))))) | hskp13)) & ((![X52: $i] : (ndr1_0 => ((c0_1(X52) | (~c1_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c2_1(X53))) | (~c3_1(X53))))) | hskp8)) & ((![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c2_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c0_1(X55))) | (~c3_1(X55))))) | hskp14)) & ((![X56: $i] : (ndr1_0 => ((c0_1(X56) | (~c1_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => ((c0_1(X57) | (~c2_1(X57))) | (~c3_1(X57))))) | ![X58: $i] : (ndr1_0 => (((~c1_1(X58)) | (~c2_1(X58))) | (~c3_1(X58)))))) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c3_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60))))) | hskp15)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c1_1(X62))))) | hskp9)) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | c2_1(X63)) | c3_1(X63))) | ![X64: $i] : (ndr1_0 => ((c1_1(X64) | c3_1(X64)) | (~c0_1(X64))))) | hskp13)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | c2_1(X65)) | c3_1(X65))) | ![X66: $i] : (ndr1_0 => ((c1_1(X66) | (~c0_1(X66))) | (~c2_1(X66))))) | hskp27)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | c2_1(X67)) | c3_1(X67))) | ![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c1_1(X68))))) | hskp16)) & ((![X69: $i] : (ndr1_0 => ((c1_1(X69) | c2_1(X69)) | c3_1(X69))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c3_1(X70))))) | hskp12)) & ((![X71: $i] : (ndr1_0 => ((c1_1(X71) | c2_1(X71)) | c3_1(X71))) | ![X72: $i] : (ndr1_0 => ((c3_1(X72) | (~c0_1(X72))) | (~c1_1(X72))))) | hskp17)) & ((![X73: $i] : (ndr1_0 => ((c1_1(X73) | c2_1(X73)) | (~c3_1(X73)))) | hskp28) | hskp8)) & ((![X74: $i] : (ndr1_0 => ((c1_1(X74) | c2_1(X74)) | (~c3_1(X74)))) | hskp10) | hskp18)) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c3_1(X75)) | (~c0_1(X75)))) | ![X76: $i] : (ndr1_0 => ((c1_1(X76) | (~c0_1(X76))) | (~c2_1(X76))))) | hskp19)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c3_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c2_1(X78) | c3_1(X78)) | (~c0_1(X78))))) | hskp20)) & ((![X79: $i] : (ndr1_0 => ((c1_1(X79) | c3_1(X79)) | (~c0_1(X79)))) | ![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c1_1(X80))) | (~c2_1(X80))))) | hskp10)) & ((![X81: $i] : (ndr1_0 => ((c1_1(X81) | c3_1(X81)) | (~c0_1(X81)))) | hskp29) | hskp21)) & ((![X82: $i] : (ndr1_0 => ((c1_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | ![X83: $i] : (ndr1_0 => ((c1_1(X83) | (~c2_1(X83))) | (~c3_1(X83))))) | hskp6)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | (~c0_1(X84))) | (~c3_1(X84)))) | ![X85: $i] : (ndr1_0 => ((c2_1(X85) | c3_1(X85)) | (~c1_1(X85))))) | hskp22)) & ((![X86: $i] : (ndr1_0 => ((c1_1(X86) | (~c0_1(X86))) | (~c3_1(X86)))) | ![X87: $i] : (ndr1_0 => ((c2_1(X87) | (~c0_1(X87))) | (~c1_1(X87))))) | ![X88: $i] : (ndr1_0 => (((~c1_1(X88)) | (~c2_1(X88))) | (~c3_1(X88)))))) & (![X89: $i] : (ndr1_0 => ((c1_1(X89) | (~c0_1(X89))) | (~c3_1(X89)))) | hskp23)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | (~c0_1(X90))) | (~c3_1(X90)))) | hskp24) | hskp15)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c2_1(X91))) | (~c3_1(X91)))) | ![X92: $i] : (ndr1_0 => ((c2_1(X92) | (~c0_1(X92))) | (~c3_1(X92))))) | ![X93: $i] : (ndr1_0 => ((c3_1(X93) | (~c1_1(X93))) | (~c2_1(X93)))))) & ((![X94: $i] : (ndr1_0 => ((c2_1(X94) | c3_1(X94)) | (~c0_1(X94)))) | hskp3) | hskp25)) & ((![X95: $i] : (ndr1_0 => ((c2_1(X95) | c3_1(X95)) | (~c1_1(X95)))) | ![X96: $i] : (ndr1_0 => ((c3_1(X96) | (~c0_1(X96))) | (~c2_1(X96))))) | hskp15)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | (~c0_1(X97))) | (~c1_1(X97)))) | ![X98: $i] : (ndr1_0 => (((~c0_1(X98)) | (~c2_1(X98))) | (~c3_1(X98))))) | hskp6)) & ((![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c0_1(X99))) | (~c1_1(X99)))) | hskp8) | hskp26)) & ((![X100: $i] : (ndr1_0 => ((c2_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))) | hskp6) | hskp13)) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c3_1(X101)))) | hskp23) | hskp3)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c1_1(X102))) | (~c3_1(X102)))) | hskp6) | hskp22)) & ((![X103: $i] : (ndr1_0 => ((c3_1(X103) | (~c0_1(X103))) | (~c1_1(X103)))) | hskp4) | hskp19)) & ((![X104: $i] : (ndr1_0 => ((c3_1(X104) | (~c0_1(X104))) | (~c2_1(X104)))) | ![X105: $i] : (ndr1_0 => (((~c0_1(X105)) | (~c1_1(X105))) | (~c2_1(X105))))) | hskp17)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c1_1(X106))) | (~c2_1(X106)))) | hskp23) | hskp4)) & ((![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c2_1(X107)))) | hskp9) | hskp12)) & (![X108: $i] : (ndr1_0 => (((~c0_1(X108)) | (~c1_1(X108))) | (~c2_1(X108)))) | hskp7)) & ((![X109: $i] : (ndr1_0 => (((~c0_1(X109)) | (~c2_1(X109))) | (~c3_1(X109)))) | hskp24) | hskp3)) & ((![X110: $i] : (ndr1_0 => (((~c0_1(X110)) | (~c2_1(X110))) | (~c3_1(X110)))) | hskp26) | hskp19)) & ((hskp29 | hskp23) | hskp13)) & ((hskp29 | hskp12) | hskp5)) & ((hskp29 | hskp3) | hskp26)) & ((hskp23 | hskp18) | hskp20)) & ((hskp27 | hskp6) | hskp14)) & ((hskp27 | hskp7) | hskp26)) & ((hskp22 | hskp14) | hskp12)) & ((hskp4 | hskp21) | hskp7)) & ((hskp24 | hskp25) | hskp19)))) <=> (((~hskp0) | (ndr1_0 & c0_1(a1000) & c2_1(a1000) & (~c3_1(a1000)))) & ((~hskp1) | (ndr1_0 & c2_1(a1001) & c3_1(a1001) & (~c1_1(a1001)))) & ((~hskp2) | (ndr1_0 & c0_1(a1002) & c2_1(a1002) & (~c1_1(a1002)))) & ((~hskp3) | (ndr1_0 & c1_1(a1003) & (~c0_1(a1003)) & (~c2_1(a1003)))) & ((~hskp4) | (ndr1_0 & c1_1(a1004) & c2_1(a1004) & (~c3_1(a1004)))) & ((~hskp5) | (ndr1_0 & (~c1_1(a1005)) & (~c2_1(a1005)) & (~c3_1(a1005)))) & ((~hskp6) | (ndr1_0 & c0_1(a1006) & c3_1(a1006) & (~c2_1(a1006)))) & ((~hskp7) | (ndr1_0 & c2_1(a1008) & (~c1_1(a1008)) & (~c3_1(a1008)))) & ((~hskp8) | (ndr1_0 & c0_1(a1010) & c3_1(a1010) & (~c1_1(a1010)))) & ((~hskp9) | (ndr1_0 & c0_1(a1011) & c1_1(a1011) & (~c2_1(a1011)))) & ((~hskp10) | (ndr1_0 & c0_1(a1012) & (~c1_1(a1012)) & (~c3_1(a1012)))) & ((~hskp11) | (ndr1_0 & c3_1(a1015) & (~c0_1(a1015)) & (~c1_1(a1015)))) & ((~hskp12) | (ndr1_0 & c1_1(a1019) & c2_1(a1019) & (~c0_1(a1019)))) & ((~hskp13) | (ndr1_0 & c3_1(a1023) & (~c1_1(a1023)) & (~c2_1(a1023)))) & ((~hskp14) | (ndr1_0 & c0_1(a1025) & (~c2_1(a1025)) & (~c3_1(a1025)))) & ((~hskp15) | (ndr1_0 & c2_1(a1026) & (~c0_1(a1026)) & (~c1_1(a1026)))) & ((~hskp16) | (ndr1_0 & c1_1(a1030) & (~c2_1(a1030)) & (~c3_1(a1030)))) & ((~hskp17) | (ndr1_0 & c2_1(a1032) & c3_1(a1032) & (~c0_1(a1032)))) & ((~hskp18) | (ndr1_0 & c1_1(a1036) & c3_1(a1036) & (~c2_1(a1036)))) & ((~hskp19) | (ndr1_0 & (~c0_1(a1037)) & (~c1_1(a1037)) & (~c3_1(a1037)))) & ((~hskp20) | (ndr1_0 & (~c0_1(a1038)) & (~c1_1(a1038)) & (~c2_1(a1038)))) & ((~hskp21) | (ndr1_0 & c2_1(a1041) & (~c0_1(a1041)) & (~c3_1(a1041)))) & ((~hskp22) | (ndr1_0 & c0_1(a1043) & (~c1_1(a1043)) & (~c2_1(a1043)))) & ((~hskp23) | (ndr1_0 & c0_1(a1044) & c1_1(a1044) & (~c3_1(a1044)))) & ((~hskp24) | (ndr1_0 & c1_1(a1045) & c3_1(a1045) & (~c0_1(a1045)))) & ((~hskp25) | (ndr1_0 & c1_1(a1048) & (~c0_1(a1048)) & (~c3_1(a1048)))) & ((~hskp26) | (ndr1_0 & c3_1(a1052) & (~c0_1(a1052)) & (~c2_1(a1052)))) & ((~hskp27) | (ndr1_0 & c0_1(a1029) & c2_1(a1029) & c3_1(a1029))) & ((~hskp28) | (ndr1_0 & c0_1(a1033) & c1_1(a1033) & c2_1(a1033))) & ((~hskp29) | (ndr1_0 & c0_1(a1040) & c1_1(a1040) & c3_1(a1040))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp2 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c1_1(Z) | c3_1(Z) | (~ndr1_0))) & (![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c1_1(X2) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0)) | ![X3: $i] : (c2_1(X3) | (~c0_1(X3)) | (~c1_1(X3)) | (~ndr1_0))) & (hskp3 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c2_1(X4)) | (~ndr1_0)) | ![X5: $i] : (c2_1(X5) | c3_1(X5) | (~c1_1(X5)) | (~ndr1_0))) & (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) & (![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0))) & (hskp5 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0)) | ![X12: $i] : ((~c2_1(X12)) | (~c0_1(X12)) | (~c1_1(X12)) | (~ndr1_0))) & (![X13: $i] : (c2_1(X13) | c0_1(X13) | c3_1(X13) | (~ndr1_0)) | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0))) & (hskp6 | ![X16: $i] : (c2_1(X16) | c0_1(X16) | c3_1(X16) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c3_1(X17)) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | c3_1(X20) | (~c0_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | (~c2_1(X19)) | c3_1(X19) | (~ndr1_0))) & (hskp0 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c0_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp7 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c1_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp4 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c1_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c0_1(X26)) | (~ndr1_0))) & (hskp8 | ![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c1_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c1_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0))) & (hskp9 | hskp10 | ![X29: $i] : (c2_1(X29) | c0_1(X29) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp8 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c1_1(X30)) | (~ndr1_0))) & (hskp11 | ![X31: $i] : (c0_1(X31) | c3_1(X31) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0))) & (![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c2_1(X34) | c1_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c2_1(X35)) | (~c3_1(X35)) | (~c1_1(X35)) | (~ndr1_0))) & (hskp7 | ![X36: $i] : (c0_1(X36) | c3_1(X36) | (~c1_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c1_1(X37) | (~c2_1(X37)) | c3_1(X37) | (~ndr1_0))) & (![X38: $i] : (c0_1(X38) | c3_1(X38) | (~c1_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c3_1(X39)) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : ((~c2_1(X40)) | c3_1(X40) | (~c0_1(X40)) | (~ndr1_0))) & (hskp6 | ![X41: $i] : (c0_1(X41) | c3_1(X41) | (~c1_1(X41)) | (~ndr1_0)) | ![X42: $i] : ((~c2_1(X42)) | (~c3_1(X42)) | (~c0_1(X42)) | (~ndr1_0))) & (hskp6 | hskp12 | ![X43: $i] : (c0_1(X43) | c3_1(X43) | (~c1_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c0_1(X44) | (~c2_1(X44)) | c3_1(X44) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | c3_1(X46) | (~c0_1(X46)) | (~ndr1_0)) | ![X45: $i] : (c1_1(X45) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp11 | ![X47: $i] : (c0_1(X47) | (~c2_1(X47)) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c1_1(X48) | (~c3_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X49: $i] : (c0_1(X49) | (~c2_1(X49)) | c3_1(X49) | (~ndr1_0))) & (hskp13 | ![X50: $i] : (c0_1(X50) | (~c2_1(X50)) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (hskp8 | ![X52: $i] : (c0_1(X52) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c3_1(X53)) | (~ndr1_0))) & (hskp14 | ![X54: $i] : (c0_1(X54) | (~c2_1(X54)) | (~c1_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (![X56: $i] : (c0_1(X56) | (~c3_1(X56)) | (~c1_1(X56)) | (~ndr1_0)) | ![X58: $i] : ((~c2_1(X58)) | (~c3_1(X58)) | (~c1_1(X58)) | (~ndr1_0)) | ![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp15 | ![X59: $i] : (c0_1(X59) | (~c3_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c0_1(X60)) | (~ndr1_0))) & (hskp9 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c3_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp13 | ![X63: $i] : (c2_1(X63) | c1_1(X63) | c3_1(X63) | (~ndr1_0)) | ![X64: $i] : (c1_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp27 | ![X65: $i] : (c2_1(X65) | c1_1(X65) | c3_1(X65) | (~ndr1_0)) | ![X66: $i] : (c1_1(X66) | (~c2_1(X66)) | (~c0_1(X66)) | (~ndr1_0))) & (hskp16 | ![X67: $i] : (c2_1(X67) | c1_1(X67) | c3_1(X67) | (~ndr1_0)) | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c1_1(X68)) | (~ndr1_0))) & (hskp12 | ![X69: $i] : (c2_1(X69) | c1_1(X69) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c0_1(X70)) | (~ndr1_0))) & (hskp17 | ![X71: $i] : (c2_1(X71) | c1_1(X71) | c3_1(X71) | (~ndr1_0)) | ![X72: $i] : (c3_1(X72) | (~c0_1(X72)) | (~c1_1(X72)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X73: $i] : (c2_1(X73) | c1_1(X73) | (~c3_1(X73)) | (~ndr1_0))) & (hskp10 | hskp18 | ![X74: $i] : (c2_1(X74) | c1_1(X74) | (~c3_1(X74)) | (~ndr1_0))) & (hskp19 | ![X75: $i] : (c1_1(X75) | c3_1(X75) | (~c0_1(X75)) | (~ndr1_0)) | ![X76: $i] : (c1_1(X76) | (~c2_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp20 | ![X77: $i] : (c1_1(X77) | c3_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c2_1(X78) | c3_1(X78) | (~c0_1(X78)) | (~ndr1_0))) & (hskp10 | ![X79: $i] : (c1_1(X79) | c3_1(X79) | (~c0_1(X79)) | (~ndr1_0)) | ![X80: $i] : ((~c2_1(X80)) | c3_1(X80) | (~c1_1(X80)) | (~ndr1_0))) & (hskp21 | hskp29 | ![X81: $i] : (c1_1(X81) | c3_1(X81) | (~c0_1(X81)) | (~ndr1_0))) & (hskp6 | ![X82: $i] : (c1_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0)) | ![X83: $i] : (c1_1(X83) | (~c2_1(X83)) | (~c3_1(X83)) | (~ndr1_0))) & (hskp22 | ![X84: $i] : (c1_1(X84) | (~c3_1(X84)) | (~c0_1(X84)) | (~ndr1_0)) | ![X85: $i] : (c2_1(X85) | c3_1(X85) | (~c1_1(X85)) | (~ndr1_0))) & (![X86: $i] : (c1_1(X86) | (~c3_1(X86)) | (~c0_1(X86)) | (~ndr1_0)) | ![X87: $i] : (c2_1(X87) | (~c0_1(X87)) | (~c1_1(X87)) | (~ndr1_0)) | ![X88: $i] : ((~c2_1(X88)) | (~c3_1(X88)) | (~c1_1(X88)) | (~ndr1_0))) & (hskp23 | ![X89: $i] : (c1_1(X89) | (~c3_1(X89)) | (~c0_1(X89)) | (~ndr1_0))) & (hskp15 | hskp24 | ![X90: $i] : (c1_1(X90) | (~c3_1(X90)) | (~c0_1(X90)) | (~ndr1_0))) & (![X91: $i] : (c1_1(X91) | (~c2_1(X91)) | (~c3_1(X91)) | (~ndr1_0)) | ![X92: $i] : (c2_1(X92) | (~c3_1(X92)) | (~c0_1(X92)) | (~ndr1_0)) | ![X93: $i] : ((~c2_1(X93)) | c3_1(X93) | (~c1_1(X93)) | (~ndr1_0))) & (hskp3 | hskp25 | ![X94: $i] : (c2_1(X94) | c3_1(X94) | (~c0_1(X94)) | (~ndr1_0))) & (hskp15 | ![X95: $i] : (c2_1(X95) | c3_1(X95) | (~c1_1(X95)) | (~ndr1_0)) | ![X96: $i] : ((~c2_1(X96)) | c3_1(X96) | (~c0_1(X96)) | (~ndr1_0))) & (hskp6 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | (~c1_1(X97)) | (~ndr1_0)) | ![X98: $i] : ((~c2_1(X98)) | (~c3_1(X98)) | (~c0_1(X98)) | (~ndr1_0))) & (hskp8 | hskp26 | ![X99: $i] : (c2_1(X99) | (~c0_1(X99)) | (~c1_1(X99)) | (~ndr1_0))) & (hskp6 | hskp13 | ![X100: $i] : (c2_1(X100) | (~c0_1(X100)) | (~c1_1(X100)) | (~ndr1_0))) & (hskp3 | hskp23 | ![X101: $i] : (c2_1(X101) | (~c3_1(X101)) | (~c0_1(X101)) | (~ndr1_0))) & (hskp6 | hskp22 | ![X102: $i] : (c2_1(X102) | (~c3_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp4 | hskp19 | ![X103: $i] : (c3_1(X103) | (~c0_1(X103)) | (~c1_1(X103)) | (~ndr1_0))) & (hskp17 | ![X104: $i] : ((~c2_1(X104)) | c3_1(X104) | (~c0_1(X104)) | (~ndr1_0)) | ![X105: $i] : ((~c2_1(X105)) | (~c0_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp4 | hskp23 | ![X106: $i] : ((~c2_1(X106)) | c3_1(X106) | (~c1_1(X106)) | (~ndr1_0))) & (hskp9 | hskp12 | ![X107: $i] : ((~c2_1(X107)) | (~c0_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp7 | ![X108: $i] : ((~c2_1(X108)) | (~c0_1(X108)) | (~c1_1(X108)) | (~ndr1_0))) & (hskp3 | hskp24 | ![X109: $i] : ((~c2_1(X109)) | (~c3_1(X109)) | (~c0_1(X109)) | (~ndr1_0))) & (hskp19 | hskp26 | ![X110: $i] : ((~c2_1(X110)) | (~c3_1(X110)) | (~c0_1(X110)) | (~ndr1_0))) & (hskp13 | hskp23 | hskp29) & (hskp5 | hskp12 | hskp29) & (hskp3 | hskp26 | hskp29) & (hskp18 | hskp20 | hskp23) & (hskp6 | hskp14 | hskp27) & (hskp7 | hskp26 | hskp27) & (hskp12 | hskp14 | hskp22) & (hskp4 | hskp7 | hskp21) & (hskp19 | hskp24 | hskp25))),
% 0.19/0.53 inference(transitivity,[status(thm)],[9, 7])).
% 0.19/0.53 tff(11,axiom,(~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c0_1(a1000)) & c2_1(a1000)) & (~c3_1(a1000)))) & ((~hskp1) | (((ndr1_0 & c2_1(a1001)) & c3_1(a1001)) & (~c1_1(a1001))))) & ((~hskp2) | (((ndr1_0 & c0_1(a1002)) & c2_1(a1002)) & (~c1_1(a1002))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1003)) & (~c0_1(a1003))) & (~c2_1(a1003))))) & ((~hskp4) | (((ndr1_0 & c1_1(a1004)) & c2_1(a1004)) & (~c3_1(a1004))))) & ((~hskp5) | (((ndr1_0 & (~c1_1(a1005))) & (~c2_1(a1005))) & (~c3_1(a1005))))) & ((~hskp6) | (((ndr1_0 & c0_1(a1006)) & c3_1(a1006)) & (~c2_1(a1006))))) & ((~hskp7) | (((ndr1_0 & c2_1(a1008)) & (~c1_1(a1008))) & (~c3_1(a1008))))) & ((~hskp8) | (((ndr1_0 & c0_1(a1010)) & c3_1(a1010)) & (~c1_1(a1010))))) & ((~hskp9) | (((ndr1_0 & c0_1(a1011)) & c1_1(a1011)) & (~c2_1(a1011))))) & ((~hskp10) | (((ndr1_0 & c0_1(a1012)) & (~c1_1(a1012))) & (~c3_1(a1012))))) & ((~hskp11) | (((ndr1_0 & c3_1(a1015)) & (~c0_1(a1015))) & (~c1_1(a1015))))) & ((~hskp12) | (((ndr1_0 & c1_1(a1019)) & c2_1(a1019)) & (~c0_1(a1019))))) & ((~hskp13) | (((ndr1_0 & c3_1(a1023)) & (~c1_1(a1023))) & (~c2_1(a1023))))) & ((~hskp14) | (((ndr1_0 & c0_1(a1025)) & (~c2_1(a1025))) & (~c3_1(a1025))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1026)) & (~c0_1(a1026))) & (~c1_1(a1026))))) & ((~hskp16) | (((ndr1_0 & c1_1(a1030)) & (~c2_1(a1030))) & (~c3_1(a1030))))) & ((~hskp17) | (((ndr1_0 & c2_1(a1032)) & c3_1(a1032)) & (~c0_1(a1032))))) & ((~hskp18) | (((ndr1_0 & c1_1(a1036)) & c3_1(a1036)) & (~c2_1(a1036))))) & ((~hskp19) | (((ndr1_0 & (~c0_1(a1037))) & (~c1_1(a1037))) & (~c3_1(a1037))))) & ((~hskp20) | (((ndr1_0 & (~c0_1(a1038))) & (~c1_1(a1038))) & (~c2_1(a1038))))) & ((~hskp21) | (((ndr1_0 & c2_1(a1041)) & (~c0_1(a1041))) & (~c3_1(a1041))))) & ((~hskp22) | (((ndr1_0 & c0_1(a1043)) & (~c1_1(a1043))) & (~c2_1(a1043))))) & ((~hskp23) | (((ndr1_0 & c0_1(a1044)) & c1_1(a1044)) & (~c3_1(a1044))))) & ((~hskp24) | (((ndr1_0 & c1_1(a1045)) & c3_1(a1045)) & (~c0_1(a1045))))) & ((~hskp25) | (((ndr1_0 & c1_1(a1048)) & (~c0_1(a1048))) & (~c3_1(a1048))))) & ((~hskp26) | (((ndr1_0 & c3_1(a1052)) & (~c0_1(a1052))) & (~c2_1(a1052))))) & ((~hskp27) | (((ndr1_0 & c0_1(a1029)) & c2_1(a1029)) & c3_1(a1029)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1033)) & c1_1(a1033)) & c2_1(a1033)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1040)) & c1_1(a1040)) & c3_1(a1040)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp0) | hskp1)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c2_1(Z)) | c3_1(Z)))) | hskp2)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => ((c1_1(X2) | (~c0_1(X2))) | (~c2_1(X2))))) | ![X3: $i] : (ndr1_0 => ((c2_1(X3) | (~c0_1(X3))) | (~c1_1(X3)))))) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c2_1(X4)))) | ![X5: $i] : (ndr1_0 => ((c2_1(X5) | c3_1(X5)) | (~c1_1(X5))))) | hskp3)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | (~c0_1(X7))) | (~c3_1(X7))))) | hskp4)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9))))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c2_1(X10)))))) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | ![X12: $i] : (ndr1_0 => (((~c0_1(X12)) | (~c1_1(X12))) | (~c2_1(X12))))) | hskp5)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c2_1(X13)) | c3_1(X13))) | ![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14))))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15))))) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | c3_1(X16))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp6)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c2_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | c3_1(X20)) | (~c0_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c0_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp0)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c1_1(X24) | c2_1(X24)) | (~c3_1(X24))))) | hskp7)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c1_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c0_1(X26))))) | hskp4)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c1_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c1_1(X28) | c3_1(X28)) | (~c2_1(X28))))) | hskp8)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | c2_1(X29)) | (~c1_1(X29)))) | hskp9) | hskp10)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c1_1(X30)))) | hskp8) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | c3_1(X31)) | (~c1_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32))))) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c1_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c2_1(X34)) | (~c3_1(X34))))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35)))))) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | c3_1(X36)) | (~c1_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c1_1(X37) | c3_1(X37)) | (~c2_1(X37))))) | hskp7)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | c3_1(X38)) | (~c1_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c3_1(X39))))) | ![X40: $i] : (ndr1_0 => ((c3_1(X40) | (~c0_1(X40))) | (~c2_1(X40)))))) & ((![X41: $i] : (ndr1_0 => ((c0_1(X41) | c3_1(X41)) | (~c1_1(X41)))) | ![X42: $i] : (ndr1_0 => (((~c0_1(X42)) | (~c2_1(X42))) | (~c3_1(X42))))) | hskp6)) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | c3_1(X43)) | (~c1_1(X43)))) | hskp6) | hskp12)) & ((![X44: $i] : (ndr1_0 => ((c0_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c1_1(X45) | (~c0_1(X45))) | (~c2_1(X45))))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | c3_1(X46)) | (~c0_1(X46)))))) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | (~c0_1(X48))) | (~c3_1(X48))))) | hskp11)) & ((![X49: $i] : (ndr1_0 => ((c0_1(X49) | c3_1(X49)) | (~c2_1(X49)))) | hskp2) | hskp1)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | (~c1_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51))))) | hskp13)) & ((![X52: $i] : (ndr1_0 => ((c0_1(X52) | (~c1_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c2_1(X53))) | (~c3_1(X53))))) | hskp8)) & ((![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c2_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c0_1(X55))) | (~c3_1(X55))))) | hskp14)) & ((![X56: $i] : (ndr1_0 => ((c0_1(X56) | (~c1_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => ((c0_1(X57) | (~c2_1(X57))) | (~c3_1(X57))))) | ![X58: $i] : (ndr1_0 => (((~c1_1(X58)) | (~c2_1(X58))) | (~c3_1(X58)))))) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c3_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60))))) | hskp15)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c1_1(X62))))) | hskp9)) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | c2_1(X63)) | c3_1(X63))) | ![X64: $i] : (ndr1_0 => ((c1_1(X64) | c3_1(X64)) | (~c0_1(X64))))) | hskp13)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | c2_1(X65)) | c3_1(X65))) | ![X66: $i] : (ndr1_0 => ((c1_1(X66) | (~c0_1(X66))) | (~c2_1(X66))))) | hskp27)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | c2_1(X67)) | c3_1(X67))) | ![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c1_1(X68))))) | hskp16)) & ((![X69: $i] : (ndr1_0 => ((c1_1(X69) | c2_1(X69)) | c3_1(X69))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c3_1(X70))))) | hskp12)) & ((![X71: $i] : (ndr1_0 => ((c1_1(X71) | c2_1(X71)) | c3_1(X71))) | ![X72: $i] : (ndr1_0 => ((c3_1(X72) | (~c0_1(X72))) | (~c1_1(X72))))) | hskp17)) & ((![X73: $i] : (ndr1_0 => ((c1_1(X73) | c2_1(X73)) | (~c3_1(X73)))) | hskp28) | hskp8)) & ((![X74: $i] : (ndr1_0 => ((c1_1(X74) | c2_1(X74)) | (~c3_1(X74)))) | hskp10) | hskp18)) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c3_1(X75)) | (~c0_1(X75)))) | ![X76: $i] : (ndr1_0 => ((c1_1(X76) | (~c0_1(X76))) | (~c2_1(X76))))) | hskp19)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c3_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c2_1(X78) | c3_1(X78)) | (~c0_1(X78))))) | hskp20)) & ((![X79: $i] : (ndr1_0 => ((c1_1(X79) | c3_1(X79)) | (~c0_1(X79)))) | ![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c1_1(X80))) | (~c2_1(X80))))) | hskp10)) & ((![X81: $i] : (ndr1_0 => ((c1_1(X81) | c3_1(X81)) | (~c0_1(X81)))) | hskp29) | hskp21)) & ((![X82: $i] : (ndr1_0 => ((c1_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | ![X83: $i] : (ndr1_0 => ((c1_1(X83) | (~c2_1(X83))) | (~c3_1(X83))))) | hskp6)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | (~c0_1(X84))) | (~c3_1(X84)))) | ![X85: $i] : (ndr1_0 => ((c2_1(X85) | c3_1(X85)) | (~c1_1(X85))))) | hskp22)) & ((![X86: $i] : (ndr1_0 => ((c1_1(X86) | (~c0_1(X86))) | (~c3_1(X86)))) | ![X87: $i] : (ndr1_0 => ((c2_1(X87) | (~c0_1(X87))) | (~c1_1(X87))))) | ![X88: $i] : (ndr1_0 => (((~c1_1(X88)) | (~c2_1(X88))) | (~c3_1(X88)))))) & (![X89: $i] : (ndr1_0 => ((c1_1(X89) | (~c0_1(X89))) | (~c3_1(X89)))) | hskp23)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | (~c0_1(X90))) | (~c3_1(X90)))) | hskp24) | hskp15)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c2_1(X91))) | (~c3_1(X91)))) | ![X92: $i] : (ndr1_0 => ((c2_1(X92) | (~c0_1(X92))) | (~c3_1(X92))))) | ![X93: $i] : (ndr1_0 => ((c3_1(X93) | (~c1_1(X93))) | (~c2_1(X93)))))) & ((![X94: $i] : (ndr1_0 => ((c2_1(X94) | c3_1(X94)) | (~c0_1(X94)))) | hskp3) | hskp25)) & ((![X95: $i] : (ndr1_0 => ((c2_1(X95) | c3_1(X95)) | (~c1_1(X95)))) | ![X96: $i] : (ndr1_0 => ((c3_1(X96) | (~c0_1(X96))) | (~c2_1(X96))))) | hskp15)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | (~c0_1(X97))) | (~c1_1(X97)))) | ![X98: $i] : (ndr1_0 => (((~c0_1(X98)) | (~c2_1(X98))) | (~c3_1(X98))))) | hskp6)) & ((![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c0_1(X99))) | (~c1_1(X99)))) | hskp8) | hskp26)) & ((![X100: $i] : (ndr1_0 => ((c2_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))) | hskp6) | hskp13)) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c3_1(X101)))) | hskp23) | hskp3)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c1_1(X102))) | (~c3_1(X102)))) | hskp6) | hskp22)) & ((![X103: $i] : (ndr1_0 => ((c3_1(X103) | (~c0_1(X103))) | (~c1_1(X103)))) | hskp4) | hskp19)) & ((![X104: $i] : (ndr1_0 => ((c3_1(X104) | (~c0_1(X104))) | (~c2_1(X104)))) | ![X105: $i] : (ndr1_0 => (((~c0_1(X105)) | (~c1_1(X105))) | (~c2_1(X105))))) | hskp17)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c1_1(X106))) | (~c2_1(X106)))) | hskp23) | hskp4)) & ((![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c2_1(X107)))) | hskp9) | hskp12)) & (![X108: $i] : (ndr1_0 => (((~c0_1(X108)) | (~c1_1(X108))) | (~c2_1(X108)))) | hskp7)) & ((![X109: $i] : (ndr1_0 => (((~c0_1(X109)) | (~c2_1(X109))) | (~c3_1(X109)))) | hskp24) | hskp3)) & ((![X110: $i] : (ndr1_0 => (((~c0_1(X110)) | (~c2_1(X110))) | (~c3_1(X110)))) | hskp26) | hskp19)) & ((hskp29 | hskp23) | hskp13)) & ((hskp29 | hskp12) | hskp5)) & ((hskp29 | hskp3) | hskp26)) & ((hskp23 | hskp18) | hskp20)) & ((hskp27 | hskp6) | hskp14)) & ((hskp27 | hskp7) | hskp26)) & ((hskp22 | hskp14) | hskp12)) & ((hskp4 | hskp21) | hskp7)) & ((hskp24 | hskp25) | hskp19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co1')).
% 0.19/0.54 tff(12,plain,
% 0.19/0.54 (((~hskp0) | (ndr1_0 & c0_1(a1000) & c2_1(a1000) & (~c3_1(a1000)))) & ((~hskp1) | (ndr1_0 & c2_1(a1001) & c3_1(a1001) & (~c1_1(a1001)))) & ((~hskp2) | (ndr1_0 & c0_1(a1002) & c2_1(a1002) & (~c1_1(a1002)))) & ((~hskp3) | (ndr1_0 & c1_1(a1003) & (~c0_1(a1003)) & (~c2_1(a1003)))) & ((~hskp4) | (ndr1_0 & c1_1(a1004) & c2_1(a1004) & (~c3_1(a1004)))) & ((~hskp5) | (ndr1_0 & (~c1_1(a1005)) & (~c2_1(a1005)) & (~c3_1(a1005)))) & ((~hskp6) | (ndr1_0 & c0_1(a1006) & c3_1(a1006) & (~c2_1(a1006)))) & ((~hskp7) | (ndr1_0 & c2_1(a1008) & (~c1_1(a1008)) & (~c3_1(a1008)))) & ((~hskp8) | (ndr1_0 & c0_1(a1010) & c3_1(a1010) & (~c1_1(a1010)))) & ((~hskp9) | (ndr1_0 & c0_1(a1011) & c1_1(a1011) & (~c2_1(a1011)))) & ((~hskp10) | (ndr1_0 & c0_1(a1012) & (~c1_1(a1012)) & (~c3_1(a1012)))) & ((~hskp11) | (ndr1_0 & c3_1(a1015) & (~c0_1(a1015)) & (~c1_1(a1015)))) & ((~hskp12) | (ndr1_0 & c1_1(a1019) & c2_1(a1019) & (~c0_1(a1019)))) & ((~hskp13) | (ndr1_0 & c3_1(a1023) & (~c1_1(a1023)) & (~c2_1(a1023)))) & ((~hskp14) | (ndr1_0 & c0_1(a1025) & (~c2_1(a1025)) & (~c3_1(a1025)))) & ((~hskp15) | (ndr1_0 & c2_1(a1026) & (~c0_1(a1026)) & (~c1_1(a1026)))) & ((~hskp16) | (ndr1_0 & c1_1(a1030) & (~c2_1(a1030)) & (~c3_1(a1030)))) & ((~hskp17) | (ndr1_0 & c2_1(a1032) & c3_1(a1032) & (~c0_1(a1032)))) & ((~hskp18) | (ndr1_0 & c1_1(a1036) & c3_1(a1036) & (~c2_1(a1036)))) & ((~hskp19) | (ndr1_0 & (~c0_1(a1037)) & (~c1_1(a1037)) & (~c3_1(a1037)))) & ((~hskp20) | (ndr1_0 & (~c0_1(a1038)) & (~c1_1(a1038)) & (~c2_1(a1038)))) & ((~hskp21) | (ndr1_0 & c2_1(a1041) & (~c0_1(a1041)) & (~c3_1(a1041)))) & ((~hskp22) | (ndr1_0 & c0_1(a1043) & (~c1_1(a1043)) & (~c2_1(a1043)))) & ((~hskp23) | (ndr1_0 & c0_1(a1044) & c1_1(a1044) & (~c3_1(a1044)))) & ((~hskp24) | (ndr1_0 & c1_1(a1045) & c3_1(a1045) & (~c0_1(a1045)))) & ((~hskp25) | (ndr1_0 & c1_1(a1048) & (~c0_1(a1048)) & (~c3_1(a1048)))) & ((~hskp26) | (ndr1_0 & c3_1(a1052) & (~c0_1(a1052)) & (~c2_1(a1052)))) & ((~hskp27) | (ndr1_0 & c0_1(a1029) & c2_1(a1029) & c3_1(a1029))) & ((~hskp28) | (ndr1_0 & c0_1(a1033) & c1_1(a1033) & c2_1(a1033))) & ((~hskp29) | (ndr1_0 & c0_1(a1040) & c1_1(a1040) & c3_1(a1040))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp2 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c1_1(Z) | c3_1(Z) | (~ndr1_0))) & (![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c1_1(X2) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0)) | ![X3: $i] : (c2_1(X3) | (~c0_1(X3)) | (~c1_1(X3)) | (~ndr1_0))) & (hskp3 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c2_1(X4)) | (~ndr1_0)) | ![X5: $i] : (c2_1(X5) | c3_1(X5) | (~c1_1(X5)) | (~ndr1_0))) & (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))) & (![X10: $i] : (c1_1(X10) | (~c2_1(X10)) | c3_1(X10) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0))) & (hskp5 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0)) | ![X12: $i] : ((~c2_1(X12)) | (~c0_1(X12)) | (~c1_1(X12)) | (~ndr1_0))) & (![X13: $i] : (c2_1(X13) | c0_1(X13) | c3_1(X13) | (~ndr1_0)) | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0))) & (hskp6 | ![X16: $i] : (c2_1(X16) | c0_1(X16) | c3_1(X16) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c3_1(X17)) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | c3_1(X20) | (~c0_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | (~c2_1(X19)) | c3_1(X19) | (~ndr1_0))) & (hskp0 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c0_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp7 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c1_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp4 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c1_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c0_1(X26)) | (~ndr1_0))) & (hskp8 | ![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c1_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c1_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0))) & (hskp9 | hskp10 | ![X29: $i] : (c2_1(X29) | c0_1(X29) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp8 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c1_1(X30)) | (~ndr1_0))) & (hskp11 | ![X31: $i] : (c0_1(X31) | c3_1(X31) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0))) & (![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c2_1(X34) | c1_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c2_1(X35)) | (~c3_1(X35)) | (~c1_1(X35)) | (~ndr1_0))) & (hskp7 | ![X36: $i] : (c0_1(X36) | c3_1(X36) | (~c1_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c1_1(X37) | (~c2_1(X37)) | c3_1(X37) | (~ndr1_0))) & (![X38: $i] : (c0_1(X38) | c3_1(X38) | (~c1_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c3_1(X39)) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : ((~c2_1(X40)) | c3_1(X40) | (~c0_1(X40)) | (~ndr1_0))) & (hskp6 | ![X41: $i] : (c0_1(X41) | c3_1(X41) | (~c1_1(X41)) | (~ndr1_0)) | ![X42: $i] : ((~c2_1(X42)) | (~c3_1(X42)) | (~c0_1(X42)) | (~ndr1_0))) & (hskp6 | hskp12 | ![X43: $i] : (c0_1(X43) | c3_1(X43) | (~c1_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c0_1(X44) | (~c2_1(X44)) | c3_1(X44) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | c3_1(X46) | (~c0_1(X46)) | (~ndr1_0)) | ![X45: $i] : (c1_1(X45) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp11 | ![X47: $i] : (c0_1(X47) | (~c2_1(X47)) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c1_1(X48) | (~c3_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X49: $i] : (c0_1(X49) | (~c2_1(X49)) | c3_1(X49) | (~ndr1_0))) & (hskp13 | ![X50: $i] : (c0_1(X50) | (~c2_1(X50)) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (hskp8 | ![X52: $i] : (c0_1(X52) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c3_1(X53)) | (~ndr1_0))) & (hskp14 | ![X54: $i] : (c0_1(X54) | (~c2_1(X54)) | (~c1_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (![X56: $i] : (c0_1(X56) | (~c3_1(X56)) | (~c1_1(X56)) | (~ndr1_0)) | ![X58: $i] : ((~c2_1(X58)) | (~c3_1(X58)) | (~c1_1(X58)) | (~ndr1_0)) | ![X57: $i] : (c0_1(X57) | (~c2_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp15 | ![X59: $i] : (c0_1(X59) | (~c3_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c0_1(X60)) | (~ndr1_0))) & (hskp9 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c3_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp13 | ![X63: $i] : (c2_1(X63) | c1_1(X63) | c3_1(X63) | (~ndr1_0)) | ![X64: $i] : (c1_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp27 | ![X65: $i] : (c2_1(X65) | c1_1(X65) | c3_1(X65) | (~ndr1_0)) | ![X66: $i] : (c1_1(X66) | (~c2_1(X66)) | (~c0_1(X66)) | (~ndr1_0))) & (hskp16 | ![X67: $i] : (c2_1(X67) | c1_1(X67) | c3_1(X67) | (~ndr1_0)) | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c1_1(X68)) | (~ndr1_0))) & (hskp12 | ![X69: $i] : (c2_1(X69) | c1_1(X69) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c0_1(X70)) | (~ndr1_0))) & (hskp17 | ![X71: $i] : (c2_1(X71) | c1_1(X71) | c3_1(X71) | (~ndr1_0)) | ![X72: $i] : (c3_1(X72) | (~c0_1(X72)) | (~c1_1(X72)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X73: $i] : (c2_1(X73) | c1_1(X73) | (~c3_1(X73)) | (~ndr1_0))) & (hskp10 | hskp18 | ![X74: $i] : (c2_1(X74) | c1_1(X74) | (~c3_1(X74)) | (~ndr1_0))) & (hskp19 | ![X75: $i] : (c1_1(X75) | c3_1(X75) | (~c0_1(X75)) | (~ndr1_0)) | ![X76: $i] : (c1_1(X76) | (~c2_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp20 | ![X77: $i] : (c1_1(X77) | c3_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c2_1(X78) | c3_1(X78) | (~c0_1(X78)) | (~ndr1_0))) & (hskp10 | ![X79: $i] : (c1_1(X79) | c3_1(X79) | (~c0_1(X79)) | (~ndr1_0)) | ![X80: $i] : ((~c2_1(X80)) | c3_1(X80) | (~c1_1(X80)) | (~ndr1_0))) & (hskp21 | hskp29 | ![X81: $i] : (c1_1(X81) | c3_1(X81) | (~c0_1(X81)) | (~ndr1_0))) & (hskp6 | ![X82: $i] : (c1_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0)) | ![X83: $i] : (c1_1(X83) | (~c2_1(X83)) | (~c3_1(X83)) | (~ndr1_0))) & (hskp22 | ![X84: $i] : (c1_1(X84) | (~c3_1(X84)) | (~c0_1(X84)) | (~ndr1_0)) | ![X85: $i] : (c2_1(X85) | c3_1(X85) | (~c1_1(X85)) | (~ndr1_0))) & (![X86: $i] : (c1_1(X86) | (~c3_1(X86)) | (~c0_1(X86)) | (~ndr1_0)) | ![X87: $i] : (c2_1(X87) | (~c0_1(X87)) | (~c1_1(X87)) | (~ndr1_0)) | ![X88: $i] : ((~c2_1(X88)) | (~c3_1(X88)) | (~c1_1(X88)) | (~ndr1_0))) & (hskp23 | ![X89: $i] : (c1_1(X89) | (~c3_1(X89)) | (~c0_1(X89)) | (~ndr1_0))) & (hskp15 | hskp24 | ![X90: $i] : (c1_1(X90) | (~c3_1(X90)) | (~c0_1(X90)) | (~ndr1_0))) & (![X91: $i] : (c1_1(X91) | (~c2_1(X91)) | (~c3_1(X91)) | (~ndr1_0)) | ![X92: $i] : (c2_1(X92) | (~c3_1(X92)) | (~c0_1(X92)) | (~ndr1_0)) | ![X93: $i] : ((~c2_1(X93)) | c3_1(X93) | (~c1_1(X93)) | (~ndr1_0))) & (hskp3 | hskp25 | ![X94: $i] : (c2_1(X94) | c3_1(X94) | (~c0_1(X94)) | (~ndr1_0))) & (hskp15 | ![X95: $i] : (c2_1(X95) | c3_1(X95) | (~c1_1(X95)) | (~ndr1_0)) | ![X96: $i] : ((~c2_1(X96)) | c3_1(X96) | (~c0_1(X96)) | (~ndr1_0))) & (hskp6 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | (~c1_1(X97)) | (~ndr1_0)) | ![X98: $i] : ((~c2_1(X98)) | (~c3_1(X98)) | (~c0_1(X98)) | (~ndr1_0))) & (hskp8 | hskp26 | ![X99: $i] : (c2_1(X99) | (~c0_1(X99)) | (~c1_1(X99)) | (~ndr1_0))) & (hskp6 | hskp13 | ![X100: $i] : (c2_1(X100) | (~c0_1(X100)) | (~c1_1(X100)) | (~ndr1_0))) & (hskp3 | hskp23 | ![X101: $i] : (c2_1(X101) | (~c3_1(X101)) | (~c0_1(X101)) | (~ndr1_0))) & (hskp6 | hskp22 | ![X102: $i] : (c2_1(X102) | (~c3_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp4 | hskp19 | ![X103: $i] : (c3_1(X103) | (~c0_1(X103)) | (~c1_1(X103)) | (~ndr1_0))) & (hskp17 | ![X104: $i] : ((~c2_1(X104)) | c3_1(X104) | (~c0_1(X104)) | (~ndr1_0)) | ![X105: $i] : ((~c2_1(X105)) | (~c0_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp4 | hskp23 | ![X106: $i] : ((~c2_1(X106)) | c3_1(X106) | (~c1_1(X106)) | (~ndr1_0))) & (hskp9 | hskp12 | ![X107: $i] : ((~c2_1(X107)) | (~c0_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp7 | ![X108: $i] : ((~c2_1(X108)) | (~c0_1(X108)) | (~c1_1(X108)) | (~ndr1_0))) & (hskp3 | hskp24 | ![X109: $i] : ((~c2_1(X109)) | (~c3_1(X109)) | (~c0_1(X109)) | (~ndr1_0))) & (hskp19 | hskp26 | ![X110: $i] : ((~c2_1(X110)) | (~c3_1(X110)) | (~c0_1(X110)) | (~ndr1_0))) & (hskp13 | hskp23 | hskp29) & (hskp5 | hskp12 | hskp29) & (hskp3 | hskp26 | hskp29) & (hskp18 | hskp20 | hskp23) & (hskp6 | hskp14 | hskp27) & (hskp7 | hskp26 | hskp27) & (hskp12 | hskp14 | hskp22) & (hskp4 | hskp7 | hskp21) & (hskp19 | hskp24 | hskp25)),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.43/0.55 tff(13,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(and_elim,[status(thm)],[12])).
% 0.43/0.55 tff(14,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.43/0.55 tff(15,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[14, 6])).
% 0.43/0.55 tff(16,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[15, 6])).
% 0.43/0.55 tff(17,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[16, 6])).
% 0.43/0.55 tff(18,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[17, 6])).
% 0.43/0.55 tff(19,plain,
% 0.43/0.55 (hskp4 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | (~c3_1(X7)) | (~c0_1(X7)) | (~ndr1_0))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[18, 6])).
% 0.43/0.55 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------