TSTP Solution File: SYN454+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN454+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 23:55:32 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN454+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 03:55:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.47 % SZS status Theorem
% 0.20/0.47 % SZS output start Proof
% 0.20/0.47 tff(ndr1_0_type, type, (
% 0.20/0.47 ndr1_0: $o)).
% 0.20/0.47 tff(c1_1_type, type, (
% 0.20/0.47 c1_1: $i > $o)).
% 0.20/0.47 tff(c3_1_type, type, (
% 0.20/0.47 c3_1: $i > $o)).
% 0.20/0.47 tff(c2_1_type, type, (
% 0.20/0.47 c2_1: $i > $o)).
% 0.20/0.47 tff(a106_type, type, (
% 0.20/0.47 a106: $i)).
% 0.20/0.47 tff(hskp10_type, type, (
% 0.20/0.47 hskp10: $o)).
% 0.20/0.47 tff(c0_1_type, type, (
% 0.20/0.47 c0_1: $i > $o)).
% 0.20/0.47 tff(a102_type, type, (
% 0.20/0.47 a102: $i)).
% 0.20/0.47 tff(a133_type, type, (
% 0.20/0.47 a133: $i)).
% 0.20/0.47 tff(hskp20_type, type, (
% 0.20/0.47 hskp20: $o)).
% 0.20/0.47 tff(a115_type, type, (
% 0.20/0.47 a115: $i)).
% 0.20/0.47 tff(hskp14_type, type, (
% 0.20/0.47 hskp14: $o)).
% 0.20/0.47 tff(a109_type, type, (
% 0.20/0.47 a109: $i)).
% 0.20/0.47 tff(a101_type, type, (
% 0.20/0.47 a101: $i)).
% 0.20/0.47 tff(hskp5_type, type, (
% 0.20/0.47 hskp5: $o)).
% 0.20/0.47 tff(a105_type, type, (
% 0.20/0.47 a105: $i)).
% 0.20/0.47 tff(hskp19_type, type, (
% 0.20/0.47 hskp19: $o)).
% 0.20/0.47 tff(a127_type, type, (
% 0.20/0.47 a127: $i)).
% 0.20/0.47 tff(a112_type, type, (
% 0.20/0.47 a112: $i)).
% 0.20/0.47 tff(hskp13_type, type, (
% 0.20/0.47 hskp13: $o)).
% 0.20/0.47 tff(hskp22_type, type, (
% 0.20/0.47 hskp22: $o)).
% 0.20/0.47 tff(hskp17_type, type, (
% 0.20/0.47 hskp17: $o)).
% 0.20/0.47 tff(hskp15_type, type, (
% 0.20/0.47 hskp15: $o)).
% 0.20/0.47 tff(hskp6_type, type, (
% 0.20/0.47 hskp6: $o)).
% 0.20/0.47 tff(hskp29_type, type, (
% 0.20/0.48 hskp29: $o)).
% 0.20/0.48 tff(hskp24_type, type, (
% 0.20/0.48 hskp24: $o)).
% 0.20/0.48 tff(hskp11_type, type, (
% 0.20/0.48 hskp11: $o)).
% 0.20/0.48 tff(hskp3_type, type, (
% 0.20/0.48 hskp3: $o)).
% 0.20/0.48 tff(hskp1_type, type, (
% 0.20/0.48 hskp1: $o)).
% 0.20/0.48 tff(hskp12_type, type, (
% 0.20/0.48 hskp12: $o)).
% 0.20/0.48 tff(hskp21_type, type, (
% 0.20/0.48 hskp21: $o)).
% 0.20/0.48 tff(hskp16_type, type, (
% 0.20/0.48 hskp16: $o)).
% 0.20/0.48 tff(hskp8_type, type, (
% 0.20/0.48 hskp8: $o)).
% 0.20/0.48 tff(hskp0_type, type, (
% 0.20/0.48 hskp0: $o)).
% 0.20/0.48 tff(hskp9_type, type, (
% 0.20/0.48 hskp9: $o)).
% 0.20/0.48 tff(hskp2_type, type, (
% 0.20/0.48 hskp2: $o)).
% 0.20/0.48 tff(hskp25_type, type, (
% 0.20/0.48 hskp25: $o)).
% 0.20/0.48 tff(hskp18_type, type, (
% 0.20/0.48 hskp18: $o)).
% 0.20/0.48 tff(hskp23_type, type, (
% 0.20/0.48 hskp23: $o)).
% 0.20/0.48 tff(hskp26_type, type, (
% 0.20/0.48 hskp26: $o)).
% 0.20/0.48 tff(hskp28_type, type, (
% 0.20/0.48 hskp28: $o)).
% 0.20/0.48 tff(hskp4_type, type, (
% 0.20/0.48 hskp4: $o)).
% 0.20/0.48 tff(hskp7_type, type, (
% 0.20/0.48 hskp7: $o)).
% 0.20/0.48 tff(hskp27_type, type, (
% 0.20/0.48 hskp27: $o)).
% 0.20/0.48 tff(a165_type, type, (
% 0.20/0.48 a165: $i)).
% 0.20/0.48 tff(a142_type, type, (
% 0.20/0.48 a142: $i)).
% 0.20/0.48 tff(a95_type, type, (
% 0.20/0.48 a95: $i)).
% 0.20/0.48 tff(a94_type, type, (
% 0.20/0.48 a94: $i)).
% 0.20/0.48 tff(a159_type, type, (
% 0.20/0.48 a159: $i)).
% 0.20/0.48 tff(a153_type, type, (
% 0.20/0.48 a153: $i)).
% 0.20/0.48 tff(a152_type, type, (
% 0.20/0.48 a152: $i)).
% 0.20/0.48 tff(a149_type, type, (
% 0.20/0.48 a149: $i)).
% 0.20/0.48 tff(a145_type, type, (
% 0.20/0.48 a145: $i)).
% 0.20/0.48 tff(a125_type, type, (
% 0.20/0.48 a125: $i)).
% 0.20/0.48 tff(a124_type, type, (
% 0.20/0.48 a124: $i)).
% 0.20/0.48 tff(a118_type, type, (
% 0.20/0.48 a118: $i)).
% 0.20/0.48 tff(a116_type, type, (
% 0.20/0.48 a116: $i)).
% 0.20/0.48 tff(a110_type, type, (
% 0.20/0.48 a110: $i)).
% 0.20/0.48 tff(a104_type, type, (
% 0.20/0.48 a104: $i)).
% 0.20/0.48 tff(a103_type, type, (
% 0.20/0.48 a103: $i)).
% 0.20/0.48 tff(a100_type, type, (
% 0.20/0.48 a100: $i)).
% 0.20/0.48 tff(a99_type, type, (
% 0.20/0.48 a99: $i)).
% 0.20/0.48 tff(a98_type, type, (
% 0.20/0.48 a98: $i)).
% 0.20/0.48 tff(a97_type, type, (
% 0.20/0.48 a97: $i)).
% 0.20/0.48 tff(a96_type, type, (
% 0.20/0.48 a96: $i)).
% 0.20/0.48 tff(1,assumption,(~hskp10), introduced(assumption)).
% 0.20/0.48 tff(2,assumption,(~hskp14), introduced(assumption)).
% 0.20/0.48 tff(3,assumption,(~hskp20), introduced(assumption)).
% 0.20/0.48 tff(4,assumption,(~hskp5), introduced(assumption)).
% 0.20/0.48 tff(5,assumption,(~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.48 tff(6,assumption,(~(c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112)))), introduced(assumption)).
% 0.20/0.48 tff(7,assumption,(![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.48 tff(8,plain,
% 0.20/0.48 ((c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112))) | c3_1(a112)),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(9,plain,
% 0.20/0.48 (c3_1(a112)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[8, 6])).
% 0.20/0.48 tff(10,plain,
% 0.20/0.48 ((c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112))) | c0_1(a112)),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(11,plain,
% 0.20/0.48 (c0_1(a112)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[10, 6])).
% 0.20/0.48 tff(12,plain,
% 0.20/0.48 ((c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112))) | (~c1_1(a112))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(13,plain,
% 0.20/0.48 (~c1_1(a112)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[12, 6])).
% 0.20/0.48 tff(14,assumption,(~ndr1_0), introduced(assumption)).
% 0.20/0.48 tff(15,plain,
% 0.20/0.48 ((c2_1(a133) | (~ndr1_0) | (~c0_1(a133)) | (~c3_1(a133))) | ndr1_0),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(16,plain,
% 0.20/0.48 (c2_1(a133) | (~ndr1_0) | (~c0_1(a133)) | (~c3_1(a133))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.20/0.48 tff(17,plain,
% 0.20/0.48 (((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) <=> ((~hskp20) | (~(c2_1(a133) | (~ndr1_0) | (~c0_1(a133)) | (~c3_1(a133)))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(18,plain,
% 0.20/0.48 (((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) <=> ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(19,plain,
% 0.20/0.48 ((~(~(((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) & ((~hskp1) | (ndr1_0 & c2_1(a97) & c3_1(a97) & (~c1_1(a97)))) & ((~hskp2) | (ndr1_0 & c1_1(a98) & (~c0_1(a98)) & (~c3_1(a98)))) & ((~hskp3) | (ndr1_0 & c2_1(a99) & (~c1_1(a99)) & (~c3_1(a99)))) & ((~hskp4) | (ndr1_0 & c2_1(a100) & (~c0_1(a100)) & (~c1_1(a100)))) & ((~hskp5) | (ndr1_0 & c3_1(a101) & (~c1_1(a101)) & (~c2_1(a101)))) & ((~hskp6) | (ndr1_0 & c1_1(a102) & c2_1(a102) & (~c3_1(a102)))) & ((~hskp7) | (ndr1_0 & c0_1(a103) & (~c1_1(a103)) & (~c3_1(a103)))) & ((~hskp8) | (ndr1_0 & (~c0_1(a104)) & (~c2_1(a104)) & (~c3_1(a104)))) & ((~hskp9) | (ndr1_0 & c0_1(a105) & c2_1(a105) & (~c1_1(a105)))) & ((~hskp10) | (ndr1_0 & c1_1(a106) & c3_1(a106) & (~c2_1(a106)))) & ((~hskp11) | (ndr1_0 & c2_1(a109) & (~c0_1(a109)) & (~c3_1(a109)))) & ((~hskp12) | (ndr1_0 & c2_1(a110) & c3_1(a110) & (~c0_1(a110)))) & ((~hskp13) | (ndr1_0 & c0_1(a112) & c3_1(a112) & (~c1_1(a112)))) & ((~hskp14) | (ndr1_0 & c0_1(a115) & (~c2_1(a115)) & (~c3_1(a115)))) & ((~hskp15) | (ndr1_0 & c1_1(a116) & c3_1(a116) & (~c0_1(a116)))) & ((~hskp16) | (ndr1_0 & c1_1(a118) & (~c2_1(a118)) & (~c3_1(a118)))) & ((~hskp17) | (ndr1_0 & (~c0_1(a124)) & (~c1_1(a124)) & (~c3_1(a124)))) & ((~hskp18) | (ndr1_0 & c0_1(a125) & c1_1(a125) & (~c3_1(a125)))) & ((~hskp19) | (ndr1_0 & c0_1(a127) & c2_1(a127) & (~c3_1(a127)))) & ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) & ((~hskp21) | (ndr1_0 & c3_1(a145) & (~c0_1(a145)) & (~c2_1(a145)))) & ((~hskp22) | (ndr1_0 & c3_1(a149) & (~c0_1(a149)) & (~c1_1(a149)))) & ((~hskp23) | (ndr1_0 & c0_1(a152) & c1_1(a152) & (~c2_1(a152)))) & ((~hskp24) | (ndr1_0 & c1_1(a153) & (~c0_1(a153)) & (~c2_1(a153)))) & ((~hskp25) | (ndr1_0 & c0_1(a159) & (~c1_1(a159)) & (~c2_1(a159)))) & ((~hskp26) | (ndr1_0 & c0_1(a94) & c1_1(a94) & c2_1(a94))) & ((~hskp27) | (ndr1_0 & c0_1(a95) & c2_1(a95) & c3_1(a95))) & ((~hskp28) | (ndr1_0 & c0_1(a142) & c1_1(a142) & c3_1(a142))) & ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c3_1(W) | (~c2_1(W)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp0 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | (~c1_1(Z)) | (~c0_1(Z)) | (~ndr1_0))) & (hskp1 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : ((~c3_1(X2)) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c3_1(X3)) | (~ndr1_0))) & (hskp4 | hskp5 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c3_1(X4)) | (~ndr1_0))) & (hskp6 | ![X5: $i] : (c2_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c0_1(X6) | (~c1_1(X6)) | (~ndr1_0))) & (hskp7 | ![X7: $i] : (c2_1(X7) | c0_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c0_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c0_1(X10) | (~c3_1(X10)) | (~c2_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c1_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (hskp8 | ![X12: $i] : (c2_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c3_1(X13)) | (~c1_1(X13)) | (~c0_1(X13)) | (~ndr1_0))) & (hskp9 | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c3_1(X15) | (~c0_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | (~c3_1(X17)) | (~c0_1(X17)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | (~c3_1(X18)) | (~c1_1(X18)) | (~ndr1_0))) & (![X19: $i] : (c0_1(X19) | c3_1(X19) | (~c2_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c1_1(X20)) | (~c2_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c0_1(X21) | (~c3_1(X21)) | (~c1_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c0_1(X22) | c3_1(X22) | (~c2_1(X22)) | (~ndr1_0)) | ![X23: $i] : (c2_1(X23) | c1_1(X23) | c3_1(X23) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp10 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c2_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c2_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c2_1(X28) | (~c3_1(X28)) | (~c0_1(X28)) | (~ndr1_0)) | ![X29: $i] : ((~c1_1(X29)) | (~c2_1(X29)) | (~c0_1(X29)) | (~ndr1_0))) & (hskp1 | ![X30: $i] : (c0_1(X30) | (~c1_1(X30)) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : ((~c3_1(X31)) | (~c2_1(X31)) | (~c0_1(X31)) | (~ndr1_0))) & (hskp11 | hskp26 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp12 | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c1_1(X34) | c3_1(X34) | (~c0_1(X34)) | (~ndr1_0))) & (hskp3 | ![X35: $i] : (c2_1(X35) | c1_1(X35) | c3_1(X35) | (~ndr1_0)) | ![X36: $i] : ((~c3_1(X36)) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X37: $i] : (c2_1(X37) | c1_1(X37) | c3_1(X37) | (~ndr1_0))) & (hskp1 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X41: $i] : (c2_1(X41) | (~c3_1(X41)) | (~c1_1(X41)) | (~ndr1_0)) | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c3_1(X40)) | (~ndr1_0))) & (hskp14 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | c1_1(X43) | (~c3_1(X43)) | (~ndr1_0))) & (hskp15 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0)) | ![X45: $i] : (c2_1(X45) | (~c3_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0)) | ![X47: $i] : (c2_1(X47) | (~c1_1(X47)) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c1_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) & (hskp10 | ![X51: $i] : (c1_1(X51) | c3_1(X51) | (~c2_1(X51)) | (~ndr1_0)) | ![X52: $i] : (c3_1(X52) | (~c1_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp16 | ![X53: $i] : (c1_1(X53) | (~c3_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c1_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (hskp8 | hskp16 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp17 | hskp26 | ![X57: $i] : (c1_1(X57) | (~c3_1(X57)) | (~c2_1(X57)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c2_1(X58)) | (~ndr1_0))) & (hskp5 | hskp19 | ![X59: $i] : (c1_1(X59) | (~c3_1(X59)) | (~c2_1(X59)) | (~ndr1_0))) & (hskp13 | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c2_1(X60)) | (~ndr1_0))) & (hskp4 | hskp6 | ![X61: $i] : (c1_1(X61) | (~c3_1(X61)) | (~c2_1(X61)) | (~ndr1_0))) & (hskp8 | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c0_1(X62)) | (~ndr1_0)) | ![X63: $i] : ((~c3_1(X63)) | (~c2_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp10 | hskp20 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp5 | hskp12 | ![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c0_1(X65)) | (~ndr1_0))) & (hskp1 | hskp17 | ![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) & (hskp5 | ![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c1_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c2_1(X69) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c0_1(X71)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X72: $i] : (c2_1(X72) | (~c1_1(X72)) | (~c0_1(X72)) | (~ndr1_0))) & (hskp18 | hskp28 | ![X73: $i] : (c3_1(X73) | (~c1_1(X73)) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | hskp21 | ![X74: $i] : (c3_1(X74) | (~c1_1(X74)) | (~c2_1(X74)) | (~ndr1_0))) & (hskp1 | hskp26 | ![X75: $i] : ((~c3_1(X75)) | (~c2_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp9 | hskp22 | ![X76: $i] : ((~c3_1(X76)) | (~c1_1(X76)) | (~c2_1(X76)) | (~ndr1_0))) & (hskp8 | hskp12 | ![X77: $i] : ((~c3_1(X77)) | (~c1_1(X77)) | (~c2_1(X77)) | (~ndr1_0))) & (hskp16 | hskp23 | hskp24) & (hskp13 | hskp18 | hskp19) & (hskp17 | hskp18 | hskp25) & (hskp2 | hskp9 | hskp14) & (hskp0 | hskp20 | hskp29) & (hskp3 | hskp8 | hskp20) & (hskp14 | hskp16 | hskp21) & (hskp11 | hskp12 | hskp14) & (hskp1 | hskp3 | hskp14) & (hskp11 | hskp24 | hskp29) & (hskp6 | hskp17 | hskp22) & (hskp15 | hskp17 | hskp22)))) <=> (((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) & ((~hskp1) | (ndr1_0 & c2_1(a97) & c3_1(a97) & (~c1_1(a97)))) & ((~hskp2) | (ndr1_0 & c1_1(a98) & (~c0_1(a98)) & (~c3_1(a98)))) & ((~hskp3) | (ndr1_0 & c2_1(a99) & (~c1_1(a99)) & (~c3_1(a99)))) & ((~hskp4) | (ndr1_0 & c2_1(a100) & (~c0_1(a100)) & (~c1_1(a100)))) & ((~hskp5) | (ndr1_0 & c3_1(a101) & (~c1_1(a101)) & (~c2_1(a101)))) & ((~hskp6) | (ndr1_0 & c1_1(a102) & c2_1(a102) & (~c3_1(a102)))) & ((~hskp7) | (ndr1_0 & c0_1(a103) & (~c1_1(a103)) & (~c3_1(a103)))) & ((~hskp8) | (ndr1_0 & (~c0_1(a104)) & (~c2_1(a104)) & (~c3_1(a104)))) & ((~hskp9) | (ndr1_0 & c0_1(a105) & c2_1(a105) & (~c1_1(a105)))) & ((~hskp10) | (ndr1_0 & c1_1(a106) & c3_1(a106) & (~c2_1(a106)))) & ((~hskp11) | (ndr1_0 & c2_1(a109) & (~c0_1(a109)) & (~c3_1(a109)))) & ((~hskp12) | (ndr1_0 & c2_1(a110) & c3_1(a110) & (~c0_1(a110)))) & ((~hskp13) | (ndr1_0 & c0_1(a112) & c3_1(a112) & (~c1_1(a112)))) & ((~hskp14) | (ndr1_0 & c0_1(a115) & (~c2_1(a115)) & (~c3_1(a115)))) & ((~hskp15) | (ndr1_0 & c1_1(a116) & c3_1(a116) & (~c0_1(a116)))) & ((~hskp16) | (ndr1_0 & c1_1(a118) & (~c2_1(a118)) & (~c3_1(a118)))) & ((~hskp17) | (ndr1_0 & (~c0_1(a124)) & (~c1_1(a124)) & (~c3_1(a124)))) & ((~hskp18) | (ndr1_0 & c0_1(a125) & c1_1(a125) & (~c3_1(a125)))) & ((~hskp19) | (ndr1_0 & c0_1(a127) & c2_1(a127) & (~c3_1(a127)))) & ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) & ((~hskp21) | (ndr1_0 & c3_1(a145) & (~c0_1(a145)) & (~c2_1(a145)))) & ((~hskp22) | (ndr1_0 & c3_1(a149) & (~c0_1(a149)) & (~c1_1(a149)))) & ((~hskp23) | (ndr1_0 & c0_1(a152) & c1_1(a152) & (~c2_1(a152)))) & ((~hskp24) | (ndr1_0 & c1_1(a153) & (~c0_1(a153)) & (~c2_1(a153)))) & ((~hskp25) | (ndr1_0 & c0_1(a159) & (~c1_1(a159)) & (~c2_1(a159)))) & ((~hskp26) | (ndr1_0 & c0_1(a94) & c1_1(a94) & c2_1(a94))) & ((~hskp27) | (ndr1_0 & c0_1(a95) & c2_1(a95) & c3_1(a95))) & ((~hskp28) | (ndr1_0 & c0_1(a142) & c1_1(a142) & c3_1(a142))) & ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c3_1(W) | (~c2_1(W)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp0 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | (~c1_1(Z)) | (~c0_1(Z)) | (~ndr1_0))) & (hskp1 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : ((~c3_1(X2)) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c3_1(X3)) | (~ndr1_0))) & (hskp4 | hskp5 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c3_1(X4)) | (~ndr1_0))) & (hskp6 | ![X5: $i] : (c2_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c0_1(X6) | (~c1_1(X6)) | (~ndr1_0))) & (hskp7 | ![X7: $i] : (c2_1(X7) | c0_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c0_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c0_1(X10) | (~c3_1(X10)) | (~c2_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c1_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (hskp8 | ![X12: $i] : (c2_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c3_1(X13)) | (~c1_1(X13)) | (~c0_1(X13)) | (~ndr1_0))) & (hskp9 | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c3_1(X15) | (~c0_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | (~c3_1(X17)) | (~c0_1(X17)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | (~c3_1(X18)) | (~c1_1(X18)) | (~ndr1_0))) & (![X19: $i] : (c0_1(X19) | c3_1(X19) | (~c2_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c1_1(X20)) | (~c2_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c0_1(X21) | (~c3_1(X21)) | (~c1_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c0_1(X22) | c3_1(X22) | (~c2_1(X22)) | (~ndr1_0)) | ![X23: $i] : (c2_1(X23) | c1_1(X23) | c3_1(X23) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp10 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c2_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c2_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c2_1(X28) | (~c3_1(X28)) | (~c0_1(X28)) | (~ndr1_0)) | ![X29: $i] : ((~c1_1(X29)) | (~c2_1(X29)) | (~c0_1(X29)) | (~ndr1_0))) & (hskp1 | ![X30: $i] : (c0_1(X30) | (~c1_1(X30)) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : ((~c3_1(X31)) | (~c2_1(X31)) | (~c0_1(X31)) | (~ndr1_0))) & (hskp11 | hskp26 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp12 | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c1_1(X34) | c3_1(X34) | (~c0_1(X34)) | (~ndr1_0))) & (hskp3 | ![X35: $i] : (c2_1(X35) | c1_1(X35) | c3_1(X35) | (~ndr1_0)) | ![X36: $i] : ((~c3_1(X36)) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X37: $i] : (c2_1(X37) | c1_1(X37) | c3_1(X37) | (~ndr1_0))) & (hskp1 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X41: $i] : (c2_1(X41) | (~c3_1(X41)) | (~c1_1(X41)) | (~ndr1_0)) | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c3_1(X40)) | (~ndr1_0))) & (hskp14 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | c1_1(X43) | (~c3_1(X43)) | (~ndr1_0))) & (hskp15 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0)) | ![X45: $i] : (c2_1(X45) | (~c3_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0)) | ![X47: $i] : (c2_1(X47) | (~c1_1(X47)) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c1_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) & (hskp10 | ![X51: $i] : (c1_1(X51) | c3_1(X51) | (~c2_1(X51)) | (~ndr1_0)) | ![X52: $i] : (c3_1(X52) | (~c1_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp16 | ![X53: $i] : (c1_1(X53) | (~c3_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c1_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (hskp8 | hskp16 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp17 | hskp26 | ![X57: $i] : (c1_1(X57) | (~c3_1(X57)) | (~c2_1(X57)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c2_1(X58)) | (~ndr1_0))) & (hskp5 | hskp19 | ![X59: $i] : (c1_1(X59) | (~c3_1(X59)) | (~c2_1(X59)) | (~ndr1_0))) & (hskp13 | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c2_1(X60)) | (~ndr1_0))) & (hskp4 | hskp6 | ![X61: $i] : (c1_1(X61) | (~c3_1(X61)) | (~c2_1(X61)) | (~ndr1_0))) & (hskp8 | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c0_1(X62)) | (~ndr1_0)) | ![X63: $i] : ((~c3_1(X63)) | (~c2_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp10 | hskp20 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp5 | hskp12 | ![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c0_1(X65)) | (~ndr1_0))) & (hskp1 | hskp17 | ![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) & (hskp5 | ![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c1_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c2_1(X69) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c0_1(X71)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X72: $i] : (c2_1(X72) | (~c1_1(X72)) | (~c0_1(X72)) | (~ndr1_0))) & (hskp18 | hskp28 | ![X73: $i] : (c3_1(X73) | (~c1_1(X73)) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | hskp21 | ![X74: $i] : (c3_1(X74) | (~c1_1(X74)) | (~c2_1(X74)) | (~ndr1_0))) & (hskp1 | hskp26 | ![X75: $i] : ((~c3_1(X75)) | (~c2_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp9 | hskp22 | ![X76: $i] : ((~c3_1(X76)) | (~c1_1(X76)) | (~c2_1(X76)) | (~ndr1_0))) & (hskp8 | hskp12 | ![X77: $i] : ((~c3_1(X77)) | (~c1_1(X77)) | (~c2_1(X77)) | (~ndr1_0))) & (hskp16 | hskp23 | hskp24) & (hskp13 | hskp18 | hskp19) & (hskp17 | hskp18 | hskp25) & (hskp2 | hskp9 | hskp14) & (hskp0 | hskp20 | hskp29) & (hskp3 | hskp8 | hskp20) & (hskp14 | hskp16 | hskp21) & (hskp11 | hskp12 | hskp14) & (hskp1 | hskp3 | hskp14) & (hskp11 | hskp24 | hskp29) & (hskp6 | hskp17 | hskp22) & (hskp15 | hskp17 | hskp22))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(20,plain,
% 0.20/0.49 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a96))) & (~c2_1(a96))) & (~c3_1(a96)))) & ((~hskp1) | (((ndr1_0 & c2_1(a97)) & c3_1(a97)) & (~c1_1(a97))))) & ((~hskp2) | (((ndr1_0 & c1_1(a98)) & (~c0_1(a98))) & (~c3_1(a98))))) & ((~hskp3) | (((ndr1_0 & c2_1(a99)) & (~c1_1(a99))) & (~c3_1(a99))))) & ((~hskp4) | (((ndr1_0 & c2_1(a100)) & (~c0_1(a100))) & (~c1_1(a100))))) & ((~hskp5) | (((ndr1_0 & c3_1(a101)) & (~c1_1(a101))) & (~c2_1(a101))))) & ((~hskp6) | (((ndr1_0 & c1_1(a102)) & c2_1(a102)) & (~c3_1(a102))))) & ((~hskp7) | (((ndr1_0 & c0_1(a103)) & (~c1_1(a103))) & (~c3_1(a103))))) & ((~hskp8) | (((ndr1_0 & (~c0_1(a104))) & (~c2_1(a104))) & (~c3_1(a104))))) & ((~hskp9) | (((ndr1_0 & c0_1(a105)) & c2_1(a105)) & (~c1_1(a105))))) & ((~hskp10) | (((ndr1_0 & c1_1(a106)) & c3_1(a106)) & (~c2_1(a106))))) & ((~hskp11) | (((ndr1_0 & c2_1(a109)) & (~c0_1(a109))) & (~c3_1(a109))))) & ((~hskp12) | (((ndr1_0 & c2_1(a110)) & c3_1(a110)) & (~c0_1(a110))))) & ((~hskp13) | (((ndr1_0 & c0_1(a112)) & c3_1(a112)) & (~c1_1(a112))))) & ((~hskp14) | (((ndr1_0 & c0_1(a115)) & (~c2_1(a115))) & (~c3_1(a115))))) & ((~hskp15) | (((ndr1_0 & c1_1(a116)) & c3_1(a116)) & (~c0_1(a116))))) & ((~hskp16) | (((ndr1_0 & c1_1(a118)) & (~c2_1(a118))) & (~c3_1(a118))))) & ((~hskp17) | (((ndr1_0 & (~c0_1(a124))) & (~c1_1(a124))) & (~c3_1(a124))))) & ((~hskp18) | (((ndr1_0 & c0_1(a125)) & c1_1(a125)) & (~c3_1(a125))))) & ((~hskp19) | (((ndr1_0 & c0_1(a127)) & c2_1(a127)) & (~c3_1(a127))))) & ((~hskp20) | (((ndr1_0 & c0_1(a133)) & c3_1(a133)) & (~c2_1(a133))))) & ((~hskp21) | (((ndr1_0 & c3_1(a145)) & (~c0_1(a145))) & (~c2_1(a145))))) & ((~hskp22) | (((ndr1_0 & c3_1(a149)) & (~c0_1(a149))) & (~c1_1(a149))))) & ((~hskp23) | (((ndr1_0 & c0_1(a152)) & c1_1(a152)) & (~c2_1(a152))))) & ((~hskp24) | (((ndr1_0 & c1_1(a153)) & (~c0_1(a153))) & (~c2_1(a153))))) & ((~hskp25) | (((ndr1_0 & c0_1(a159)) & (~c1_1(a159))) & (~c2_1(a159))))) & ((~hskp26) | (((ndr1_0 & c0_1(a94)) & c1_1(a94)) & c2_1(a94)))) & ((~hskp27) | (((ndr1_0 & c0_1(a95)) & c2_1(a95)) & c3_1(a95)))) & ((~hskp28) | (((ndr1_0 & c0_1(a142)) & c1_1(a142)) & c3_1(a142)))) & ((~hskp29) | (((ndr1_0 & c1_1(a165)) & c2_1(a165)) & c3_1(a165)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | (~c1_1(V))) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c2_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp26) | hskp27)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c2_1(Z) | (~c0_1(Z))) | (~c1_1(Z))))) | hskp0)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => (((~c0_1(X2)) | (~c2_1(X2))) | (~c3_1(X2))))) | hskp1)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c3_1(X3)))) | hskp2) | hskp3)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c3_1(X4)))) | hskp4) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c2_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c0_1(X6) | c2_1(X6)) | (~c1_1(X6))))) | hskp6)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c2_1(X7)) | (~c1_1(X7)))) | ![X8: $i] : (ndr1_0 => ((c0_1(X8) | (~c2_1(X8))) | (~c3_1(X8))))) | hskp7)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | (~c2_1(X10))) | (~c3_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c1_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c2_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c0_1(X13)) | (~c1_1(X13))) | (~c3_1(X13))))) | hskp8)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | c3_1(X15)) | (~c0_1(X15))))) | hskp9)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c2_1(X17) | (~c0_1(X17))) | (~c3_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c2_1(X18) | (~c1_1(X18))) | (~c3_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c3_1(X19)) | (~c2_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c2_1(X20))))) | ![X21: $i] : (ndr1_0 => ((c0_1(X21) | (~c1_1(X21))) | (~c3_1(X21)))))) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c3_1(X22)) | (~c2_1(X22)))) | ![X23: $i] : (ndr1_0 => ((c1_1(X23) | c2_1(X23)) | c3_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c2_1(X24) | c3_1(X24)) | (~c1_1(X24)))))) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c2_1(X26))))) | hskp10)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c2_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c2_1(X28) | (~c0_1(X28))) | (~c3_1(X28))))) | ![X29: $i] : (ndr1_0 => (((~c0_1(X29)) | (~c1_1(X29))) | (~c2_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | ![X31: $i] : (ndr1_0 => (((~c0_1(X31)) | (~c2_1(X31))) | (~c3_1(X31))))) | hskp1)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp26) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c3_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c3_1(X34)) | (~c0_1(X34))))) | hskp12)) & ((![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | c3_1(X35))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c2_1(X36))) | (~c3_1(X36))))) | hskp3)) & ((![X37: $i] : (ndr1_0 => ((c1_1(X37) | c2_1(X37)) | c3_1(X37))) | hskp13) | hskp3)) & (![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp1)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c3_1(X40))))) | ![X41: $i] : (ndr1_0 => ((c2_1(X41) | (~c1_1(X41))) | (~c3_1(X41)))))) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | (~c3_1(X43))))) | hskp14)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c2_1(X45) | (~c0_1(X45))) | (~c3_1(X45))))) | hskp15)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | ![X47: $i] : (ndr1_0 => ((c2_1(X47) | (~c0_1(X47))) | (~c1_1(X47))))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c1_1(X48))) | (~c3_1(X48)))))) & (![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c3_1(X51)) | (~c2_1(X51)))) | ![X52: $i] : (ndr1_0 => ((c3_1(X52) | (~c0_1(X52))) | (~c1_1(X52))))) | hskp10)) & ((![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c1_1(X54))))) | hskp16)) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | (~c0_1(X55))) | (~c3_1(X55)))) | hskp14) | hskp10)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | hskp16) | hskp8)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | (~c2_1(X57))) | (~c3_1(X57)))) | hskp26) | hskp17)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58)))) | hskp18) | hskp14)) & ((![X59: $i] : (ndr1_0 => ((c1_1(X59) | (~c2_1(X59))) | (~c3_1(X59)))) | hskp19) | hskp5)) & (![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c2_1(X60))) | (~c3_1(X60)))) | hskp13)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | hskp6) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c0_1(X62)))) | ![X63: $i] : (ndr1_0 => (((~c0_1(X63)) | (~c2_1(X63))) | (~c3_1(X63))))) | hskp8)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp20) | hskp10)) & ((![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c0_1(X65)))) | hskp12) | hskp5)) & ((![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | hskp1) | hskp17)) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c1_1(X68))) | (~c2_1(X68))))) | hskp5)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | (~c0_1(X69))) | (~c1_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c1_1(X70))) | (~c3_1(X70))))) | ![X71: $i] : (ndr1_0 => (((~c0_1(X71)) | (~c1_1(X71))) | (~c3_1(X71)))))) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | (~c0_1(X72))) | (~c1_1(X72)))) | hskp6) | hskp3)) & ((![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c1_1(X73))) | (~c2_1(X73)))) | hskp28) | hskp18)) & ((![X74: $i] : (ndr1_0 => ((c3_1(X74) | (~c1_1(X74))) | (~c2_1(X74)))) | hskp12) | hskp21)) & ((![X75: $i] : (ndr1_0 => (((~c0_1(X75)) | (~c2_1(X75))) | (~c3_1(X75)))) | hskp26) | hskp1)) & ((![X76: $i] : (ndr1_0 => (((~c1_1(X76)) | (~c2_1(X76))) | (~c3_1(X76)))) | hskp9) | hskp22)) & ((![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77)))) | hskp12) | hskp8)) & ((hskp23 | hskp24) | hskp16)) & ((hskp18 | hskp19) | hskp13)) & ((hskp18 | hskp25) | hskp17)) & ((hskp9 | hskp14) | hskp2)) & ((hskp20 | hskp29) | hskp0)) & ((hskp20 | hskp3) | hskp8)) & ((hskp14 | hskp16) | hskp21)) & ((hskp14 | hskp12) | hskp11)) & ((hskp14 | hskp1) | hskp3)) & ((hskp29 | hskp24) | hskp11)) & ((hskp6 | hskp22) | hskp17)) & ((hskp15 | hskp22) | hskp17))) <=> (~(((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) & ((~hskp1) | (ndr1_0 & c2_1(a97) & c3_1(a97) & (~c1_1(a97)))) & ((~hskp2) | (ndr1_0 & c1_1(a98) & (~c0_1(a98)) & (~c3_1(a98)))) & ((~hskp3) | (ndr1_0 & c2_1(a99) & (~c1_1(a99)) & (~c3_1(a99)))) & ((~hskp4) | (ndr1_0 & c2_1(a100) & (~c0_1(a100)) & (~c1_1(a100)))) & ((~hskp5) | (ndr1_0 & c3_1(a101) & (~c1_1(a101)) & (~c2_1(a101)))) & ((~hskp6) | (ndr1_0 & c1_1(a102) & c2_1(a102) & (~c3_1(a102)))) & ((~hskp7) | (ndr1_0 & c0_1(a103) & (~c1_1(a103)) & (~c3_1(a103)))) & ((~hskp8) | (ndr1_0 & (~c0_1(a104)) & (~c2_1(a104)) & (~c3_1(a104)))) & ((~hskp9) | (ndr1_0 & c0_1(a105) & c2_1(a105) & (~c1_1(a105)))) & ((~hskp10) | (ndr1_0 & c1_1(a106) & c3_1(a106) & (~c2_1(a106)))) & ((~hskp11) | (ndr1_0 & c2_1(a109) & (~c0_1(a109)) & (~c3_1(a109)))) & ((~hskp12) | (ndr1_0 & c2_1(a110) & c3_1(a110) & (~c0_1(a110)))) & ((~hskp13) | (ndr1_0 & c0_1(a112) & c3_1(a112) & (~c1_1(a112)))) & ((~hskp14) | (ndr1_0 & c0_1(a115) & (~c2_1(a115)) & (~c3_1(a115)))) & ((~hskp15) | (ndr1_0 & c1_1(a116) & c3_1(a116) & (~c0_1(a116)))) & ((~hskp16) | (ndr1_0 & c1_1(a118) & (~c2_1(a118)) & (~c3_1(a118)))) & ((~hskp17) | (ndr1_0 & (~c0_1(a124)) & (~c1_1(a124)) & (~c3_1(a124)))) & ((~hskp18) | (ndr1_0 & c0_1(a125) & c1_1(a125) & (~c3_1(a125)))) & ((~hskp19) | (ndr1_0 & c0_1(a127) & c2_1(a127) & (~c3_1(a127)))) & ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) & ((~hskp21) | (ndr1_0 & c3_1(a145) & (~c0_1(a145)) & (~c2_1(a145)))) & ((~hskp22) | (ndr1_0 & c3_1(a149) & (~c0_1(a149)) & (~c1_1(a149)))) & ((~hskp23) | (ndr1_0 & c0_1(a152) & c1_1(a152) & (~c2_1(a152)))) & ((~hskp24) | (ndr1_0 & c1_1(a153) & (~c0_1(a153)) & (~c2_1(a153)))) & ((~hskp25) | (ndr1_0 & c0_1(a159) & (~c1_1(a159)) & (~c2_1(a159)))) & ((~hskp26) | (ndr1_0 & c0_1(a94) & c1_1(a94) & c2_1(a94))) & ((~hskp27) | (ndr1_0 & c0_1(a95) & c2_1(a95) & c3_1(a95))) & ((~hskp28) | (ndr1_0 & c0_1(a142) & c1_1(a142) & c3_1(a142))) & ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c3_1(W) | (~c2_1(W)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp0 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | (~c1_1(Z)) | (~c0_1(Z)) | (~ndr1_0))) & (hskp1 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : ((~c3_1(X2)) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c3_1(X3)) | (~ndr1_0))) & (hskp4 | hskp5 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c3_1(X4)) | (~ndr1_0))) & (hskp6 | ![X5: $i] : (c2_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c0_1(X6) | (~c1_1(X6)) | (~ndr1_0))) & (hskp7 | ![X7: $i] : (c2_1(X7) | c0_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c0_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c0_1(X10) | (~c3_1(X10)) | (~c2_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c1_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (hskp8 | ![X12: $i] : (c2_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c3_1(X13)) | (~c1_1(X13)) | (~c0_1(X13)) | (~ndr1_0))) & (hskp9 | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c3_1(X15) | (~c0_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | (~c3_1(X17)) | (~c0_1(X17)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | (~c3_1(X18)) | (~c1_1(X18)) | (~ndr1_0))) & (![X19: $i] : (c0_1(X19) | c3_1(X19) | (~c2_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c1_1(X20)) | (~c2_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c0_1(X21) | (~c3_1(X21)) | (~c1_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c0_1(X22) | c3_1(X22) | (~c2_1(X22)) | (~ndr1_0)) | ![X23: $i] : (c2_1(X23) | c1_1(X23) | c3_1(X23) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp10 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c2_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c2_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c2_1(X28) | (~c3_1(X28)) | (~c0_1(X28)) | (~ndr1_0)) | ![X29: $i] : ((~c1_1(X29)) | (~c2_1(X29)) | (~c0_1(X29)) | (~ndr1_0))) & (hskp1 | ![X30: $i] : (c0_1(X30) | (~c1_1(X30)) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : ((~c3_1(X31)) | (~c2_1(X31)) | (~c0_1(X31)) | (~ndr1_0))) & (hskp11 | hskp26 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp12 | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c1_1(X34) | c3_1(X34) | (~c0_1(X34)) | (~ndr1_0))) & (hskp3 | ![X35: $i] : (c2_1(X35) | c1_1(X35) | c3_1(X35) | (~ndr1_0)) | ![X36: $i] : ((~c3_1(X36)) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X37: $i] : (c2_1(X37) | c1_1(X37) | c3_1(X37) | (~ndr1_0))) & (hskp1 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X41: $i] : (c2_1(X41) | (~c3_1(X41)) | (~c1_1(X41)) | (~ndr1_0)) | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c3_1(X40)) | (~ndr1_0))) & (hskp14 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | c1_1(X43) | (~c3_1(X43)) | (~ndr1_0))) & (hskp15 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0)) | ![X45: $i] : (c2_1(X45) | (~c3_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0)) | ![X47: $i] : (c2_1(X47) | (~c1_1(X47)) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c1_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) & (hskp10 | ![X51: $i] : (c1_1(X51) | c3_1(X51) | (~c2_1(X51)) | (~ndr1_0)) | ![X52: $i] : (c3_1(X52) | (~c1_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp16 | ![X53: $i] : (c1_1(X53) | (~c3_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c1_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (hskp8 | hskp16 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp17 | hskp26 | ![X57: $i] : (c1_1(X57) | (~c3_1(X57)) | (~c2_1(X57)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c2_1(X58)) | (~ndr1_0))) & (hskp5 | hskp19 | ![X59: $i] : (c1_1(X59) | (~c3_1(X59)) | (~c2_1(X59)) | (~ndr1_0))) & (hskp13 | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c2_1(X60)) | (~ndr1_0))) & (hskp4 | hskp6 | ![X61: $i] : (c1_1(X61) | (~c3_1(X61)) | (~c2_1(X61)) | (~ndr1_0))) & (hskp8 | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c0_1(X62)) | (~ndr1_0)) | ![X63: $i] : ((~c3_1(X63)) | (~c2_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp10 | hskp20 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp5 | hskp12 | ![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c0_1(X65)) | (~ndr1_0))) & (hskp1 | hskp17 | ![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) & (hskp5 | ![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c1_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c2_1(X69) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c0_1(X71)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X72: $i] : (c2_1(X72) | (~c1_1(X72)) | (~c0_1(X72)) | (~ndr1_0))) & (hskp18 | hskp28 | ![X73: $i] : (c3_1(X73) | (~c1_1(X73)) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | hskp21 | ![X74: $i] : (c3_1(X74) | (~c1_1(X74)) | (~c2_1(X74)) | (~ndr1_0))) & (hskp1 | hskp26 | ![X75: $i] : ((~c3_1(X75)) | (~c2_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp9 | hskp22 | ![X76: $i] : ((~c3_1(X76)) | (~c1_1(X76)) | (~c2_1(X76)) | (~ndr1_0))) & (hskp8 | hskp12 | ![X77: $i] : ((~c3_1(X77)) | (~c1_1(X77)) | (~c2_1(X77)) | (~ndr1_0))) & (hskp16 | hskp23 | hskp24) & (hskp13 | hskp18 | hskp19) & (hskp17 | hskp18 | hskp25) & (hskp2 | hskp9 | hskp14) & (hskp0 | hskp20 | hskp29) & (hskp3 | hskp8 | hskp20) & (hskp14 | hskp16 | hskp21) & (hskp11 | hskp12 | hskp14) & (hskp1 | hskp3 | hskp14) & (hskp11 | hskp24 | hskp29) & (hskp6 | hskp17 | hskp22) & (hskp15 | hskp17 | hskp22)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(21,plain,
% 0.20/0.50 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a96))) & (~c2_1(a96))) & (~c3_1(a96)))) & ((~hskp1) | (((ndr1_0 & c2_1(a97)) & c3_1(a97)) & (~c1_1(a97))))) & ((~hskp2) | (((ndr1_0 & c1_1(a98)) & (~c0_1(a98))) & (~c3_1(a98))))) & ((~hskp3) | (((ndr1_0 & c2_1(a99)) & (~c1_1(a99))) & (~c3_1(a99))))) & ((~hskp4) | (((ndr1_0 & c2_1(a100)) & (~c0_1(a100))) & (~c1_1(a100))))) & ((~hskp5) | (((ndr1_0 & c3_1(a101)) & (~c1_1(a101))) & (~c2_1(a101))))) & ((~hskp6) | (((ndr1_0 & c1_1(a102)) & c2_1(a102)) & (~c3_1(a102))))) & ((~hskp7) | (((ndr1_0 & c0_1(a103)) & (~c1_1(a103))) & (~c3_1(a103))))) & ((~hskp8) | (((ndr1_0 & (~c0_1(a104))) & (~c2_1(a104))) & (~c3_1(a104))))) & ((~hskp9) | (((ndr1_0 & c0_1(a105)) & c2_1(a105)) & (~c1_1(a105))))) & ((~hskp10) | (((ndr1_0 & c1_1(a106)) & c3_1(a106)) & (~c2_1(a106))))) & ((~hskp11) | (((ndr1_0 & c2_1(a109)) & (~c0_1(a109))) & (~c3_1(a109))))) & ((~hskp12) | (((ndr1_0 & c2_1(a110)) & c3_1(a110)) & (~c0_1(a110))))) & ((~hskp13) | (((ndr1_0 & c0_1(a112)) & c3_1(a112)) & (~c1_1(a112))))) & ((~hskp14) | (((ndr1_0 & c0_1(a115)) & (~c2_1(a115))) & (~c3_1(a115))))) & ((~hskp15) | (((ndr1_0 & c1_1(a116)) & c3_1(a116)) & (~c0_1(a116))))) & ((~hskp16) | (((ndr1_0 & c1_1(a118)) & (~c2_1(a118))) & (~c3_1(a118))))) & ((~hskp17) | (((ndr1_0 & (~c0_1(a124))) & (~c1_1(a124))) & (~c3_1(a124))))) & ((~hskp18) | (((ndr1_0 & c0_1(a125)) & c1_1(a125)) & (~c3_1(a125))))) & ((~hskp19) | (((ndr1_0 & c0_1(a127)) & c2_1(a127)) & (~c3_1(a127))))) & ((~hskp20) | (((ndr1_0 & c0_1(a133)) & c3_1(a133)) & (~c2_1(a133))))) & ((~hskp21) | (((ndr1_0 & c3_1(a145)) & (~c0_1(a145))) & (~c2_1(a145))))) & ((~hskp22) | (((ndr1_0 & c3_1(a149)) & (~c0_1(a149))) & (~c1_1(a149))))) & ((~hskp23) | (((ndr1_0 & c0_1(a152)) & c1_1(a152)) & (~c2_1(a152))))) & ((~hskp24) | (((ndr1_0 & c1_1(a153)) & (~c0_1(a153))) & (~c2_1(a153))))) & ((~hskp25) | (((ndr1_0 & c0_1(a159)) & (~c1_1(a159))) & (~c2_1(a159))))) & ((~hskp26) | (((ndr1_0 & c0_1(a94)) & c1_1(a94)) & c2_1(a94)))) & ((~hskp27) | (((ndr1_0 & c0_1(a95)) & c2_1(a95)) & c3_1(a95)))) & ((~hskp28) | (((ndr1_0 & c0_1(a142)) & c1_1(a142)) & c3_1(a142)))) & ((~hskp29) | (((ndr1_0 & c1_1(a165)) & c2_1(a165)) & c3_1(a165)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | (~c1_1(V))) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c2_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp26) | hskp27)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c2_1(Z) | (~c0_1(Z))) | (~c1_1(Z))))) | hskp0)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => (((~c0_1(X2)) | (~c2_1(X2))) | (~c3_1(X2))))) | hskp1)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c3_1(X3)))) | hskp2) | hskp3)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c3_1(X4)))) | hskp4) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c2_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c0_1(X6) | c2_1(X6)) | (~c1_1(X6))))) | hskp6)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c2_1(X7)) | (~c1_1(X7)))) | ![X8: $i] : (ndr1_0 => ((c0_1(X8) | (~c2_1(X8))) | (~c3_1(X8))))) | hskp7)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | (~c2_1(X10))) | (~c3_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c1_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c2_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c0_1(X13)) | (~c1_1(X13))) | (~c3_1(X13))))) | hskp8)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | c3_1(X15)) | (~c0_1(X15))))) | hskp9)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c2_1(X17) | (~c0_1(X17))) | (~c3_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c2_1(X18) | (~c1_1(X18))) | (~c3_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c3_1(X19)) | (~c2_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c2_1(X20))))) | ![X21: $i] : (ndr1_0 => ((c0_1(X21) | (~c1_1(X21))) | (~c3_1(X21)))))) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c3_1(X22)) | (~c2_1(X22)))) | ![X23: $i] : (ndr1_0 => ((c1_1(X23) | c2_1(X23)) | c3_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c2_1(X24) | c3_1(X24)) | (~c1_1(X24)))))) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c2_1(X26))))) | hskp10)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c2_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c2_1(X28) | (~c0_1(X28))) | (~c3_1(X28))))) | ![X29: $i] : (ndr1_0 => (((~c0_1(X29)) | (~c1_1(X29))) | (~c2_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | ![X31: $i] : (ndr1_0 => (((~c0_1(X31)) | (~c2_1(X31))) | (~c3_1(X31))))) | hskp1)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp26) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c3_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c3_1(X34)) | (~c0_1(X34))))) | hskp12)) & ((![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | c3_1(X35))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c2_1(X36))) | (~c3_1(X36))))) | hskp3)) & ((![X37: $i] : (ndr1_0 => ((c1_1(X37) | c2_1(X37)) | c3_1(X37))) | hskp13) | hskp3)) & (![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp1)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c3_1(X40))))) | ![X41: $i] : (ndr1_0 => ((c2_1(X41) | (~c1_1(X41))) | (~c3_1(X41)))))) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | (~c3_1(X43))))) | hskp14)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c2_1(X45) | (~c0_1(X45))) | (~c3_1(X45))))) | hskp15)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | ![X47: $i] : (ndr1_0 => ((c2_1(X47) | (~c0_1(X47))) | (~c1_1(X47))))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c1_1(X48))) | (~c3_1(X48)))))) & (![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c3_1(X51)) | (~c2_1(X51)))) | ![X52: $i] : (ndr1_0 => ((c3_1(X52) | (~c0_1(X52))) | (~c1_1(X52))))) | hskp10)) & ((![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c1_1(X54))))) | hskp16)) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | (~c0_1(X55))) | (~c3_1(X55)))) | hskp14) | hskp10)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | hskp16) | hskp8)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | (~c2_1(X57))) | (~c3_1(X57)))) | hskp26) | hskp17)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58)))) | hskp18) | hskp14)) & ((![X59: $i] : (ndr1_0 => ((c1_1(X59) | (~c2_1(X59))) | (~c3_1(X59)))) | hskp19) | hskp5)) & (![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c2_1(X60))) | (~c3_1(X60)))) | hskp13)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | hskp6) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c0_1(X62)))) | ![X63: $i] : (ndr1_0 => (((~c0_1(X63)) | (~c2_1(X63))) | (~c3_1(X63))))) | hskp8)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp20) | hskp10)) & ((![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c0_1(X65)))) | hskp12) | hskp5)) & ((![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | hskp1) | hskp17)) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c1_1(X68))) | (~c2_1(X68))))) | hskp5)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | (~c0_1(X69))) | (~c1_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c1_1(X70))) | (~c3_1(X70))))) | ![X71: $i] : (ndr1_0 => (((~c0_1(X71)) | (~c1_1(X71))) | (~c3_1(X71)))))) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | (~c0_1(X72))) | (~c1_1(X72)))) | hskp6) | hskp3)) & ((![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c1_1(X73))) | (~c2_1(X73)))) | hskp28) | hskp18)) & ((![X74: $i] : (ndr1_0 => ((c3_1(X74) | (~c1_1(X74))) | (~c2_1(X74)))) | hskp12) | hskp21)) & ((![X75: $i] : (ndr1_0 => (((~c0_1(X75)) | (~c2_1(X75))) | (~c3_1(X75)))) | hskp26) | hskp1)) & ((![X76: $i] : (ndr1_0 => (((~c1_1(X76)) | (~c2_1(X76))) | (~c3_1(X76)))) | hskp9) | hskp22)) & ((![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77)))) | hskp12) | hskp8)) & ((hskp23 | hskp24) | hskp16)) & ((hskp18 | hskp19) | hskp13)) & ((hskp18 | hskp25) | hskp17)) & ((hskp9 | hskp14) | hskp2)) & ((hskp20 | hskp29) | hskp0)) & ((hskp20 | hskp3) | hskp8)) & ((hskp14 | hskp16) | hskp21)) & ((hskp14 | hskp12) | hskp11)) & ((hskp14 | hskp1) | hskp3)) & ((hskp29 | hskp24) | hskp11)) & ((hskp6 | hskp22) | hskp17)) & ((hskp15 | hskp22) | hskp17)))) <=> (~(~(((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) & ((~hskp1) | (ndr1_0 & c2_1(a97) & c3_1(a97) & (~c1_1(a97)))) & ((~hskp2) | (ndr1_0 & c1_1(a98) & (~c0_1(a98)) & (~c3_1(a98)))) & ((~hskp3) | (ndr1_0 & c2_1(a99) & (~c1_1(a99)) & (~c3_1(a99)))) & ((~hskp4) | (ndr1_0 & c2_1(a100) & (~c0_1(a100)) & (~c1_1(a100)))) & ((~hskp5) | (ndr1_0 & c3_1(a101) & (~c1_1(a101)) & (~c2_1(a101)))) & ((~hskp6) | (ndr1_0 & c1_1(a102) & c2_1(a102) & (~c3_1(a102)))) & ((~hskp7) | (ndr1_0 & c0_1(a103) & (~c1_1(a103)) & (~c3_1(a103)))) & ((~hskp8) | (ndr1_0 & (~c0_1(a104)) & (~c2_1(a104)) & (~c3_1(a104)))) & ((~hskp9) | (ndr1_0 & c0_1(a105) & c2_1(a105) & (~c1_1(a105)))) & ((~hskp10) | (ndr1_0 & c1_1(a106) & c3_1(a106) & (~c2_1(a106)))) & ((~hskp11) | (ndr1_0 & c2_1(a109) & (~c0_1(a109)) & (~c3_1(a109)))) & ((~hskp12) | (ndr1_0 & c2_1(a110) & c3_1(a110) & (~c0_1(a110)))) & ((~hskp13) | (ndr1_0 & c0_1(a112) & c3_1(a112) & (~c1_1(a112)))) & ((~hskp14) | (ndr1_0 & c0_1(a115) & (~c2_1(a115)) & (~c3_1(a115)))) & ((~hskp15) | (ndr1_0 & c1_1(a116) & c3_1(a116) & (~c0_1(a116)))) & ((~hskp16) | (ndr1_0 & c1_1(a118) & (~c2_1(a118)) & (~c3_1(a118)))) & ((~hskp17) | (ndr1_0 & (~c0_1(a124)) & (~c1_1(a124)) & (~c3_1(a124)))) & ((~hskp18) | (ndr1_0 & c0_1(a125) & c1_1(a125) & (~c3_1(a125)))) & ((~hskp19) | (ndr1_0 & c0_1(a127) & c2_1(a127) & (~c3_1(a127)))) & ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) & ((~hskp21) | (ndr1_0 & c3_1(a145) & (~c0_1(a145)) & (~c2_1(a145)))) & ((~hskp22) | (ndr1_0 & c3_1(a149) & (~c0_1(a149)) & (~c1_1(a149)))) & ((~hskp23) | (ndr1_0 & c0_1(a152) & c1_1(a152) & (~c2_1(a152)))) & ((~hskp24) | (ndr1_0 & c1_1(a153) & (~c0_1(a153)) & (~c2_1(a153)))) & ((~hskp25) | (ndr1_0 & c0_1(a159) & (~c1_1(a159)) & (~c2_1(a159)))) & ((~hskp26) | (ndr1_0 & c0_1(a94) & c1_1(a94) & c2_1(a94))) & ((~hskp27) | (ndr1_0 & c0_1(a95) & c2_1(a95) & c3_1(a95))) & ((~hskp28) | (ndr1_0 & c0_1(a142) & c1_1(a142) & c3_1(a142))) & ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c3_1(W) | (~c2_1(W)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp0 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | (~c1_1(Z)) | (~c0_1(Z)) | (~ndr1_0))) & (hskp1 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : ((~c3_1(X2)) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c3_1(X3)) | (~ndr1_0))) & (hskp4 | hskp5 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c3_1(X4)) | (~ndr1_0))) & (hskp6 | ![X5: $i] : (c2_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c0_1(X6) | (~c1_1(X6)) | (~ndr1_0))) & (hskp7 | ![X7: $i] : (c2_1(X7) | c0_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c0_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c0_1(X10) | (~c3_1(X10)) | (~c2_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c1_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (hskp8 | ![X12: $i] : (c2_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c3_1(X13)) | (~c1_1(X13)) | (~c0_1(X13)) | (~ndr1_0))) & (hskp9 | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c3_1(X15) | (~c0_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | (~c3_1(X17)) | (~c0_1(X17)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | (~c3_1(X18)) | (~c1_1(X18)) | (~ndr1_0))) & (![X19: $i] : (c0_1(X19) | c3_1(X19) | (~c2_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c1_1(X20)) | (~c2_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c0_1(X21) | (~c3_1(X21)) | (~c1_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c0_1(X22) | c3_1(X22) | (~c2_1(X22)) | (~ndr1_0)) | ![X23: $i] : (c2_1(X23) | c1_1(X23) | c3_1(X23) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp10 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c2_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c2_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c2_1(X28) | (~c3_1(X28)) | (~c0_1(X28)) | (~ndr1_0)) | ![X29: $i] : ((~c1_1(X29)) | (~c2_1(X29)) | (~c0_1(X29)) | (~ndr1_0))) & (hskp1 | ![X30: $i] : (c0_1(X30) | (~c1_1(X30)) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : ((~c3_1(X31)) | (~c2_1(X31)) | (~c0_1(X31)) | (~ndr1_0))) & (hskp11 | hskp26 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp12 | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c1_1(X34) | c3_1(X34) | (~c0_1(X34)) | (~ndr1_0))) & (hskp3 | ![X35: $i] : (c2_1(X35) | c1_1(X35) | c3_1(X35) | (~ndr1_0)) | ![X36: $i] : ((~c3_1(X36)) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X37: $i] : (c2_1(X37) | c1_1(X37) | c3_1(X37) | (~ndr1_0))) & (hskp1 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X41: $i] : (c2_1(X41) | (~c3_1(X41)) | (~c1_1(X41)) | (~ndr1_0)) | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c3_1(X40)) | (~ndr1_0))) & (hskp14 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | c1_1(X43) | (~c3_1(X43)) | (~ndr1_0))) & (hskp15 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0)) | ![X45: $i] : (c2_1(X45) | (~c3_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0)) | ![X47: $i] : (c2_1(X47) | (~c1_1(X47)) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c1_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) & (hskp10 | ![X51: $i] : (c1_1(X51) | c3_1(X51) | (~c2_1(X51)) | (~ndr1_0)) | ![X52: $i] : (c3_1(X52) | (~c1_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp16 | ![X53: $i] : (c1_1(X53) | (~c3_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c1_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (hskp8 | hskp16 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp17 | hskp26 | ![X57: $i] : (c1_1(X57) | (~c3_1(X57)) | (~c2_1(X57)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c2_1(X58)) | (~ndr1_0))) & (hskp5 | hskp19 | ![X59: $i] : (c1_1(X59) | (~c3_1(X59)) | (~c2_1(X59)) | (~ndr1_0))) & (hskp13 | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c2_1(X60)) | (~ndr1_0))) & (hskp4 | hskp6 | ![X61: $i] : (c1_1(X61) | (~c3_1(X61)) | (~c2_1(X61)) | (~ndr1_0))) & (hskp8 | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c0_1(X62)) | (~ndr1_0)) | ![X63: $i] : ((~c3_1(X63)) | (~c2_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp10 | hskp20 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp5 | hskp12 | ![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c0_1(X65)) | (~ndr1_0))) & (hskp1 | hskp17 | ![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) & (hskp5 | ![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c1_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c2_1(X69) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c0_1(X71)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X72: $i] : (c2_1(X72) | (~c1_1(X72)) | (~c0_1(X72)) | (~ndr1_0))) & (hskp18 | hskp28 | ![X73: $i] : (c3_1(X73) | (~c1_1(X73)) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | hskp21 | ![X74: $i] : (c3_1(X74) | (~c1_1(X74)) | (~c2_1(X74)) | (~ndr1_0))) & (hskp1 | hskp26 | ![X75: $i] : ((~c3_1(X75)) | (~c2_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp9 | hskp22 | ![X76: $i] : ((~c3_1(X76)) | (~c1_1(X76)) | (~c2_1(X76)) | (~ndr1_0))) & (hskp8 | hskp12 | ![X77: $i] : ((~c3_1(X77)) | (~c1_1(X77)) | (~c2_1(X77)) | (~ndr1_0))) & (hskp16 | hskp23 | hskp24) & (hskp13 | hskp18 | hskp19) & (hskp17 | hskp18 | hskp25) & (hskp2 | hskp9 | hskp14) & (hskp0 | hskp20 | hskp29) & (hskp3 | hskp8 | hskp20) & (hskp14 | hskp16 | hskp21) & (hskp11 | hskp12 | hskp14) & (hskp1 | hskp3 | hskp14) & (hskp11 | hskp24 | hskp29) & (hskp6 | hskp17 | hskp22) & (hskp15 | hskp17 | hskp22))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[20])).
% 0.20/0.51 tff(22,plain,
% 0.20/0.51 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a96))) & (~c2_1(a96))) & (~c3_1(a96)))) & ((~hskp1) | (((ndr1_0 & c2_1(a97)) & c3_1(a97)) & (~c1_1(a97))))) & ((~hskp2) | (((ndr1_0 & c1_1(a98)) & (~c0_1(a98))) & (~c3_1(a98))))) & ((~hskp3) | (((ndr1_0 & c2_1(a99)) & (~c1_1(a99))) & (~c3_1(a99))))) & ((~hskp4) | (((ndr1_0 & c2_1(a100)) & (~c0_1(a100))) & (~c1_1(a100))))) & ((~hskp5) | (((ndr1_0 & c3_1(a101)) & (~c1_1(a101))) & (~c2_1(a101))))) & ((~hskp6) | (((ndr1_0 & c1_1(a102)) & c2_1(a102)) & (~c3_1(a102))))) & ((~hskp7) | (((ndr1_0 & c0_1(a103)) & (~c1_1(a103))) & (~c3_1(a103))))) & ((~hskp8) | (((ndr1_0 & (~c0_1(a104))) & (~c2_1(a104))) & (~c3_1(a104))))) & ((~hskp9) | (((ndr1_0 & c0_1(a105)) & c2_1(a105)) & (~c1_1(a105))))) & ((~hskp10) | (((ndr1_0 & c1_1(a106)) & c3_1(a106)) & (~c2_1(a106))))) & ((~hskp11) | (((ndr1_0 & c2_1(a109)) & (~c0_1(a109))) & (~c3_1(a109))))) & ((~hskp12) | (((ndr1_0 & c2_1(a110)) & c3_1(a110)) & (~c0_1(a110))))) & ((~hskp13) | (((ndr1_0 & c0_1(a112)) & c3_1(a112)) & (~c1_1(a112))))) & ((~hskp14) | (((ndr1_0 & c0_1(a115)) & (~c2_1(a115))) & (~c3_1(a115))))) & ((~hskp15) | (((ndr1_0 & c1_1(a116)) & c3_1(a116)) & (~c0_1(a116))))) & ((~hskp16) | (((ndr1_0 & c1_1(a118)) & (~c2_1(a118))) & (~c3_1(a118))))) & ((~hskp17) | (((ndr1_0 & (~c0_1(a124))) & (~c1_1(a124))) & (~c3_1(a124))))) & ((~hskp18) | (((ndr1_0 & c0_1(a125)) & c1_1(a125)) & (~c3_1(a125))))) & ((~hskp19) | (((ndr1_0 & c0_1(a127)) & c2_1(a127)) & (~c3_1(a127))))) & ((~hskp20) | (((ndr1_0 & c0_1(a133)) & c3_1(a133)) & (~c2_1(a133))))) & ((~hskp21) | (((ndr1_0 & c3_1(a145)) & (~c0_1(a145))) & (~c2_1(a145))))) & ((~hskp22) | (((ndr1_0 & c3_1(a149)) & (~c0_1(a149))) & (~c1_1(a149))))) & ((~hskp23) | (((ndr1_0 & c0_1(a152)) & c1_1(a152)) & (~c2_1(a152))))) & ((~hskp24) | (((ndr1_0 & c1_1(a153)) & (~c0_1(a153))) & (~c2_1(a153))))) & ((~hskp25) | (((ndr1_0 & c0_1(a159)) & (~c1_1(a159))) & (~c2_1(a159))))) & ((~hskp26) | (((ndr1_0 & c0_1(a94)) & c1_1(a94)) & c2_1(a94)))) & ((~hskp27) | (((ndr1_0 & c0_1(a95)) & c2_1(a95)) & c3_1(a95)))) & ((~hskp28) | (((ndr1_0 & c0_1(a142)) & c1_1(a142)) & c3_1(a142)))) & ((~hskp29) | (((ndr1_0 & c1_1(a165)) & c2_1(a165)) & c3_1(a165)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | (~c1_1(V))) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c2_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp26) | hskp27)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c2_1(Z) | (~c0_1(Z))) | (~c1_1(Z))))) | hskp0)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => (((~c0_1(X2)) | (~c2_1(X2))) | (~c3_1(X2))))) | hskp1)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c3_1(X3)))) | hskp2) | hskp3)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c3_1(X4)))) | hskp4) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c2_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c0_1(X6) | c2_1(X6)) | (~c1_1(X6))))) | hskp6)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c2_1(X7)) | (~c1_1(X7)))) | ![X8: $i] : (ndr1_0 => ((c0_1(X8) | (~c2_1(X8))) | (~c3_1(X8))))) | hskp7)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | (~c2_1(X10))) | (~c3_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c1_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c2_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c0_1(X13)) | (~c1_1(X13))) | (~c3_1(X13))))) | hskp8)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | c3_1(X15)) | (~c0_1(X15))))) | hskp9)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c2_1(X17) | (~c0_1(X17))) | (~c3_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c2_1(X18) | (~c1_1(X18))) | (~c3_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c3_1(X19)) | (~c2_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c2_1(X20))))) | ![X21: $i] : (ndr1_0 => ((c0_1(X21) | (~c1_1(X21))) | (~c3_1(X21)))))) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c3_1(X22)) | (~c2_1(X22)))) | ![X23: $i] : (ndr1_0 => ((c1_1(X23) | c2_1(X23)) | c3_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c2_1(X24) | c3_1(X24)) | (~c1_1(X24)))))) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c2_1(X26))))) | hskp10)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c2_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c2_1(X28) | (~c0_1(X28))) | (~c3_1(X28))))) | ![X29: $i] : (ndr1_0 => (((~c0_1(X29)) | (~c1_1(X29))) | (~c2_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | ![X31: $i] : (ndr1_0 => (((~c0_1(X31)) | (~c2_1(X31))) | (~c3_1(X31))))) | hskp1)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp26) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c3_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c3_1(X34)) | (~c0_1(X34))))) | hskp12)) & ((![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | c3_1(X35))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c2_1(X36))) | (~c3_1(X36))))) | hskp3)) & ((![X37: $i] : (ndr1_0 => ((c1_1(X37) | c2_1(X37)) | c3_1(X37))) | hskp13) | hskp3)) & (![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp1)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c3_1(X40))))) | ![X41: $i] : (ndr1_0 => ((c2_1(X41) | (~c1_1(X41))) | (~c3_1(X41)))))) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | (~c3_1(X43))))) | hskp14)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c2_1(X45) | (~c0_1(X45))) | (~c3_1(X45))))) | hskp15)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | ![X47: $i] : (ndr1_0 => ((c2_1(X47) | (~c0_1(X47))) | (~c1_1(X47))))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c1_1(X48))) | (~c3_1(X48)))))) & (![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c3_1(X51)) | (~c2_1(X51)))) | ![X52: $i] : (ndr1_0 => ((c3_1(X52) | (~c0_1(X52))) | (~c1_1(X52))))) | hskp10)) & ((![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c1_1(X54))))) | hskp16)) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | (~c0_1(X55))) | (~c3_1(X55)))) | hskp14) | hskp10)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | hskp16) | hskp8)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | (~c2_1(X57))) | (~c3_1(X57)))) | hskp26) | hskp17)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58)))) | hskp18) | hskp14)) & ((![X59: $i] : (ndr1_0 => ((c1_1(X59) | (~c2_1(X59))) | (~c3_1(X59)))) | hskp19) | hskp5)) & (![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c2_1(X60))) | (~c3_1(X60)))) | hskp13)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | hskp6) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c0_1(X62)))) | ![X63: $i] : (ndr1_0 => (((~c0_1(X63)) | (~c2_1(X63))) | (~c3_1(X63))))) | hskp8)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp20) | hskp10)) & ((![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c0_1(X65)))) | hskp12) | hskp5)) & ((![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | hskp1) | hskp17)) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c1_1(X68))) | (~c2_1(X68))))) | hskp5)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | (~c0_1(X69))) | (~c1_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c1_1(X70))) | (~c3_1(X70))))) | ![X71: $i] : (ndr1_0 => (((~c0_1(X71)) | (~c1_1(X71))) | (~c3_1(X71)))))) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | (~c0_1(X72))) | (~c1_1(X72)))) | hskp6) | hskp3)) & ((![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c1_1(X73))) | (~c2_1(X73)))) | hskp28) | hskp18)) & ((![X74: $i] : (ndr1_0 => ((c3_1(X74) | (~c1_1(X74))) | (~c2_1(X74)))) | hskp12) | hskp21)) & ((![X75: $i] : (ndr1_0 => (((~c0_1(X75)) | (~c2_1(X75))) | (~c3_1(X75)))) | hskp26) | hskp1)) & ((![X76: $i] : (ndr1_0 => (((~c1_1(X76)) | (~c2_1(X76))) | (~c3_1(X76)))) | hskp9) | hskp22)) & ((![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77)))) | hskp12) | hskp8)) & ((hskp23 | hskp24) | hskp16)) & ((hskp18 | hskp19) | hskp13)) & ((hskp18 | hskp25) | hskp17)) & ((hskp9 | hskp14) | hskp2)) & ((hskp20 | hskp29) | hskp0)) & ((hskp20 | hskp3) | hskp8)) & ((hskp14 | hskp16) | hskp21)) & ((hskp14 | hskp12) | hskp11)) & ((hskp14 | hskp1) | hskp3)) & ((hskp29 | hskp24) | hskp11)) & ((hskp6 | hskp22) | hskp17)) & ((hskp15 | hskp22) | hskp17)))) <=> (((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) & ((~hskp1) | (ndr1_0 & c2_1(a97) & c3_1(a97) & (~c1_1(a97)))) & ((~hskp2) | (ndr1_0 & c1_1(a98) & (~c0_1(a98)) & (~c3_1(a98)))) & ((~hskp3) | (ndr1_0 & c2_1(a99) & (~c1_1(a99)) & (~c3_1(a99)))) & ((~hskp4) | (ndr1_0 & c2_1(a100) & (~c0_1(a100)) & (~c1_1(a100)))) & ((~hskp5) | (ndr1_0 & c3_1(a101) & (~c1_1(a101)) & (~c2_1(a101)))) & ((~hskp6) | (ndr1_0 & c1_1(a102) & c2_1(a102) & (~c3_1(a102)))) & ((~hskp7) | (ndr1_0 & c0_1(a103) & (~c1_1(a103)) & (~c3_1(a103)))) & ((~hskp8) | (ndr1_0 & (~c0_1(a104)) & (~c2_1(a104)) & (~c3_1(a104)))) & ((~hskp9) | (ndr1_0 & c0_1(a105) & c2_1(a105) & (~c1_1(a105)))) & ((~hskp10) | (ndr1_0 & c1_1(a106) & c3_1(a106) & (~c2_1(a106)))) & ((~hskp11) | (ndr1_0 & c2_1(a109) & (~c0_1(a109)) & (~c3_1(a109)))) & ((~hskp12) | (ndr1_0 & c2_1(a110) & c3_1(a110) & (~c0_1(a110)))) & ((~hskp13) | (ndr1_0 & c0_1(a112) & c3_1(a112) & (~c1_1(a112)))) & ((~hskp14) | (ndr1_0 & c0_1(a115) & (~c2_1(a115)) & (~c3_1(a115)))) & ((~hskp15) | (ndr1_0 & c1_1(a116) & c3_1(a116) & (~c0_1(a116)))) & ((~hskp16) | (ndr1_0 & c1_1(a118) & (~c2_1(a118)) & (~c3_1(a118)))) & ((~hskp17) | (ndr1_0 & (~c0_1(a124)) & (~c1_1(a124)) & (~c3_1(a124)))) & ((~hskp18) | (ndr1_0 & c0_1(a125) & c1_1(a125) & (~c3_1(a125)))) & ((~hskp19) | (ndr1_0 & c0_1(a127) & c2_1(a127) & (~c3_1(a127)))) & ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) & ((~hskp21) | (ndr1_0 & c3_1(a145) & (~c0_1(a145)) & (~c2_1(a145)))) & ((~hskp22) | (ndr1_0 & c3_1(a149) & (~c0_1(a149)) & (~c1_1(a149)))) & ((~hskp23) | (ndr1_0 & c0_1(a152) & c1_1(a152) & (~c2_1(a152)))) & ((~hskp24) | (ndr1_0 & c1_1(a153) & (~c0_1(a153)) & (~c2_1(a153)))) & ((~hskp25) | (ndr1_0 & c0_1(a159) & (~c1_1(a159)) & (~c2_1(a159)))) & ((~hskp26) | (ndr1_0 & c0_1(a94) & c1_1(a94) & c2_1(a94))) & ((~hskp27) | (ndr1_0 & c0_1(a95) & c2_1(a95) & c3_1(a95))) & ((~hskp28) | (ndr1_0 & c0_1(a142) & c1_1(a142) & c3_1(a142))) & ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c3_1(W) | (~c2_1(W)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp0 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | (~c1_1(Z)) | (~c0_1(Z)) | (~ndr1_0))) & (hskp1 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : ((~c3_1(X2)) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c3_1(X3)) | (~ndr1_0))) & (hskp4 | hskp5 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c3_1(X4)) | (~ndr1_0))) & (hskp6 | ![X5: $i] : (c2_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c0_1(X6) | (~c1_1(X6)) | (~ndr1_0))) & (hskp7 | ![X7: $i] : (c2_1(X7) | c0_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c0_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c0_1(X10) | (~c3_1(X10)) | (~c2_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c1_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (hskp8 | ![X12: $i] : (c2_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c3_1(X13)) | (~c1_1(X13)) | (~c0_1(X13)) | (~ndr1_0))) & (hskp9 | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c3_1(X15) | (~c0_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | (~c3_1(X17)) | (~c0_1(X17)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | (~c3_1(X18)) | (~c1_1(X18)) | (~ndr1_0))) & (![X19: $i] : (c0_1(X19) | c3_1(X19) | (~c2_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c1_1(X20)) | (~c2_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c0_1(X21) | (~c3_1(X21)) | (~c1_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c0_1(X22) | c3_1(X22) | (~c2_1(X22)) | (~ndr1_0)) | ![X23: $i] : (c2_1(X23) | c1_1(X23) | c3_1(X23) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp10 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c2_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c2_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c2_1(X28) | (~c3_1(X28)) | (~c0_1(X28)) | (~ndr1_0)) | ![X29: $i] : ((~c1_1(X29)) | (~c2_1(X29)) | (~c0_1(X29)) | (~ndr1_0))) & (hskp1 | ![X30: $i] : (c0_1(X30) | (~c1_1(X30)) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : ((~c3_1(X31)) | (~c2_1(X31)) | (~c0_1(X31)) | (~ndr1_0))) & (hskp11 | hskp26 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp12 | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c1_1(X34) | c3_1(X34) | (~c0_1(X34)) | (~ndr1_0))) & (hskp3 | ![X35: $i] : (c2_1(X35) | c1_1(X35) | c3_1(X35) | (~ndr1_0)) | ![X36: $i] : ((~c3_1(X36)) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X37: $i] : (c2_1(X37) | c1_1(X37) | c3_1(X37) | (~ndr1_0))) & (hskp1 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X41: $i] : (c2_1(X41) | (~c3_1(X41)) | (~c1_1(X41)) | (~ndr1_0)) | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c3_1(X40)) | (~ndr1_0))) & (hskp14 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | c1_1(X43) | (~c3_1(X43)) | (~ndr1_0))) & (hskp15 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0)) | ![X45: $i] : (c2_1(X45) | (~c3_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0)) | ![X47: $i] : (c2_1(X47) | (~c1_1(X47)) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c1_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) & (hskp10 | ![X51: $i] : (c1_1(X51) | c3_1(X51) | (~c2_1(X51)) | (~ndr1_0)) | ![X52: $i] : (c3_1(X52) | (~c1_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp16 | ![X53: $i] : (c1_1(X53) | (~c3_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c1_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (hskp8 | hskp16 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp17 | hskp26 | ![X57: $i] : (c1_1(X57) | (~c3_1(X57)) | (~c2_1(X57)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c2_1(X58)) | (~ndr1_0))) & (hskp5 | hskp19 | ![X59: $i] : (c1_1(X59) | (~c3_1(X59)) | (~c2_1(X59)) | (~ndr1_0))) & (hskp13 | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c2_1(X60)) | (~ndr1_0))) & (hskp4 | hskp6 | ![X61: $i] : (c1_1(X61) | (~c3_1(X61)) | (~c2_1(X61)) | (~ndr1_0))) & (hskp8 | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c0_1(X62)) | (~ndr1_0)) | ![X63: $i] : ((~c3_1(X63)) | (~c2_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp10 | hskp20 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp5 | hskp12 | ![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c0_1(X65)) | (~ndr1_0))) & (hskp1 | hskp17 | ![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) & (hskp5 | ![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c1_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c2_1(X69) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c0_1(X71)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X72: $i] : (c2_1(X72) | (~c1_1(X72)) | (~c0_1(X72)) | (~ndr1_0))) & (hskp18 | hskp28 | ![X73: $i] : (c3_1(X73) | (~c1_1(X73)) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | hskp21 | ![X74: $i] : (c3_1(X74) | (~c1_1(X74)) | (~c2_1(X74)) | (~ndr1_0))) & (hskp1 | hskp26 | ![X75: $i] : ((~c3_1(X75)) | (~c2_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp9 | hskp22 | ![X76: $i] : ((~c3_1(X76)) | (~c1_1(X76)) | (~c2_1(X76)) | (~ndr1_0))) & (hskp8 | hskp12 | ![X77: $i] : ((~c3_1(X77)) | (~c1_1(X77)) | (~c2_1(X77)) | (~ndr1_0))) & (hskp16 | hskp23 | hskp24) & (hskp13 | hskp18 | hskp19) & (hskp17 | hskp18 | hskp25) & (hskp2 | hskp9 | hskp14) & (hskp0 | hskp20 | hskp29) & (hskp3 | hskp8 | hskp20) & (hskp14 | hskp16 | hskp21) & (hskp11 | hskp12 | hskp14) & (hskp1 | hskp3 | hskp14) & (hskp11 | hskp24 | hskp29) & (hskp6 | hskp17 | hskp22) & (hskp15 | hskp17 | hskp22))),
% 0.20/0.52 inference(transitivity,[status(thm)],[21, 19])).
% 0.20/0.52 tff(23,axiom,(~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a96))) & (~c2_1(a96))) & (~c3_1(a96)))) & ((~hskp1) | (((ndr1_0 & c2_1(a97)) & c3_1(a97)) & (~c1_1(a97))))) & ((~hskp2) | (((ndr1_0 & c1_1(a98)) & (~c0_1(a98))) & (~c3_1(a98))))) & ((~hskp3) | (((ndr1_0 & c2_1(a99)) & (~c1_1(a99))) & (~c3_1(a99))))) & ((~hskp4) | (((ndr1_0 & c2_1(a100)) & (~c0_1(a100))) & (~c1_1(a100))))) & ((~hskp5) | (((ndr1_0 & c3_1(a101)) & (~c1_1(a101))) & (~c2_1(a101))))) & ((~hskp6) | (((ndr1_0 & c1_1(a102)) & c2_1(a102)) & (~c3_1(a102))))) & ((~hskp7) | (((ndr1_0 & c0_1(a103)) & (~c1_1(a103))) & (~c3_1(a103))))) & ((~hskp8) | (((ndr1_0 & (~c0_1(a104))) & (~c2_1(a104))) & (~c3_1(a104))))) & ((~hskp9) | (((ndr1_0 & c0_1(a105)) & c2_1(a105)) & (~c1_1(a105))))) & ((~hskp10) | (((ndr1_0 & c1_1(a106)) & c3_1(a106)) & (~c2_1(a106))))) & ((~hskp11) | (((ndr1_0 & c2_1(a109)) & (~c0_1(a109))) & (~c3_1(a109))))) & ((~hskp12) | (((ndr1_0 & c2_1(a110)) & c3_1(a110)) & (~c0_1(a110))))) & ((~hskp13) | (((ndr1_0 & c0_1(a112)) & c3_1(a112)) & (~c1_1(a112))))) & ((~hskp14) | (((ndr1_0 & c0_1(a115)) & (~c2_1(a115))) & (~c3_1(a115))))) & ((~hskp15) | (((ndr1_0 & c1_1(a116)) & c3_1(a116)) & (~c0_1(a116))))) & ((~hskp16) | (((ndr1_0 & c1_1(a118)) & (~c2_1(a118))) & (~c3_1(a118))))) & ((~hskp17) | (((ndr1_0 & (~c0_1(a124))) & (~c1_1(a124))) & (~c3_1(a124))))) & ((~hskp18) | (((ndr1_0 & c0_1(a125)) & c1_1(a125)) & (~c3_1(a125))))) & ((~hskp19) | (((ndr1_0 & c0_1(a127)) & c2_1(a127)) & (~c3_1(a127))))) & ((~hskp20) | (((ndr1_0 & c0_1(a133)) & c3_1(a133)) & (~c2_1(a133))))) & ((~hskp21) | (((ndr1_0 & c3_1(a145)) & (~c0_1(a145))) & (~c2_1(a145))))) & ((~hskp22) | (((ndr1_0 & c3_1(a149)) & (~c0_1(a149))) & (~c1_1(a149))))) & ((~hskp23) | (((ndr1_0 & c0_1(a152)) & c1_1(a152)) & (~c2_1(a152))))) & ((~hskp24) | (((ndr1_0 & c1_1(a153)) & (~c0_1(a153))) & (~c2_1(a153))))) & ((~hskp25) | (((ndr1_0 & c0_1(a159)) & (~c1_1(a159))) & (~c2_1(a159))))) & ((~hskp26) | (((ndr1_0 & c0_1(a94)) & c1_1(a94)) & c2_1(a94)))) & ((~hskp27) | (((ndr1_0 & c0_1(a95)) & c2_1(a95)) & c3_1(a95)))) & ((~hskp28) | (((ndr1_0 & c0_1(a142)) & c1_1(a142)) & c3_1(a142)))) & ((~hskp29) | (((ndr1_0 & c1_1(a165)) & c2_1(a165)) & c3_1(a165)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | (~c1_1(V))) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c2_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | hskp26) | hskp27)) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c2_1(Z) | (~c0_1(Z))) | (~c1_1(Z))))) | hskp0)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | (~c2_1(X1)))) | ![X2: $i] : (ndr1_0 => (((~c0_1(X2)) | (~c2_1(X2))) | (~c3_1(X2))))) | hskp1)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c3_1(X3)))) | hskp2) | hskp3)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | (~c3_1(X4)))) | hskp4) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c2_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c0_1(X6) | c2_1(X6)) | (~c1_1(X6))))) | hskp6)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c2_1(X7)) | (~c1_1(X7)))) | ![X8: $i] : (ndr1_0 => ((c0_1(X8) | (~c2_1(X8))) | (~c3_1(X8))))) | hskp7)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c2_1(X9)) | (~c3_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | (~c2_1(X10))) | (~c3_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c1_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c2_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c0_1(X13)) | (~c1_1(X13))) | (~c3_1(X13))))) | hskp8)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c3_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | c3_1(X15)) | (~c0_1(X15))))) | hskp9)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c2_1(X17) | (~c0_1(X17))) | (~c3_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c2_1(X18) | (~c1_1(X18))) | (~c3_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c3_1(X19)) | (~c2_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c2_1(X20))))) | ![X21: $i] : (ndr1_0 => ((c0_1(X21) | (~c1_1(X21))) | (~c3_1(X21)))))) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c3_1(X22)) | (~c2_1(X22)))) | ![X23: $i] : (ndr1_0 => ((c1_1(X23) | c2_1(X23)) | c3_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c2_1(X24) | c3_1(X24)) | (~c1_1(X24)))))) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c1_1(X26) | c3_1(X26)) | (~c2_1(X26))))) | hskp10)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c2_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c2_1(X28) | (~c0_1(X28))) | (~c3_1(X28))))) | ![X29: $i] : (ndr1_0 => (((~c0_1(X29)) | (~c1_1(X29))) | (~c2_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | ![X31: $i] : (ndr1_0 => (((~c0_1(X31)) | (~c2_1(X31))) | (~c3_1(X31))))) | hskp1)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp26) | hskp11)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c3_1(X33)))) | ![X34: $i] : (ndr1_0 => ((c1_1(X34) | c3_1(X34)) | (~c0_1(X34))))) | hskp12)) & ((![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | c3_1(X35))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c2_1(X36))) | (~c3_1(X36))))) | hskp3)) & ((![X37: $i] : (ndr1_0 => ((c1_1(X37) | c2_1(X37)) | c3_1(X37))) | hskp13) | hskp3)) & (![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp1)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c3_1(X40))))) | ![X41: $i] : (ndr1_0 => ((c2_1(X41) | (~c1_1(X41))) | (~c3_1(X41)))))) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | (~c3_1(X43))))) | hskp14)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | ![X45: $i] : (ndr1_0 => ((c2_1(X45) | (~c0_1(X45))) | (~c3_1(X45))))) | hskp15)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | ![X47: $i] : (ndr1_0 => ((c2_1(X47) | (~c0_1(X47))) | (~c1_1(X47))))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c1_1(X48))) | (~c3_1(X48)))))) & (![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c3_1(X51)) | (~c2_1(X51)))) | ![X52: $i] : (ndr1_0 => ((c3_1(X52) | (~c0_1(X52))) | (~c1_1(X52))))) | hskp10)) & ((![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c1_1(X54))))) | hskp16)) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | (~c0_1(X55))) | (~c3_1(X55)))) | hskp14) | hskp10)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | hskp16) | hskp8)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | (~c2_1(X57))) | (~c3_1(X57)))) | hskp26) | hskp17)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58)))) | hskp18) | hskp14)) & ((![X59: $i] : (ndr1_0 => ((c1_1(X59) | (~c2_1(X59))) | (~c3_1(X59)))) | hskp19) | hskp5)) & (![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c2_1(X60))) | (~c3_1(X60)))) | hskp13)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c2_1(X61))) | (~c3_1(X61)))) | hskp6) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c2_1(X62) | c3_1(X62)) | (~c0_1(X62)))) | ![X63: $i] : (ndr1_0 => (((~c0_1(X63)) | (~c2_1(X63))) | (~c3_1(X63))))) | hskp8)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp20) | hskp10)) & ((![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c0_1(X65)))) | hskp12) | hskp5)) & ((![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | hskp1) | hskp17)) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c1_1(X68))) | (~c2_1(X68))))) | hskp5)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | (~c0_1(X69))) | (~c1_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c1_1(X70))) | (~c3_1(X70))))) | ![X71: $i] : (ndr1_0 => (((~c0_1(X71)) | (~c1_1(X71))) | (~c3_1(X71)))))) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | (~c0_1(X72))) | (~c1_1(X72)))) | hskp6) | hskp3)) & ((![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c1_1(X73))) | (~c2_1(X73)))) | hskp28) | hskp18)) & ((![X74: $i] : (ndr1_0 => ((c3_1(X74) | (~c1_1(X74))) | (~c2_1(X74)))) | hskp12) | hskp21)) & ((![X75: $i] : (ndr1_0 => (((~c0_1(X75)) | (~c2_1(X75))) | (~c3_1(X75)))) | hskp26) | hskp1)) & ((![X76: $i] : (ndr1_0 => (((~c1_1(X76)) | (~c2_1(X76))) | (~c3_1(X76)))) | hskp9) | hskp22)) & ((![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77)))) | hskp12) | hskp8)) & ((hskp23 | hskp24) | hskp16)) & ((hskp18 | hskp19) | hskp13)) & ((hskp18 | hskp25) | hskp17)) & ((hskp9 | hskp14) | hskp2)) & ((hskp20 | hskp29) | hskp0)) & ((hskp20 | hskp3) | hskp8)) & ((hskp14 | hskp16) | hskp21)) & ((hskp14 | hskp12) | hskp11)) & ((hskp14 | hskp1) | hskp3)) & ((hskp29 | hskp24) | hskp11)) & ((hskp6 | hskp22) | hskp17)) & ((hskp15 | hskp22) | hskp17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.20/0.52 tff(24,plain,
% 0.20/0.52 (((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) & ((~hskp1) | (ndr1_0 & c2_1(a97) & c3_1(a97) & (~c1_1(a97)))) & ((~hskp2) | (ndr1_0 & c1_1(a98) & (~c0_1(a98)) & (~c3_1(a98)))) & ((~hskp3) | (ndr1_0 & c2_1(a99) & (~c1_1(a99)) & (~c3_1(a99)))) & ((~hskp4) | (ndr1_0 & c2_1(a100) & (~c0_1(a100)) & (~c1_1(a100)))) & ((~hskp5) | (ndr1_0 & c3_1(a101) & (~c1_1(a101)) & (~c2_1(a101)))) & ((~hskp6) | (ndr1_0 & c1_1(a102) & c2_1(a102) & (~c3_1(a102)))) & ((~hskp7) | (ndr1_0 & c0_1(a103) & (~c1_1(a103)) & (~c3_1(a103)))) & ((~hskp8) | (ndr1_0 & (~c0_1(a104)) & (~c2_1(a104)) & (~c3_1(a104)))) & ((~hskp9) | (ndr1_0 & c0_1(a105) & c2_1(a105) & (~c1_1(a105)))) & ((~hskp10) | (ndr1_0 & c1_1(a106) & c3_1(a106) & (~c2_1(a106)))) & ((~hskp11) | (ndr1_0 & c2_1(a109) & (~c0_1(a109)) & (~c3_1(a109)))) & ((~hskp12) | (ndr1_0 & c2_1(a110) & c3_1(a110) & (~c0_1(a110)))) & ((~hskp13) | (ndr1_0 & c0_1(a112) & c3_1(a112) & (~c1_1(a112)))) & ((~hskp14) | (ndr1_0 & c0_1(a115) & (~c2_1(a115)) & (~c3_1(a115)))) & ((~hskp15) | (ndr1_0 & c1_1(a116) & c3_1(a116) & (~c0_1(a116)))) & ((~hskp16) | (ndr1_0 & c1_1(a118) & (~c2_1(a118)) & (~c3_1(a118)))) & ((~hskp17) | (ndr1_0 & (~c0_1(a124)) & (~c1_1(a124)) & (~c3_1(a124)))) & ((~hskp18) | (ndr1_0 & c0_1(a125) & c1_1(a125) & (~c3_1(a125)))) & ((~hskp19) | (ndr1_0 & c0_1(a127) & c2_1(a127) & (~c3_1(a127)))) & ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))) & ((~hskp21) | (ndr1_0 & c3_1(a145) & (~c0_1(a145)) & (~c2_1(a145)))) & ((~hskp22) | (ndr1_0 & c3_1(a149) & (~c0_1(a149)) & (~c1_1(a149)))) & ((~hskp23) | (ndr1_0 & c0_1(a152) & c1_1(a152) & (~c2_1(a152)))) & ((~hskp24) | (ndr1_0 & c1_1(a153) & (~c0_1(a153)) & (~c2_1(a153)))) & ((~hskp25) | (ndr1_0 & c0_1(a159) & (~c1_1(a159)) & (~c2_1(a159)))) & ((~hskp26) | (ndr1_0 & c0_1(a94) & c1_1(a94) & c2_1(a94))) & ((~hskp27) | (ndr1_0 & c0_1(a95) & c2_1(a95) & c3_1(a95))) & ((~hskp28) | (ndr1_0 & c0_1(a142) & c1_1(a142) & c3_1(a142))) & ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c3_1(W) | (~c2_1(W)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0))) & (hskp0 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | (~c1_1(Z)) | (~c0_1(Z)) | (~ndr1_0))) & (hskp1 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | (~c2_1(X1)) | (~ndr1_0)) | ![X2: $i] : ((~c3_1(X2)) | (~c2_1(X2)) | (~c0_1(X2)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c3_1(X3)) | (~ndr1_0))) & (hskp4 | hskp5 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | (~c3_1(X4)) | (~ndr1_0))) & (hskp6 | ![X5: $i] : (c2_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c0_1(X6) | (~c1_1(X6)) | (~ndr1_0))) & (hskp7 | ![X7: $i] : (c2_1(X7) | c0_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c0_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c2_1(X9) | c0_1(X9) | (~c3_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c0_1(X10) | (~c3_1(X10)) | (~c2_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c1_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (hskp8 | ![X12: $i] : (c2_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c3_1(X13)) | (~c1_1(X13)) | (~c0_1(X13)) | (~ndr1_0))) & (hskp9 | ![X14: $i] : (c0_1(X14) | c3_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c3_1(X15) | (~c0_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | (~c3_1(X17)) | (~c0_1(X17)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | (~c3_1(X18)) | (~c1_1(X18)) | (~ndr1_0))) & (![X19: $i] : (c0_1(X19) | c3_1(X19) | (~c2_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c1_1(X20)) | (~c2_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c0_1(X21) | (~c3_1(X21)) | (~c1_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c0_1(X22) | c3_1(X22) | (~c2_1(X22)) | (~ndr1_0)) | ![X23: $i] : (c2_1(X23) | c1_1(X23) | c3_1(X23) | (~ndr1_0)) | ![X24: $i] : (c2_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp10 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c1_1(X26) | c3_1(X26) | (~c2_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c2_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c2_1(X28) | (~c3_1(X28)) | (~c0_1(X28)) | (~ndr1_0)) | ![X29: $i] : ((~c1_1(X29)) | (~c2_1(X29)) | (~c0_1(X29)) | (~ndr1_0))) & (hskp1 | ![X30: $i] : (c0_1(X30) | (~c1_1(X30)) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : ((~c3_1(X31)) | (~c2_1(X31)) | (~c0_1(X31)) | (~ndr1_0))) & (hskp11 | hskp26 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp12 | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c1_1(X33)) | (~ndr1_0)) | ![X34: $i] : (c1_1(X34) | c3_1(X34) | (~c0_1(X34)) | (~ndr1_0))) & (hskp3 | ![X35: $i] : (c2_1(X35) | c1_1(X35) | c3_1(X35) | (~ndr1_0)) | ![X36: $i] : ((~c3_1(X36)) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X37: $i] : (c2_1(X37) | c1_1(X37) | c3_1(X37) | (~ndr1_0))) & (hskp1 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X41: $i] : (c2_1(X41) | (~c3_1(X41)) | (~c1_1(X41)) | (~ndr1_0)) | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c3_1(X40)) | (~ndr1_0))) & (hskp14 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | c1_1(X43) | (~c3_1(X43)) | (~ndr1_0))) & (hskp15 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0)) | ![X45: $i] : (c2_1(X45) | (~c3_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0)) | ![X47: $i] : (c2_1(X47) | (~c1_1(X47)) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c1_1(X48)) | (~c0_1(X48)) | (~ndr1_0))) & (![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) & (hskp10 | ![X51: $i] : (c1_1(X51) | c3_1(X51) | (~c2_1(X51)) | (~ndr1_0)) | ![X52: $i] : (c3_1(X52) | (~c1_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp16 | ![X53: $i] : (c1_1(X53) | (~c3_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c1_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) & (hskp8 | hskp16 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp17 | hskp26 | ![X57: $i] : (c1_1(X57) | (~c3_1(X57)) | (~c2_1(X57)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c2_1(X58)) | (~ndr1_0))) & (hskp5 | hskp19 | ![X59: $i] : (c1_1(X59) | (~c3_1(X59)) | (~c2_1(X59)) | (~ndr1_0))) & (hskp13 | ![X60: $i] : (c1_1(X60) | (~c3_1(X60)) | (~c2_1(X60)) | (~ndr1_0))) & (hskp4 | hskp6 | ![X61: $i] : (c1_1(X61) | (~c3_1(X61)) | (~c2_1(X61)) | (~ndr1_0))) & (hskp8 | ![X62: $i] : (c2_1(X62) | c3_1(X62) | (~c0_1(X62)) | (~ndr1_0)) | ![X63: $i] : ((~c3_1(X63)) | (~c2_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp10 | hskp20 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (hskp5 | hskp12 | ![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c0_1(X65)) | (~ndr1_0))) & (hskp1 | hskp17 | ![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) & (hskp5 | ![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c1_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c2_1(X69) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c3_1(X70)) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c0_1(X71)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X72: $i] : (c2_1(X72) | (~c1_1(X72)) | (~c0_1(X72)) | (~ndr1_0))) & (hskp18 | hskp28 | ![X73: $i] : (c3_1(X73) | (~c1_1(X73)) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | hskp21 | ![X74: $i] : (c3_1(X74) | (~c1_1(X74)) | (~c2_1(X74)) | (~ndr1_0))) & (hskp1 | hskp26 | ![X75: $i] : ((~c3_1(X75)) | (~c2_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp9 | hskp22 | ![X76: $i] : ((~c3_1(X76)) | (~c1_1(X76)) | (~c2_1(X76)) | (~ndr1_0))) & (hskp8 | hskp12 | ![X77: $i] : ((~c3_1(X77)) | (~c1_1(X77)) | (~c2_1(X77)) | (~ndr1_0))) & (hskp16 | hskp23 | hskp24) & (hskp13 | hskp18 | hskp19) & (hskp17 | hskp18 | hskp25) & (hskp2 | hskp9 | hskp14) & (hskp0 | hskp20 | hskp29) & (hskp3 | hskp8 | hskp20) & (hskp14 | hskp16 | hskp21) & (hskp11 | hskp12 | hskp14) & (hskp1 | hskp3 | hskp14) & (hskp11 | hskp24 | hskp29) & (hskp6 | hskp17 | hskp22) & (hskp15 | hskp17 | hskp22)),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.20/0.53 tff(25,plain,
% 0.20/0.53 ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))),
% 0.20/0.53 inference(and_elim,[status(thm)],[24])).
% 0.20/0.53 tff(26,plain,
% 0.20/0.53 ((~hskp20) | (ndr1_0 & c0_1(a133) & c3_1(a133) & (~c2_1(a133)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.20/0.53 tff(27,plain,
% 0.20/0.53 ((~hskp20) | (~(c2_1(a133) | (~ndr1_0) | (~c0_1(a133)) | (~c3_1(a133))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[26, 17])).
% 0.20/0.53 tff(28,plain,
% 0.20/0.53 (~hskp20),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[27, 16])).
% 0.20/0.53 tff(29,plain,
% 0.20/0.53 ((c1_1(a96) | c2_1(a96) | c3_1(a96) | (~ndr1_0)) | ndr1_0),
% 0.20/0.53 inference(tautology,[status(thm)],[])).
% 0.20/0.53 tff(30,plain,
% 0.20/0.53 (c1_1(a96) | c2_1(a96) | c3_1(a96) | (~ndr1_0)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[29, 14])).
% 0.20/0.53 tff(31,plain,
% 0.20/0.53 (((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) <=> ((~hskp0) | (~(c1_1(a96) | c2_1(a96) | c3_1(a96) | (~ndr1_0))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(32,plain,
% 0.20/0.53 (((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))) <=> ((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(33,plain,
% 0.20/0.53 ((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))),
% 0.20/0.53 inference(and_elim,[status(thm)],[24])).
% 0.20/0.53 tff(34,plain,
% 0.20/0.53 ((~hskp0) | (ndr1_0 & (~c1_1(a96)) & (~c2_1(a96)) & (~c3_1(a96)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.20/0.53 tff(35,plain,
% 0.20/0.53 ((~hskp0) | (~(c1_1(a96) | c2_1(a96) | c3_1(a96) | (~ndr1_0)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[34, 31])).
% 0.20/0.53 tff(36,plain,
% 0.20/0.53 (~hskp0),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[35, 30])).
% 0.20/0.53 tff(37,plain,
% 0.20/0.53 (((~ndr1_0) | (~c1_1(a165)) | (~c2_1(a165)) | (~c3_1(a165))) | ndr1_0),
% 0.20/0.53 inference(tautology,[status(thm)],[])).
% 0.20/0.53 tff(38,plain,
% 0.20/0.53 ((~ndr1_0) | (~c1_1(a165)) | (~c2_1(a165)) | (~c3_1(a165))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[37, 14])).
% 0.20/0.53 tff(39,plain,
% 0.20/0.53 (((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) <=> ((~hskp29) | (~((~ndr1_0) | (~c1_1(a165)) | (~c2_1(a165)) | (~c3_1(a165)))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(40,plain,
% 0.20/0.53 (((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))) <=> ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(41,plain,
% 0.20/0.53 ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))),
% 0.20/0.53 inference(and_elim,[status(thm)],[24])).
% 0.20/0.53 tff(42,plain,
% 0.20/0.53 ((~hskp29) | (ndr1_0 & c1_1(a165) & c2_1(a165) & c3_1(a165))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.53 tff(43,plain,
% 0.20/0.53 ((~hskp29) | (~((~ndr1_0) | (~c1_1(a165)) | (~c2_1(a165)) | (~c3_1(a165))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[42, 39])).
% 0.20/0.53 tff(44,plain,
% 0.20/0.53 (~hskp29),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[43, 38])).
% 0.20/0.53 tff(45,plain,
% 0.20/0.53 ((hskp0 | hskp20 | hskp29) <=> (hskp0 | hskp20 | hskp29)),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(46,plain,
% 0.20/0.53 (hskp0 | hskp20 | hskp29),
% 0.20/0.53 inference(and_elim,[status(thm)],[24])).
% 0.20/0.53 tff(47,plain,
% 0.20/0.53 (hskp0 | hskp20 | hskp29),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.53 tff(48,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[47, 44, 36, 28])).
% 0.20/0.53 tff(49,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(50,plain,
% 0.20/0.53 (((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | (c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112)))) <=> ((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(51,plain,
% 0.20/0.53 ((c1_1(a112) | (~c3_1(a112)) | (~c0_1(a112)) | (~ndr1_0)) <=> (c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(52,plain,
% 0.20/0.53 (((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | (c1_1(a112) | (~c3_1(a112)) | (~c0_1(a112)) | (~ndr1_0))) <=> ((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | (c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[51])).
% 0.20/0.53 tff(53,plain,
% 0.20/0.53 (((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | (c1_1(a112) | (~c3_1(a112)) | (~c0_1(a112)) | (~ndr1_0))) <=> ((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112)))),
% 0.20/0.53 inference(transitivity,[status(thm)],[52, 50])).
% 0.20/0.53 tff(54,plain,
% 0.20/0.53 ((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | (c1_1(a112) | (~c3_1(a112)) | (~c0_1(a112)) | (~ndr1_0))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(55,plain,
% 0.20/0.53 ((~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) | c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.53 tff(56,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[55, 49, 13, 11, 9, 7])).
% 0.20/0.53 tff(57,plain,((c1_1(a112) | (~ndr1_0) | (~c0_1(a112)) | (~c3_1(a112))) | (~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(58,plain,
% 0.20/0.53 (~![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[57, 6])).
% 0.20/0.53 tff(59,plain,
% 0.20/0.53 ((hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) <=> (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(60,plain,
% 0.20/0.53 ((hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))) <=> (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(61,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(and_elim,[status(thm)],[24])).
% 0.20/0.53 tff(62,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.20/0.53 tff(63,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[62, 60])).
% 0.20/0.53 tff(64,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[63, 60])).
% 0.20/0.53 tff(65,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.20/0.53 tff(66,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[65, 60])).
% 0.20/0.53 tff(67,plain,
% 0.20/0.53 (hskp10 | hskp14 | ![X55: $i] : (c1_1(X55) | (~c3_1(X55)) | (~c0_1(X55)) | (~ndr1_0))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[66, 60])).
% 0.20/0.53 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------