TSTP Solution File: SYN443+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN443+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 23:55:26 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN443+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 03:41:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 tff(hskp29_type, type, (
% 0.20/0.41 hskp29: $o)).
% 0.20/0.41 tff(c2_1_type, type, (
% 0.20/0.41 c2_1: $i > $o)).
% 0.20/0.41 tff(a25_type, type, (
% 0.20/0.41 a25: $i)).
% 0.20/0.41 tff(c1_1_type, type, (
% 0.20/0.41 c1_1: $i > $o)).
% 0.20/0.41 tff(c0_1_type, type, (
% 0.20/0.41 c0_1: $i > $o)).
% 0.20/0.41 tff(ndr1_0_type, type, (
% 0.20/0.41 ndr1_0: $o)).
% 0.20/0.41 tff(c3_1_type, type, (
% 0.20/0.41 c3_1: $i > $o)).
% 0.20/0.41 tff(a3_type, type, (
% 0.20/0.41 a3: $i)).
% 0.20/0.41 tff(hskp2_type, type, (
% 0.20/0.41 hskp2: $o)).
% 0.20/0.41 tff(hskp15_type, type, (
% 0.20/0.41 hskp15: $o)).
% 0.20/0.41 tff(a27_type, type, (
% 0.20/0.41 a27: $i)).
% 0.20/0.41 tff(a64_type, type, (
% 0.20/0.41 a64: $i)).
% 0.20/0.41 tff(hskp25_type, type, (
% 0.20/0.41 hskp25: $o)).
% 0.20/0.41 tff(a1_type, type, (
% 0.20/0.41 a1: $i)).
% 0.20/0.41 tff(hskp0_type, type, (
% 0.20/0.41 hskp0: $o)).
% 0.20/0.41 tff(a43_type, type, (
% 0.20/0.41 a43: $i)).
% 0.20/0.41 tff(hskp22_type, type, (
% 0.20/0.41 hskp22: $o)).
% 0.20/0.41 tff(a19_type, type, (
% 0.20/0.41 a19: $i)).
% 0.20/0.41 tff(hskp11_type, type, (
% 0.20/0.41 hskp11: $o)).
% 0.20/0.41 tff(hskp26_type, type, (
% 0.20/0.41 hskp26: $o)).
% 0.20/0.41 tff(hskp18_type, type, (
% 0.20/0.41 hskp18: $o)).
% 0.20/0.41 tff(hskp7_type, type, (
% 0.20/0.41 hskp7: $o)).
% 0.20/0.41 tff(hskp24_type, type, (
% 0.20/0.41 hskp24: $o)).
% 0.20/0.41 tff(hskp23_type, type, (
% 0.20/0.41 hskp23: $o)).
% 0.20/0.41 tff(hskp30_type, type, (
% 0.20/0.41 hskp30: $o)).
% 0.20/0.41 tff(hskp27_type, type, (
% 0.20/0.41 hskp27: $o)).
% 0.20/0.41 tff(hskp17_type, type, (
% 0.20/0.41 hskp17: $o)).
% 0.20/0.41 tff(hskp20_type, type, (
% 0.20/0.41 hskp20: $o)).
% 0.20/0.41 tff(hskp28_type, type, (
% 0.20/0.41 hskp28: $o)).
% 0.20/0.41 tff(hskp9_type, type, (
% 0.20/0.41 hskp9: $o)).
% 0.20/0.41 tff(hskp1_type, type, (
% 0.20/0.41 hskp1: $o)).
% 0.20/0.41 tff(hskp14_type, type, (
% 0.20/0.41 hskp14: $o)).
% 0.20/0.41 tff(hskp19_type, type, (
% 0.20/0.41 hskp19: $o)).
% 0.20/0.41 tff(hskp4_type, type, (
% 0.20/0.41 hskp4: $o)).
% 0.20/0.41 tff(hskp16_type, type, (
% 0.20/0.41 hskp16: $o)).
% 0.20/0.41 tff(hskp13_type, type, (
% 0.20/0.41 hskp13: $o)).
% 0.20/0.41 tff(hskp5_type, type, (
% 0.20/0.41 hskp5: $o)).
% 0.20/0.41 tff(hskp21_type, type, (
% 0.20/0.41 hskp21: $o)).
% 0.20/0.41 tff(hskp3_type, type, (
% 0.20/0.41 hskp3: $o)).
% 0.20/0.41 tff(hskp12_type, type, (
% 0.20/0.41 hskp12: $o)).
% 0.20/0.41 tff(hskp6_type, type, (
% 0.20/0.41 hskp6: $o)).
% 0.20/0.41 tff(hskp10_type, type, (
% 0.20/0.41 hskp10: $o)).
% 0.20/0.41 tff(hskp8_type, type, (
% 0.20/0.41 hskp8: $o)).
% 0.20/0.41 tff(a33_type, type, (
% 0.20/0.41 a33: $i)).
% 0.20/0.41 tff(a15_type, type, (
% 0.20/0.41 a15: $i)).
% 0.20/0.41 tff(a10_type, type, (
% 0.20/0.41 a10: $i)).
% 0.20/0.41 tff(a92_type, type, (
% 0.20/0.41 a92: $i)).
% 0.20/0.41 tff(a58_type, type, (
% 0.20/0.41 a58: $i)).
% 0.20/0.41 tff(a52_type, type, (
% 0.20/0.41 a52: $i)).
% 0.20/0.41 tff(a42_type, type, (
% 0.20/0.41 a42: $i)).
% 0.20/0.41 tff(a38_type, type, (
% 0.20/0.41 a38: $i)).
% 0.20/0.41 tff(a36_type, type, (
% 0.20/0.41 a36: $i)).
% 0.20/0.41 tff(a34_type, type, (
% 0.20/0.41 a34: $i)).
% 0.20/0.41 tff(a32_type, type, (
% 0.20/0.41 a32: $i)).
% 0.20/0.41 tff(a31_type, type, (
% 0.20/0.41 a31: $i)).
% 0.20/0.41 tff(a26_type, type, (
% 0.20/0.41 a26: $i)).
% 0.20/0.41 tff(a22_type, type, (
% 0.20/0.41 a22: $i)).
% 0.20/0.41 tff(a21_type, type, (
% 0.20/0.41 a21: $i)).
% 0.20/0.41 tff(a18_type, type, (
% 0.20/0.41 a18: $i)).
% 0.20/0.41 tff(a12_type, type, (
% 0.20/0.41 a12: $i)).
% 0.20/0.41 tff(a11_type, type, (
% 0.20/0.41 a11: $i)).
% 0.20/0.41 tff(a9_type, type, (
% 0.20/0.41 a9: $i)).
% 0.20/0.41 tff(a8_type, type, (
% 0.20/0.41 a8: $i)).
% 0.20/0.41 tff(a6_type, type, (
% 0.20/0.41 a6: $i)).
% 0.20/0.41 tff(a5_type, type, (
% 0.20/0.41 a5: $i)).
% 0.20/0.41 tff(a4_type, type, (
% 0.20/0.41 a4: $i)).
% 0.20/0.41 tff(a2_type, type, (
% 0.20/0.41 a2: $i)).
% 0.20/0.41 tff(1,assumption,(~![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.41 tff(2,assumption,(~hskp22), introduced(assumption)).
% 0.20/0.41 tff(3,plain,
% 0.20/0.41 ((hskp11 | hskp22) <=> (hskp11 | hskp22)),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(4,plain,
% 0.20/0.41 ((~(~(((~hskp0) | (ndr1_0 & c1_1(a1) & c2_1(a1) & (~c0_1(a1)))) & ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) & ((~hskp2) | (ndr1_0 & c0_1(a3) & c2_1(a3) & (~c1_1(a3)))) & ((~hskp3) | (ndr1_0 & c3_1(a4) & (~c0_1(a4)) & (~c1_1(a4)))) & ((~hskp4) | (ndr1_0 & c2_1(a5) & c3_1(a5) & (~c1_1(a5)))) & ((~hskp5) | (ndr1_0 & c0_1(a6) & c2_1(a6) & (~c3_1(a6)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & (~c2_1(a8)) & (~c3_1(a8)))) & ((~hskp7) | (ndr1_0 & c1_1(a9) & (~c0_1(a9)) & (~c2_1(a9)))) & ((~hskp8) | (ndr1_0 & c1_1(a11) & c2_1(a11) & (~c3_1(a11)))) & ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) & ((~hskp10) | (ndr1_0 & (~c0_1(a18)) & (~c1_1(a18)) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & c0_1(a21) & (~c1_1(a21)) & (~c3_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & (~c0_1(a26)) & (~c1_1(a26)) & (~c2_1(a26)))) & ((~hskp15) | (ndr1_0 & c0_1(a27) & c1_1(a27) & (~c2_1(a27)))) & ((~hskp16) | (ndr1_0 & c2_1(a31) & (~c0_1(a31)) & (~c1_1(a31)))) & ((~hskp17) | (ndr1_0 & c3_1(a32) & (~c0_1(a32)) & (~c2_1(a32)))) & ((~hskp18) | (ndr1_0 & c3_1(a34) & (~c1_1(a34)) & (~c2_1(a34)))) & ((~hskp19) | (ndr1_0 & (~c1_1(a36)) & (~c2_1(a36)) & (~c3_1(a36)))) & ((~hskp20) | (ndr1_0 & c1_1(a38) & c3_1(a38) & (~c0_1(a38)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c0_1(a42)))) & ((~hskp22) | (ndr1_0 & c2_1(a43) & (~c1_1(a43)) & (~c3_1(a43)))) & ((~hskp23) | (ndr1_0 & c0_1(a52) & (~c1_1(a52)) & (~c2_1(a52)))) & ((~hskp24) | (ndr1_0 & c0_1(a58) & c3_1(a58) & (~c1_1(a58)))) & ((~hskp25) | (ndr1_0 & c1_1(a64) & c3_1(a64) & (~c2_1(a64)))) & ((~hskp26) | (ndr1_0 & c2_1(a92) & (~c0_1(a92)) & (~c3_1(a92)))) & ((~hskp27) | (ndr1_0 & c1_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) & ((~hskp29) | (ndr1_0 & c0_1(a25) & c1_1(a25) & c2_1(a25))) & ((~hskp30) | (ndr1_0 & c0_1(a33) & c2_1(a33) & c3_1(a33))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | (~c0_1(W)) | c3_1(W) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c2_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0))) & (![Z: $i] : (c2_1(Z) | c1_1(Z) | c0_1(Z) | (~ndr1_0)) | ![X1: $i] : (c2_1(X1) | c1_1(X1) | (~c0_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c2_1(X2) | (~c0_1(X2)) | c3_1(X2) | (~ndr1_0))) & (hskp1 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | (~c2_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (hskp2 | ![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | (~c0_1(X6)) | c3_1(X6) | (~ndr1_0))) & (hskp3 | ![X7: $i] : (c1_1(X7) | c0_1(X7) | c3_1(X7) | (~ndr1_0)) | ![X8: $i] : (c2_1(X8) | (~c0_1(X8)) | (~c3_1(X8)) | (~ndr1_0))) & (hskp4 | ![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) & (hskp0 | hskp5 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c2_1(X10)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0))) & (hskp8 | hskp27 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0))) & (hskp3 | hskp9 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0))) & (hskp6 | ![X14: $i] : (c2_1(X14) | c0_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c0_1(X15) | (~c3_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c2_1(X16) | c0_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | (~c0_1(X18)) | c3_1(X18) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c1_1(X17)) | (~ndr1_0))) & (hskp27 | hskp28 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c1_1(X19)) | (~ndr1_0))) & (hskp9 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | (~c3_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c1_1(X21) | (~c0_1(X21)) | c3_1(X21) | (~ndr1_0))) & (hskp10 | ![X22: $i] : (c2_1(X22) | c0_1(X22) | (~c3_1(X22)) | (~ndr1_0)) | ![X23: $i] : ((~c2_1(X23)) | (~c0_1(X23)) | (~c3_1(X23)) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c3_1(X25)) | (~ndr1_0))) & (hskp0 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c1_1(X27) | (~c2_1(X27)) | c3_1(X27) | (~ndr1_0))) & (hskp3 | ![X28: $i] : (c0_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c0_1(X29)) | c3_1(X29) | (~ndr1_0))) & (hskp14 | hskp29 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | c3_1(X30) | (~ndr1_0))) & (![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c1_1(X32) | (~c2_1(X32)) | c3_1(X32) | (~ndr1_0)) | ![X33: $i] : (c2_1(X33) | (~c0_1(X33)) | (~c3_1(X33)) | (~ndr1_0))) & (hskp4 | hskp15 | ![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0))) & (![X35: $i] : (c0_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c1_1(X36) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0)) | ![X37: $i] : ((~c2_1(X37)) | (~c0_1(X37)) | c3_1(X37) | (~ndr1_0))) & (hskp5 | ![X38: $i] : (c0_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c2_1(X39)) | (~c0_1(X39)) | (~ndr1_0))) & (hskp9 | hskp16 | ![X40: $i] : (c0_1(X40) | (~c2_1(X40)) | (~c3_1(X40)) | (~ndr1_0))) & (hskp17 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | c3_1(X41) | (~ndr1_0)) | ![X42: $i] : (c1_1(X42) | (~c0_1(X42)) | c3_1(X42) | (~ndr1_0))) & (hskp18 | hskp30 | ![X43: $i] : (c2_1(X43) | c1_1(X43) | c3_1(X43) | (~ndr1_0))) & (hskp1 | hskp19 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | c3_1(X44) | (~ndr1_0))) & (hskp20 | hskp29 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp1 | hskp13 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c0_1(X46)) | (~ndr1_0))) & (hskp0 | hskp21 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | (~c0_1(X47)) | (~ndr1_0))) & (hskp22 | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c1_1(X49) | (~c2_1(X49)) | (~c3_1(X49)) | (~ndr1_0))) & (hskp0 | ![X50: $i] : (c2_1(X50) | c1_1(X50) | (~c3_1(X50)) | (~ndr1_0)) | ![X51: $i] : ((~c0_1(X51)) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp5 | ![X52: $i] : (c2_1(X52) | c1_1(X52) | (~c3_1(X52)) | (~ndr1_0)) | ![X53: $i] : ((~c2_1(X53)) | (~c0_1(X53)) | c3_1(X53) | (~ndr1_0))) & (hskp29 | ![X54: $i] : (c2_1(X54) | c1_1(X54) | (~c3_1(X54)) | (~ndr1_0)) | ![X55: $i] : ((~c2_1(X55)) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp29 | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | c3_1(X56) | (~ndr1_0)) | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp13 | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c0_1(X58)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c0_1(X59)) | c3_1(X59) | (~ndr1_0))) & (![X60: $i] : (c1_1(X60) | (~c2_1(X60)) | (~c0_1(X60)) | (~ndr1_0)) | ![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | (~c3_1(X62)) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c1_1(X63) | (~c0_1(X63)) | (~c3_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | c3_1(X64) | (~c1_1(X64)) | (~ndr1_0))) & (hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0)) | ![X66: $i] : ((~c2_1(X66)) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp2 | hskp23 | ![X67: $i] : (c1_1(X67) | (~c2_1(X67)) | (~c3_1(X67)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X68: $i] : (c1_1(X68) | (~c2_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) & (hskp2 | hskp4 | ![X71: $i] : (c2_1(X71) | (~c0_1(X71)) | c3_1(X71) | (~ndr1_0))) & (hskp24 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0)) | ![X73: $i] : ((~c2_1(X73)) | (~c0_1(X73)) | c3_1(X73) | (~ndr1_0))) & (hskp19 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X75: $i] : (c2_1(X75) | (~c3_1(X75)) | (~c1_1(X75)) | (~ndr1_0))) & (hskp25 | hskp27 | ![X76: $i] : ((~c2_1(X76)) | c3_1(X76) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : ((~c2_1(X79)) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c0_1(X77)) | (~c1_1(X77)) | (~ndr1_0)) | ![X78: $i] : ((~c0_1(X78)) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp1 | hskp9 | hskp28) & (hskp7 | hskp9 | hskp28) & (hskp2 | hskp15 | hskp25) & (hskp7 | hskp11 | hskp20) & (hskp11 | hskp22) & (hskp2 | hskp18 | hskp30) & (hskp7 | hskp27 | hskp30) & (hskp17 | hskp27 | hskp30) & (hskp2 | hskp23 | hskp24) & (hskp7 | hskp18 | hskp26)))) <=> (((~hskp0) | (ndr1_0 & c1_1(a1) & c2_1(a1) & (~c0_1(a1)))) & ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) & ((~hskp2) | (ndr1_0 & c0_1(a3) & c2_1(a3) & (~c1_1(a3)))) & ((~hskp3) | (ndr1_0 & c3_1(a4) & (~c0_1(a4)) & (~c1_1(a4)))) & ((~hskp4) | (ndr1_0 & c2_1(a5) & c3_1(a5) & (~c1_1(a5)))) & ((~hskp5) | (ndr1_0 & c0_1(a6) & c2_1(a6) & (~c3_1(a6)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & (~c2_1(a8)) & (~c3_1(a8)))) & ((~hskp7) | (ndr1_0 & c1_1(a9) & (~c0_1(a9)) & (~c2_1(a9)))) & ((~hskp8) | (ndr1_0 & c1_1(a11) & c2_1(a11) & (~c3_1(a11)))) & ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) & ((~hskp10) | (ndr1_0 & (~c0_1(a18)) & (~c1_1(a18)) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & c0_1(a21) & (~c1_1(a21)) & (~c3_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & (~c0_1(a26)) & (~c1_1(a26)) & (~c2_1(a26)))) & ((~hskp15) | (ndr1_0 & c0_1(a27) & c1_1(a27) & (~c2_1(a27)))) & ((~hskp16) | (ndr1_0 & c2_1(a31) & (~c0_1(a31)) & (~c1_1(a31)))) & ((~hskp17) | (ndr1_0 & c3_1(a32) & (~c0_1(a32)) & (~c2_1(a32)))) & ((~hskp18) | (ndr1_0 & c3_1(a34) & (~c1_1(a34)) & (~c2_1(a34)))) & ((~hskp19) | (ndr1_0 & (~c1_1(a36)) & (~c2_1(a36)) & (~c3_1(a36)))) & ((~hskp20) | (ndr1_0 & c1_1(a38) & c3_1(a38) & (~c0_1(a38)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c0_1(a42)))) & ((~hskp22) | (ndr1_0 & c2_1(a43) & (~c1_1(a43)) & (~c3_1(a43)))) & ((~hskp23) | (ndr1_0 & c0_1(a52) & (~c1_1(a52)) & (~c2_1(a52)))) & ((~hskp24) | (ndr1_0 & c0_1(a58) & c3_1(a58) & (~c1_1(a58)))) & ((~hskp25) | (ndr1_0 & c1_1(a64) & c3_1(a64) & (~c2_1(a64)))) & ((~hskp26) | (ndr1_0 & c2_1(a92) & (~c0_1(a92)) & (~c3_1(a92)))) & ((~hskp27) | (ndr1_0 & c1_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) & ((~hskp29) | (ndr1_0 & c0_1(a25) & c1_1(a25) & c2_1(a25))) & ((~hskp30) | (ndr1_0 & c0_1(a33) & c2_1(a33) & c3_1(a33))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | (~c0_1(W)) | c3_1(W) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c2_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0))) & (![Z: $i] : (c2_1(Z) | c1_1(Z) | c0_1(Z) | (~ndr1_0)) | ![X1: $i] : (c2_1(X1) | c1_1(X1) | (~c0_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c2_1(X2) | (~c0_1(X2)) | c3_1(X2) | (~ndr1_0))) & (hskp1 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | (~c2_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (hskp2 | ![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | (~c0_1(X6)) | c3_1(X6) | (~ndr1_0))) & (hskp3 | ![X7: $i] : (c1_1(X7) | c0_1(X7) | c3_1(X7) | (~ndr1_0)) | ![X8: $i] : (c2_1(X8) | (~c0_1(X8)) | (~c3_1(X8)) | (~ndr1_0))) & (hskp4 | ![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) & (hskp0 | hskp5 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c2_1(X10)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0))) & (hskp8 | hskp27 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0))) & (hskp3 | hskp9 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0))) & (hskp6 | ![X14: $i] : (c2_1(X14) | c0_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c0_1(X15) | (~c3_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c2_1(X16) | c0_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | (~c0_1(X18)) | c3_1(X18) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c1_1(X17)) | (~ndr1_0))) & (hskp27 | hskp28 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c1_1(X19)) | (~ndr1_0))) & (hskp9 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | (~c3_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c1_1(X21) | (~c0_1(X21)) | c3_1(X21) | (~ndr1_0))) & (hskp10 | ![X22: $i] : (c2_1(X22) | c0_1(X22) | (~c3_1(X22)) | (~ndr1_0)) | ![X23: $i] : ((~c2_1(X23)) | (~c0_1(X23)) | (~c3_1(X23)) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c3_1(X25)) | (~ndr1_0))) & (hskp0 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c1_1(X27) | (~c2_1(X27)) | c3_1(X27) | (~ndr1_0))) & (hskp3 | ![X28: $i] : (c0_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c0_1(X29)) | c3_1(X29) | (~ndr1_0))) & (hskp14 | hskp29 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | c3_1(X30) | (~ndr1_0))) & (![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c1_1(X32) | (~c2_1(X32)) | c3_1(X32) | (~ndr1_0)) | ![X33: $i] : (c2_1(X33) | (~c0_1(X33)) | (~c3_1(X33)) | (~ndr1_0))) & (hskp4 | hskp15 | ![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0))) & (![X35: $i] : (c0_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c1_1(X36) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0)) | ![X37: $i] : ((~c2_1(X37)) | (~c0_1(X37)) | c3_1(X37) | (~ndr1_0))) & (hskp5 | ![X38: $i] : (c0_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c2_1(X39)) | (~c0_1(X39)) | (~ndr1_0))) & (hskp9 | hskp16 | ![X40: $i] : (c0_1(X40) | (~c2_1(X40)) | (~c3_1(X40)) | (~ndr1_0))) & (hskp17 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | c3_1(X41) | (~ndr1_0)) | ![X42: $i] : (c1_1(X42) | (~c0_1(X42)) | c3_1(X42) | (~ndr1_0))) & (hskp18 | hskp30 | ![X43: $i] : (c2_1(X43) | c1_1(X43) | c3_1(X43) | (~ndr1_0))) & (hskp1 | hskp19 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | c3_1(X44) | (~ndr1_0))) & (hskp20 | hskp29 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp1 | hskp13 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c0_1(X46)) | (~ndr1_0))) & (hskp0 | hskp21 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | (~c0_1(X47)) | (~ndr1_0))) & (hskp22 | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c1_1(X49) | (~c2_1(X49)) | (~c3_1(X49)) | (~ndr1_0))) & (hskp0 | ![X50: $i] : (c2_1(X50) | c1_1(X50) | (~c3_1(X50)) | (~ndr1_0)) | ![X51: $i] : ((~c0_1(X51)) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp5 | ![X52: $i] : (c2_1(X52) | c1_1(X52) | (~c3_1(X52)) | (~ndr1_0)) | ![X53: $i] : ((~c2_1(X53)) | (~c0_1(X53)) | c3_1(X53) | (~ndr1_0))) & (hskp29 | ![X54: $i] : (c2_1(X54) | c1_1(X54) | (~c3_1(X54)) | (~ndr1_0)) | ![X55: $i] : ((~c2_1(X55)) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp29 | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | c3_1(X56) | (~ndr1_0)) | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp13 | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c0_1(X58)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c0_1(X59)) | c3_1(X59) | (~ndr1_0))) & (![X60: $i] : (c1_1(X60) | (~c2_1(X60)) | (~c0_1(X60)) | (~ndr1_0)) | ![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | (~c3_1(X62)) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c1_1(X63) | (~c0_1(X63)) | (~c3_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | c3_1(X64) | (~c1_1(X64)) | (~ndr1_0))) & (hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0)) | ![X66: $i] : ((~c2_1(X66)) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp2 | hskp23 | ![X67: $i] : (c1_1(X67) | (~c2_1(X67)) | (~c3_1(X67)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X68: $i] : (c1_1(X68) | (~c2_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) & (hskp2 | hskp4 | ![X71: $i] : (c2_1(X71) | (~c0_1(X71)) | c3_1(X71) | (~ndr1_0))) & (hskp24 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0)) | ![X73: $i] : ((~c2_1(X73)) | (~c0_1(X73)) | c3_1(X73) | (~ndr1_0))) & (hskp19 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X75: $i] : (c2_1(X75) | (~c3_1(X75)) | (~c1_1(X75)) | (~ndr1_0))) & (hskp25 | hskp27 | ![X76: $i] : ((~c2_1(X76)) | c3_1(X76) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : ((~c2_1(X79)) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c0_1(X77)) | (~c1_1(X77)) | (~ndr1_0)) | ![X78: $i] : ((~c0_1(X78)) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp1 | hskp9 | hskp28) & (hskp7 | hskp9 | hskp28) & (hskp2 | hskp15 | hskp25) & (hskp7 | hskp11 | hskp20) & (hskp11 | hskp22) & (hskp2 | hskp18 | hskp30) & (hskp7 | hskp27 | hskp30) & (hskp17 | hskp27 | hskp30) & (hskp2 | hskp23 | hskp24) & (hskp7 | hskp18 | hskp26))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(5,plain,
% 0.20/0.42 ((~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c1_1(a1)) & c2_1(a1)) & (~c0_1(a1)))) & ((~hskp1) | (((ndr1_0 & c0_1(a2)) & c3_1(a2)) & (~c2_1(a2))))) & ((~hskp2) | (((ndr1_0 & c0_1(a3)) & c2_1(a3)) & (~c1_1(a3))))) & ((~hskp3) | (((ndr1_0 & c3_1(a4)) & (~c0_1(a4))) & (~c1_1(a4))))) & ((~hskp4) | (((ndr1_0 & c2_1(a5)) & c3_1(a5)) & (~c1_1(a5))))) & ((~hskp5) | (((ndr1_0 & c0_1(a6)) & c2_1(a6)) & (~c3_1(a6))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & (~c2_1(a8))) & (~c3_1(a8))))) & ((~hskp7) | (((ndr1_0 & c1_1(a9)) & (~c0_1(a9))) & (~c2_1(a9))))) & ((~hskp8) | (((ndr1_0 & c1_1(a11)) & c2_1(a11)) & (~c3_1(a11))))) & ((~hskp9) | (((ndr1_0 & c1_1(a12)) & (~c2_1(a12))) & (~c3_1(a12))))) & ((~hskp10) | (((ndr1_0 & (~c0_1(a18))) & (~c1_1(a18))) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c0_1(a19)) & c1_1(a19)) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & c0_1(a21)) & (~c1_1(a21))) & (~c3_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & (~c0_1(a26))) & (~c1_1(a26))) & (~c2_1(a26))))) & ((~hskp15) | (((ndr1_0 & c0_1(a27)) & c1_1(a27)) & (~c2_1(a27))))) & ((~hskp16) | (((ndr1_0 & c2_1(a31)) & (~c0_1(a31))) & (~c1_1(a31))))) & ((~hskp17) | (((ndr1_0 & c3_1(a32)) & (~c0_1(a32))) & (~c2_1(a32))))) & ((~hskp18) | (((ndr1_0 & c3_1(a34)) & (~c1_1(a34))) & (~c2_1(a34))))) & ((~hskp19) | (((ndr1_0 & (~c1_1(a36))) & (~c2_1(a36))) & (~c3_1(a36))))) & ((~hskp20) | (((ndr1_0 & c1_1(a38)) & c3_1(a38)) & (~c0_1(a38))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c0_1(a42))))) & ((~hskp22) | (((ndr1_0 & c2_1(a43)) & (~c1_1(a43))) & (~c3_1(a43))))) & ((~hskp23) | (((ndr1_0 & c0_1(a52)) & (~c1_1(a52))) & (~c2_1(a52))))) & ((~hskp24) | (((ndr1_0 & c0_1(a58)) & c3_1(a58)) & (~c1_1(a58))))) & ((~hskp25) | (((ndr1_0 & c1_1(a64)) & c3_1(a64)) & (~c2_1(a64))))) & ((~hskp26) | (((ndr1_0 & c2_1(a92)) & (~c0_1(a92))) & (~c3_1(a92))))) & ((~hskp27) | (((ndr1_0 & c1_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp28) | (((ndr1_0 & c0_1(a15)) & c1_1(a15)) & c3_1(a15)))) & ((~hskp29) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & c2_1(a25)))) & ((~hskp30) | (((ndr1_0 & c0_1(a33)) & c2_1(a33)) & c3_1(a33)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c0_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c2_1(Y)) | c3_1(Y)))) | hskp0)) & ((![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c2_1(Z))) | ![X1: $i] : (ndr1_0 => ((c1_1(X1) | c2_1(X1)) | (~c0_1(X1))))) | ![X2: $i] : (ndr1_0 => ((c2_1(X2) | c3_1(X2)) | (~c0_1(X2)))))) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | (~c0_1(X4))) | (~c2_1(X4))))) | hskp1)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c2_1(X6) | c3_1(X6)) | (~c0_1(X6))))) | hskp2)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c1_1(X7)) | c3_1(X7))) | ![X8: $i] : (ndr1_0 => ((c2_1(X8) | (~c0_1(X8))) | (~c3_1(X8))))) | hskp3)) & (![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | hskp4)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c2_1(X10)))) | hskp5) | hskp0)) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | hskp6) | hskp7)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | hskp27) | hskp8)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | hskp9) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | (~c3_1(X15))))) | hskp6)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c1_1(X17))) | (~c2_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c0_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c1_1(X19)))) | hskp28) | hskp27)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | (~c3_1(X20)))) | ![X21: $i] : (ndr1_0 => ((c1_1(X21) | c3_1(X21)) | (~c0_1(X21))))) | hskp9)) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | (~c3_1(X22)))) | ![X23: $i] : (ndr1_0 => (((~c0_1(X23)) | (~c2_1(X23))) | (~c3_1(X23))))) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c3_1(X24)))) | hskp11) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c3_1(X25)))) | hskp12) | hskp13)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c1_1(X27) | c3_1(X27)) | (~c2_1(X27))))) | hskp0)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | c3_1(X29)) | (~c0_1(X29))))) | hskp3)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c2_1(X30)))) | hskp29) | hskp14)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c1_1(X32) | c3_1(X32)) | (~c2_1(X32))))) | ![X33: $i] : (ndr1_0 => ((c2_1(X33) | (~c0_1(X33))) | (~c3_1(X33)))))) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | hskp15) | hskp4)) & ((![X35: $i] : (ndr1_0 => ((c0_1(X35) | (~c2_1(X35))) | (~c3_1(X35)))) | ![X36: $i] : (ndr1_0 => ((c1_1(X36) | (~c0_1(X36))) | (~c2_1(X36))))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37)))))) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c2_1(X39))))) | hskp5)) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c2_1(X40))) | (~c3_1(X40)))) | hskp9) | hskp16)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | c3_1(X41))) | ![X42: $i] : (ndr1_0 => ((c1_1(X42) | c3_1(X42)) | (~c0_1(X42))))) | hskp17)) & ((![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | c3_1(X43))) | hskp30) | hskp18)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | c3_1(X44))) | hskp1) | hskp19)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp29) | hskp20)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c0_1(X46)))) | hskp1) | hskp13)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | (~c0_1(X47)))) | hskp0) | hskp21)) & ((![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c1_1(X49) | (~c2_1(X49))) | (~c3_1(X49))))) | hskp22)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | c2_1(X50)) | (~c3_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c3_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | hskp0)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c2_1(X52)) | (~c3_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c3_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | hskp5)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | c2_1(X54)) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => (((~c1_1(X55)) | (~c2_1(X55))) | (~c3_1(X55))))) | hskp29)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | c3_1(X56)) | (~c0_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c2_1(X57))) | (~c3_1(X57))))) | hskp29)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c2_1(X58)))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59))))) | hskp13)) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c2_1(X60)))) | ![X61: $i] : (ndr1_0 => ((c2_1(X61) | (~c0_1(X61))) | (~c1_1(X61))))) | ![X62: $i] : (ndr1_0 => (((~c0_1(X62)) | (~c1_1(X62))) | (~c3_1(X62)))))) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | (~c0_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => ((c3_1(X64) | (~c0_1(X64))) | (~c1_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | ![X66: $i] : (ndr1_0 => (((~c1_1(X66)) | (~c2_1(X66))) | (~c3_1(X66))))) | hskp19)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | hskp2) | hskp23)) & ((![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c2_1(X68))) | (~c3_1(X68)))) | hskp1) | hskp0)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | c3_1(X69)) | (~c0_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70))))) | hskp22)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp2) | hskp4)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | ![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c0_1(X73))) | (~c2_1(X73))))) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp22) | hskp19)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c1_1(X75))) | (~c3_1(X75)))) | hskp18) | hskp14)) & ((![X76: $i] : (ndr1_0 => ((c3_1(X76) | (~c1_1(X76))) | (~c2_1(X76)))) | hskp27) | hskp25)) & ((![X77: $i] : (ndr1_0 => (((~c0_1(X77)) | (~c1_1(X77))) | (~c2_1(X77)))) | ![X78: $i] : (ndr1_0 => (((~c0_1(X78)) | (~c1_1(X78))) | (~c3_1(X78))))) | ![X79: $i] : (ndr1_0 => (((~c1_1(X79)) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((hskp28 | hskp1) | hskp9)) & ((hskp28 | hskp7) | hskp9)) & ((hskp15 | hskp2) | hskp25)) & ((hskp11 | hskp20) | hskp7)) & (hskp11 | hskp22)) & ((hskp30 | hskp2) | hskp18)) & ((hskp30 | hskp27) | hskp7)) & ((hskp30 | hskp27) | hskp17)) & ((hskp2 | hskp24) | hskp23)) & ((hskp7 | hskp26) | hskp18))) <=> (~(((~hskp0) | (ndr1_0 & c1_1(a1) & c2_1(a1) & (~c0_1(a1)))) & ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) & ((~hskp2) | (ndr1_0 & c0_1(a3) & c2_1(a3) & (~c1_1(a3)))) & ((~hskp3) | (ndr1_0 & c3_1(a4) & (~c0_1(a4)) & (~c1_1(a4)))) & ((~hskp4) | (ndr1_0 & c2_1(a5) & c3_1(a5) & (~c1_1(a5)))) & ((~hskp5) | (ndr1_0 & c0_1(a6) & c2_1(a6) & (~c3_1(a6)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & (~c2_1(a8)) & (~c3_1(a8)))) & ((~hskp7) | (ndr1_0 & c1_1(a9) & (~c0_1(a9)) & (~c2_1(a9)))) & ((~hskp8) | (ndr1_0 & c1_1(a11) & c2_1(a11) & (~c3_1(a11)))) & ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) & ((~hskp10) | (ndr1_0 & (~c0_1(a18)) & (~c1_1(a18)) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & c0_1(a21) & (~c1_1(a21)) & (~c3_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & (~c0_1(a26)) & (~c1_1(a26)) & (~c2_1(a26)))) & ((~hskp15) | (ndr1_0 & c0_1(a27) & c1_1(a27) & (~c2_1(a27)))) & ((~hskp16) | (ndr1_0 & c2_1(a31) & (~c0_1(a31)) & (~c1_1(a31)))) & ((~hskp17) | (ndr1_0 & c3_1(a32) & (~c0_1(a32)) & (~c2_1(a32)))) & ((~hskp18) | (ndr1_0 & c3_1(a34) & (~c1_1(a34)) & (~c2_1(a34)))) & ((~hskp19) | (ndr1_0 & (~c1_1(a36)) & (~c2_1(a36)) & (~c3_1(a36)))) & ((~hskp20) | (ndr1_0 & c1_1(a38) & c3_1(a38) & (~c0_1(a38)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c0_1(a42)))) & ((~hskp22) | (ndr1_0 & c2_1(a43) & (~c1_1(a43)) & (~c3_1(a43)))) & ((~hskp23) | (ndr1_0 & c0_1(a52) & (~c1_1(a52)) & (~c2_1(a52)))) & ((~hskp24) | (ndr1_0 & c0_1(a58) & c3_1(a58) & (~c1_1(a58)))) & ((~hskp25) | (ndr1_0 & c1_1(a64) & c3_1(a64) & (~c2_1(a64)))) & ((~hskp26) | (ndr1_0 & c2_1(a92) & (~c0_1(a92)) & (~c3_1(a92)))) & ((~hskp27) | (ndr1_0 & c1_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) & ((~hskp29) | (ndr1_0 & c0_1(a25) & c1_1(a25) & c2_1(a25))) & ((~hskp30) | (ndr1_0 & c0_1(a33) & c2_1(a33) & c3_1(a33))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | (~c0_1(W)) | c3_1(W) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c2_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0))) & (![Z: $i] : (c2_1(Z) | c1_1(Z) | c0_1(Z) | (~ndr1_0)) | ![X1: $i] : (c2_1(X1) | c1_1(X1) | (~c0_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c2_1(X2) | (~c0_1(X2)) | c3_1(X2) | (~ndr1_0))) & (hskp1 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | (~c2_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (hskp2 | ![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | (~c0_1(X6)) | c3_1(X6) | (~ndr1_0))) & (hskp3 | ![X7: $i] : (c1_1(X7) | c0_1(X7) | c3_1(X7) | (~ndr1_0)) | ![X8: $i] : (c2_1(X8) | (~c0_1(X8)) | (~c3_1(X8)) | (~ndr1_0))) & (hskp4 | ![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) & (hskp0 | hskp5 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c2_1(X10)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0))) & (hskp8 | hskp27 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0))) & (hskp3 | hskp9 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0))) & (hskp6 | ![X14: $i] : (c2_1(X14) | c0_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c0_1(X15) | (~c3_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c2_1(X16) | c0_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | (~c0_1(X18)) | c3_1(X18) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c1_1(X17)) | (~ndr1_0))) & (hskp27 | hskp28 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c1_1(X19)) | (~ndr1_0))) & (hskp9 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | (~c3_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c1_1(X21) | (~c0_1(X21)) | c3_1(X21) | (~ndr1_0))) & (hskp10 | ![X22: $i] : (c2_1(X22) | c0_1(X22) | (~c3_1(X22)) | (~ndr1_0)) | ![X23: $i] : ((~c2_1(X23)) | (~c0_1(X23)) | (~c3_1(X23)) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c3_1(X25)) | (~ndr1_0))) & (hskp0 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c1_1(X27) | (~c2_1(X27)) | c3_1(X27) | (~ndr1_0))) & (hskp3 | ![X28: $i] : (c0_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c0_1(X29)) | c3_1(X29) | (~ndr1_0))) & (hskp14 | hskp29 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | c3_1(X30) | (~ndr1_0))) & (![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c1_1(X32) | (~c2_1(X32)) | c3_1(X32) | (~ndr1_0)) | ![X33: $i] : (c2_1(X33) | (~c0_1(X33)) | (~c3_1(X33)) | (~ndr1_0))) & (hskp4 | hskp15 | ![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0))) & (![X35: $i] : (c0_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c1_1(X36) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0)) | ![X37: $i] : ((~c2_1(X37)) | (~c0_1(X37)) | c3_1(X37) | (~ndr1_0))) & (hskp5 | ![X38: $i] : (c0_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c2_1(X39)) | (~c0_1(X39)) | (~ndr1_0))) & (hskp9 | hskp16 | ![X40: $i] : (c0_1(X40) | (~c2_1(X40)) | (~c3_1(X40)) | (~ndr1_0))) & (hskp17 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | c3_1(X41) | (~ndr1_0)) | ![X42: $i] : (c1_1(X42) | (~c0_1(X42)) | c3_1(X42) | (~ndr1_0))) & (hskp18 | hskp30 | ![X43: $i] : (c2_1(X43) | c1_1(X43) | c3_1(X43) | (~ndr1_0))) & (hskp1 | hskp19 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | c3_1(X44) | (~ndr1_0))) & (hskp20 | hskp29 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp1 | hskp13 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c0_1(X46)) | (~ndr1_0))) & (hskp0 | hskp21 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | (~c0_1(X47)) | (~ndr1_0))) & (hskp22 | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c1_1(X49) | (~c2_1(X49)) | (~c3_1(X49)) | (~ndr1_0))) & (hskp0 | ![X50: $i] : (c2_1(X50) | c1_1(X50) | (~c3_1(X50)) | (~ndr1_0)) | ![X51: $i] : ((~c0_1(X51)) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp5 | ![X52: $i] : (c2_1(X52) | c1_1(X52) | (~c3_1(X52)) | (~ndr1_0)) | ![X53: $i] : ((~c2_1(X53)) | (~c0_1(X53)) | c3_1(X53) | (~ndr1_0))) & (hskp29 | ![X54: $i] : (c2_1(X54) | c1_1(X54) | (~c3_1(X54)) | (~ndr1_0)) | ![X55: $i] : ((~c2_1(X55)) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp29 | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | c3_1(X56) | (~ndr1_0)) | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp13 | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c0_1(X58)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c0_1(X59)) | c3_1(X59) | (~ndr1_0))) & (![X60: $i] : (c1_1(X60) | (~c2_1(X60)) | (~c0_1(X60)) | (~ndr1_0)) | ![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | (~c3_1(X62)) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c1_1(X63) | (~c0_1(X63)) | (~c3_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | c3_1(X64) | (~c1_1(X64)) | (~ndr1_0))) & (hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0)) | ![X66: $i] : ((~c2_1(X66)) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp2 | hskp23 | ![X67: $i] : (c1_1(X67) | (~c2_1(X67)) | (~c3_1(X67)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X68: $i] : (c1_1(X68) | (~c2_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) & (hskp2 | hskp4 | ![X71: $i] : (c2_1(X71) | (~c0_1(X71)) | c3_1(X71) | (~ndr1_0))) & (hskp24 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0)) | ![X73: $i] : ((~c2_1(X73)) | (~c0_1(X73)) | c3_1(X73) | (~ndr1_0))) & (hskp19 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X75: $i] : (c2_1(X75) | (~c3_1(X75)) | (~c1_1(X75)) | (~ndr1_0))) & (hskp25 | hskp27 | ![X76: $i] : ((~c2_1(X76)) | c3_1(X76) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : ((~c2_1(X79)) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c0_1(X77)) | (~c1_1(X77)) | (~ndr1_0)) | ![X78: $i] : ((~c0_1(X78)) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp1 | hskp9 | hskp28) & (hskp7 | hskp9 | hskp28) & (hskp2 | hskp15 | hskp25) & (hskp7 | hskp11 | hskp20) & (hskp11 | hskp22) & (hskp2 | hskp18 | hskp30) & (hskp7 | hskp27 | hskp30) & (hskp17 | hskp27 | hskp30) & (hskp2 | hskp23 | hskp24) & (hskp7 | hskp18 | hskp26)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(6,plain,
% 0.20/0.43 ((~(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c1_1(a1)) & c2_1(a1)) & (~c0_1(a1)))) & ((~hskp1) | (((ndr1_0 & c0_1(a2)) & c3_1(a2)) & (~c2_1(a2))))) & ((~hskp2) | (((ndr1_0 & c0_1(a3)) & c2_1(a3)) & (~c1_1(a3))))) & ((~hskp3) | (((ndr1_0 & c3_1(a4)) & (~c0_1(a4))) & (~c1_1(a4))))) & ((~hskp4) | (((ndr1_0 & c2_1(a5)) & c3_1(a5)) & (~c1_1(a5))))) & ((~hskp5) | (((ndr1_0 & c0_1(a6)) & c2_1(a6)) & (~c3_1(a6))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & (~c2_1(a8))) & (~c3_1(a8))))) & ((~hskp7) | (((ndr1_0 & c1_1(a9)) & (~c0_1(a9))) & (~c2_1(a9))))) & ((~hskp8) | (((ndr1_0 & c1_1(a11)) & c2_1(a11)) & (~c3_1(a11))))) & ((~hskp9) | (((ndr1_0 & c1_1(a12)) & (~c2_1(a12))) & (~c3_1(a12))))) & ((~hskp10) | (((ndr1_0 & (~c0_1(a18))) & (~c1_1(a18))) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c0_1(a19)) & c1_1(a19)) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & c0_1(a21)) & (~c1_1(a21))) & (~c3_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & (~c0_1(a26))) & (~c1_1(a26))) & (~c2_1(a26))))) & ((~hskp15) | (((ndr1_0 & c0_1(a27)) & c1_1(a27)) & (~c2_1(a27))))) & ((~hskp16) | (((ndr1_0 & c2_1(a31)) & (~c0_1(a31))) & (~c1_1(a31))))) & ((~hskp17) | (((ndr1_0 & c3_1(a32)) & (~c0_1(a32))) & (~c2_1(a32))))) & ((~hskp18) | (((ndr1_0 & c3_1(a34)) & (~c1_1(a34))) & (~c2_1(a34))))) & ((~hskp19) | (((ndr1_0 & (~c1_1(a36))) & (~c2_1(a36))) & (~c3_1(a36))))) & ((~hskp20) | (((ndr1_0 & c1_1(a38)) & c3_1(a38)) & (~c0_1(a38))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c0_1(a42))))) & ((~hskp22) | (((ndr1_0 & c2_1(a43)) & (~c1_1(a43))) & (~c3_1(a43))))) & ((~hskp23) | (((ndr1_0 & c0_1(a52)) & (~c1_1(a52))) & (~c2_1(a52))))) & ((~hskp24) | (((ndr1_0 & c0_1(a58)) & c3_1(a58)) & (~c1_1(a58))))) & ((~hskp25) | (((ndr1_0 & c1_1(a64)) & c3_1(a64)) & (~c2_1(a64))))) & ((~hskp26) | (((ndr1_0 & c2_1(a92)) & (~c0_1(a92))) & (~c3_1(a92))))) & ((~hskp27) | (((ndr1_0 & c1_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp28) | (((ndr1_0 & c0_1(a15)) & c1_1(a15)) & c3_1(a15)))) & ((~hskp29) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & c2_1(a25)))) & ((~hskp30) | (((ndr1_0 & c0_1(a33)) & c2_1(a33)) & c3_1(a33)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c0_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c2_1(Y)) | c3_1(Y)))) | hskp0)) & ((![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c2_1(Z))) | ![X1: $i] : (ndr1_0 => ((c1_1(X1) | c2_1(X1)) | (~c0_1(X1))))) | ![X2: $i] : (ndr1_0 => ((c2_1(X2) | c3_1(X2)) | (~c0_1(X2)))))) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | (~c0_1(X4))) | (~c2_1(X4))))) | hskp1)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c2_1(X6) | c3_1(X6)) | (~c0_1(X6))))) | hskp2)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c1_1(X7)) | c3_1(X7))) | ![X8: $i] : (ndr1_0 => ((c2_1(X8) | (~c0_1(X8))) | (~c3_1(X8))))) | hskp3)) & (![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | hskp4)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c2_1(X10)))) | hskp5) | hskp0)) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | hskp6) | hskp7)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | hskp27) | hskp8)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | hskp9) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | (~c3_1(X15))))) | hskp6)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c1_1(X17))) | (~c2_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c0_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c1_1(X19)))) | hskp28) | hskp27)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | (~c3_1(X20)))) | ![X21: $i] : (ndr1_0 => ((c1_1(X21) | c3_1(X21)) | (~c0_1(X21))))) | hskp9)) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | (~c3_1(X22)))) | ![X23: $i] : (ndr1_0 => (((~c0_1(X23)) | (~c2_1(X23))) | (~c3_1(X23))))) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c3_1(X24)))) | hskp11) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c3_1(X25)))) | hskp12) | hskp13)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c1_1(X27) | c3_1(X27)) | (~c2_1(X27))))) | hskp0)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | c3_1(X29)) | (~c0_1(X29))))) | hskp3)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c2_1(X30)))) | hskp29) | hskp14)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c1_1(X32) | c3_1(X32)) | (~c2_1(X32))))) | ![X33: $i] : (ndr1_0 => ((c2_1(X33) | (~c0_1(X33))) | (~c3_1(X33)))))) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | hskp15) | hskp4)) & ((![X35: $i] : (ndr1_0 => ((c0_1(X35) | (~c2_1(X35))) | (~c3_1(X35)))) | ![X36: $i] : (ndr1_0 => ((c1_1(X36) | (~c0_1(X36))) | (~c2_1(X36))))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37)))))) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c2_1(X39))))) | hskp5)) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c2_1(X40))) | (~c3_1(X40)))) | hskp9) | hskp16)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | c3_1(X41))) | ![X42: $i] : (ndr1_0 => ((c1_1(X42) | c3_1(X42)) | (~c0_1(X42))))) | hskp17)) & ((![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | c3_1(X43))) | hskp30) | hskp18)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | c3_1(X44))) | hskp1) | hskp19)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp29) | hskp20)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c0_1(X46)))) | hskp1) | hskp13)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | (~c0_1(X47)))) | hskp0) | hskp21)) & ((![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c1_1(X49) | (~c2_1(X49))) | (~c3_1(X49))))) | hskp22)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | c2_1(X50)) | (~c3_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c3_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | hskp0)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c2_1(X52)) | (~c3_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c3_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | hskp5)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | c2_1(X54)) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => (((~c1_1(X55)) | (~c2_1(X55))) | (~c3_1(X55))))) | hskp29)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | c3_1(X56)) | (~c0_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c2_1(X57))) | (~c3_1(X57))))) | hskp29)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c2_1(X58)))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59))))) | hskp13)) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c2_1(X60)))) | ![X61: $i] : (ndr1_0 => ((c2_1(X61) | (~c0_1(X61))) | (~c1_1(X61))))) | ![X62: $i] : (ndr1_0 => (((~c0_1(X62)) | (~c1_1(X62))) | (~c3_1(X62)))))) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | (~c0_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => ((c3_1(X64) | (~c0_1(X64))) | (~c1_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | ![X66: $i] : (ndr1_0 => (((~c1_1(X66)) | (~c2_1(X66))) | (~c3_1(X66))))) | hskp19)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | hskp2) | hskp23)) & ((![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c2_1(X68))) | (~c3_1(X68)))) | hskp1) | hskp0)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | c3_1(X69)) | (~c0_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70))))) | hskp22)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp2) | hskp4)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | ![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c0_1(X73))) | (~c2_1(X73))))) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp22) | hskp19)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c1_1(X75))) | (~c3_1(X75)))) | hskp18) | hskp14)) & ((![X76: $i] : (ndr1_0 => ((c3_1(X76) | (~c1_1(X76))) | (~c2_1(X76)))) | hskp27) | hskp25)) & ((![X77: $i] : (ndr1_0 => (((~c0_1(X77)) | (~c1_1(X77))) | (~c2_1(X77)))) | ![X78: $i] : (ndr1_0 => (((~c0_1(X78)) | (~c1_1(X78))) | (~c3_1(X78))))) | ![X79: $i] : (ndr1_0 => (((~c1_1(X79)) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((hskp28 | hskp1) | hskp9)) & ((hskp28 | hskp7) | hskp9)) & ((hskp15 | hskp2) | hskp25)) & ((hskp11 | hskp20) | hskp7)) & (hskp11 | hskp22)) & ((hskp30 | hskp2) | hskp18)) & ((hskp30 | hskp27) | hskp7)) & ((hskp30 | hskp27) | hskp17)) & ((hskp2 | hskp24) | hskp23)) & ((hskp7 | hskp26) | hskp18)))) <=> (~(~(((~hskp0) | (ndr1_0 & c1_1(a1) & c2_1(a1) & (~c0_1(a1)))) & ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) & ((~hskp2) | (ndr1_0 & c0_1(a3) & c2_1(a3) & (~c1_1(a3)))) & ((~hskp3) | (ndr1_0 & c3_1(a4) & (~c0_1(a4)) & (~c1_1(a4)))) & ((~hskp4) | (ndr1_0 & c2_1(a5) & c3_1(a5) & (~c1_1(a5)))) & ((~hskp5) | (ndr1_0 & c0_1(a6) & c2_1(a6) & (~c3_1(a6)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & (~c2_1(a8)) & (~c3_1(a8)))) & ((~hskp7) | (ndr1_0 & c1_1(a9) & (~c0_1(a9)) & (~c2_1(a9)))) & ((~hskp8) | (ndr1_0 & c1_1(a11) & c2_1(a11) & (~c3_1(a11)))) & ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) & ((~hskp10) | (ndr1_0 & (~c0_1(a18)) & (~c1_1(a18)) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & c0_1(a21) & (~c1_1(a21)) & (~c3_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & (~c0_1(a26)) & (~c1_1(a26)) & (~c2_1(a26)))) & ((~hskp15) | (ndr1_0 & c0_1(a27) & c1_1(a27) & (~c2_1(a27)))) & ((~hskp16) | (ndr1_0 & c2_1(a31) & (~c0_1(a31)) & (~c1_1(a31)))) & ((~hskp17) | (ndr1_0 & c3_1(a32) & (~c0_1(a32)) & (~c2_1(a32)))) & ((~hskp18) | (ndr1_0 & c3_1(a34) & (~c1_1(a34)) & (~c2_1(a34)))) & ((~hskp19) | (ndr1_0 & (~c1_1(a36)) & (~c2_1(a36)) & (~c3_1(a36)))) & ((~hskp20) | (ndr1_0 & c1_1(a38) & c3_1(a38) & (~c0_1(a38)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c0_1(a42)))) & ((~hskp22) | (ndr1_0 & c2_1(a43) & (~c1_1(a43)) & (~c3_1(a43)))) & ((~hskp23) | (ndr1_0 & c0_1(a52) & (~c1_1(a52)) & (~c2_1(a52)))) & ((~hskp24) | (ndr1_0 & c0_1(a58) & c3_1(a58) & (~c1_1(a58)))) & ((~hskp25) | (ndr1_0 & c1_1(a64) & c3_1(a64) & (~c2_1(a64)))) & ((~hskp26) | (ndr1_0 & c2_1(a92) & (~c0_1(a92)) & (~c3_1(a92)))) & ((~hskp27) | (ndr1_0 & c1_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) & ((~hskp29) | (ndr1_0 & c0_1(a25) & c1_1(a25) & c2_1(a25))) & ((~hskp30) | (ndr1_0 & c0_1(a33) & c2_1(a33) & c3_1(a33))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | (~c0_1(W)) | c3_1(W) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c2_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0))) & (![Z: $i] : (c2_1(Z) | c1_1(Z) | c0_1(Z) | (~ndr1_0)) | ![X1: $i] : (c2_1(X1) | c1_1(X1) | (~c0_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c2_1(X2) | (~c0_1(X2)) | c3_1(X2) | (~ndr1_0))) & (hskp1 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | (~c2_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (hskp2 | ![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | (~c0_1(X6)) | c3_1(X6) | (~ndr1_0))) & (hskp3 | ![X7: $i] : (c1_1(X7) | c0_1(X7) | c3_1(X7) | (~ndr1_0)) | ![X8: $i] : (c2_1(X8) | (~c0_1(X8)) | (~c3_1(X8)) | (~ndr1_0))) & (hskp4 | ![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) & (hskp0 | hskp5 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c2_1(X10)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0))) & (hskp8 | hskp27 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0))) & (hskp3 | hskp9 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0))) & (hskp6 | ![X14: $i] : (c2_1(X14) | c0_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c0_1(X15) | (~c3_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c2_1(X16) | c0_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | (~c0_1(X18)) | c3_1(X18) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c1_1(X17)) | (~ndr1_0))) & (hskp27 | hskp28 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c1_1(X19)) | (~ndr1_0))) & (hskp9 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | (~c3_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c1_1(X21) | (~c0_1(X21)) | c3_1(X21) | (~ndr1_0))) & (hskp10 | ![X22: $i] : (c2_1(X22) | c0_1(X22) | (~c3_1(X22)) | (~ndr1_0)) | ![X23: $i] : ((~c2_1(X23)) | (~c0_1(X23)) | (~c3_1(X23)) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c3_1(X25)) | (~ndr1_0))) & (hskp0 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c1_1(X27) | (~c2_1(X27)) | c3_1(X27) | (~ndr1_0))) & (hskp3 | ![X28: $i] : (c0_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c0_1(X29)) | c3_1(X29) | (~ndr1_0))) & (hskp14 | hskp29 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | c3_1(X30) | (~ndr1_0))) & (![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c1_1(X32) | (~c2_1(X32)) | c3_1(X32) | (~ndr1_0)) | ![X33: $i] : (c2_1(X33) | (~c0_1(X33)) | (~c3_1(X33)) | (~ndr1_0))) & (hskp4 | hskp15 | ![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0))) & (![X35: $i] : (c0_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c1_1(X36) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0)) | ![X37: $i] : ((~c2_1(X37)) | (~c0_1(X37)) | c3_1(X37) | (~ndr1_0))) & (hskp5 | ![X38: $i] : (c0_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c2_1(X39)) | (~c0_1(X39)) | (~ndr1_0))) & (hskp9 | hskp16 | ![X40: $i] : (c0_1(X40) | (~c2_1(X40)) | (~c3_1(X40)) | (~ndr1_0))) & (hskp17 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | c3_1(X41) | (~ndr1_0)) | ![X42: $i] : (c1_1(X42) | (~c0_1(X42)) | c3_1(X42) | (~ndr1_0))) & (hskp18 | hskp30 | ![X43: $i] : (c2_1(X43) | c1_1(X43) | c3_1(X43) | (~ndr1_0))) & (hskp1 | hskp19 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | c3_1(X44) | (~ndr1_0))) & (hskp20 | hskp29 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp1 | hskp13 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c0_1(X46)) | (~ndr1_0))) & (hskp0 | hskp21 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | (~c0_1(X47)) | (~ndr1_0))) & (hskp22 | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c1_1(X49) | (~c2_1(X49)) | (~c3_1(X49)) | (~ndr1_0))) & (hskp0 | ![X50: $i] : (c2_1(X50) | c1_1(X50) | (~c3_1(X50)) | (~ndr1_0)) | ![X51: $i] : ((~c0_1(X51)) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp5 | ![X52: $i] : (c2_1(X52) | c1_1(X52) | (~c3_1(X52)) | (~ndr1_0)) | ![X53: $i] : ((~c2_1(X53)) | (~c0_1(X53)) | c3_1(X53) | (~ndr1_0))) & (hskp29 | ![X54: $i] : (c2_1(X54) | c1_1(X54) | (~c3_1(X54)) | (~ndr1_0)) | ![X55: $i] : ((~c2_1(X55)) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp29 | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | c3_1(X56) | (~ndr1_0)) | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp13 | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c0_1(X58)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c0_1(X59)) | c3_1(X59) | (~ndr1_0))) & (![X60: $i] : (c1_1(X60) | (~c2_1(X60)) | (~c0_1(X60)) | (~ndr1_0)) | ![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | (~c3_1(X62)) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c1_1(X63) | (~c0_1(X63)) | (~c3_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | c3_1(X64) | (~c1_1(X64)) | (~ndr1_0))) & (hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0)) | ![X66: $i] : ((~c2_1(X66)) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp2 | hskp23 | ![X67: $i] : (c1_1(X67) | (~c2_1(X67)) | (~c3_1(X67)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X68: $i] : (c1_1(X68) | (~c2_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) & (hskp2 | hskp4 | ![X71: $i] : (c2_1(X71) | (~c0_1(X71)) | c3_1(X71) | (~ndr1_0))) & (hskp24 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0)) | ![X73: $i] : ((~c2_1(X73)) | (~c0_1(X73)) | c3_1(X73) | (~ndr1_0))) & (hskp19 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X75: $i] : (c2_1(X75) | (~c3_1(X75)) | (~c1_1(X75)) | (~ndr1_0))) & (hskp25 | hskp27 | ![X76: $i] : ((~c2_1(X76)) | c3_1(X76) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : ((~c2_1(X79)) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c0_1(X77)) | (~c1_1(X77)) | (~ndr1_0)) | ![X78: $i] : ((~c0_1(X78)) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp1 | hskp9 | hskp28) & (hskp7 | hskp9 | hskp28) & (hskp2 | hskp15 | hskp25) & (hskp7 | hskp11 | hskp20) & (hskp11 | hskp22) & (hskp2 | hskp18 | hskp30) & (hskp7 | hskp27 | hskp30) & (hskp17 | hskp27 | hskp30) & (hskp2 | hskp23 | hskp24) & (hskp7 | hskp18 | hskp26))))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[5])).
% 0.20/0.44 tff(7,plain,
% 0.20/0.44 ((~(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c1_1(a1)) & c2_1(a1)) & (~c0_1(a1)))) & ((~hskp1) | (((ndr1_0 & c0_1(a2)) & c3_1(a2)) & (~c2_1(a2))))) & ((~hskp2) | (((ndr1_0 & c0_1(a3)) & c2_1(a3)) & (~c1_1(a3))))) & ((~hskp3) | (((ndr1_0 & c3_1(a4)) & (~c0_1(a4))) & (~c1_1(a4))))) & ((~hskp4) | (((ndr1_0 & c2_1(a5)) & c3_1(a5)) & (~c1_1(a5))))) & ((~hskp5) | (((ndr1_0 & c0_1(a6)) & c2_1(a6)) & (~c3_1(a6))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & (~c2_1(a8))) & (~c3_1(a8))))) & ((~hskp7) | (((ndr1_0 & c1_1(a9)) & (~c0_1(a9))) & (~c2_1(a9))))) & ((~hskp8) | (((ndr1_0 & c1_1(a11)) & c2_1(a11)) & (~c3_1(a11))))) & ((~hskp9) | (((ndr1_0 & c1_1(a12)) & (~c2_1(a12))) & (~c3_1(a12))))) & ((~hskp10) | (((ndr1_0 & (~c0_1(a18))) & (~c1_1(a18))) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c0_1(a19)) & c1_1(a19)) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & c0_1(a21)) & (~c1_1(a21))) & (~c3_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & (~c0_1(a26))) & (~c1_1(a26))) & (~c2_1(a26))))) & ((~hskp15) | (((ndr1_0 & c0_1(a27)) & c1_1(a27)) & (~c2_1(a27))))) & ((~hskp16) | (((ndr1_0 & c2_1(a31)) & (~c0_1(a31))) & (~c1_1(a31))))) & ((~hskp17) | (((ndr1_0 & c3_1(a32)) & (~c0_1(a32))) & (~c2_1(a32))))) & ((~hskp18) | (((ndr1_0 & c3_1(a34)) & (~c1_1(a34))) & (~c2_1(a34))))) & ((~hskp19) | (((ndr1_0 & (~c1_1(a36))) & (~c2_1(a36))) & (~c3_1(a36))))) & ((~hskp20) | (((ndr1_0 & c1_1(a38)) & c3_1(a38)) & (~c0_1(a38))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c0_1(a42))))) & ((~hskp22) | (((ndr1_0 & c2_1(a43)) & (~c1_1(a43))) & (~c3_1(a43))))) & ((~hskp23) | (((ndr1_0 & c0_1(a52)) & (~c1_1(a52))) & (~c2_1(a52))))) & ((~hskp24) | (((ndr1_0 & c0_1(a58)) & c3_1(a58)) & (~c1_1(a58))))) & ((~hskp25) | (((ndr1_0 & c1_1(a64)) & c3_1(a64)) & (~c2_1(a64))))) & ((~hskp26) | (((ndr1_0 & c2_1(a92)) & (~c0_1(a92))) & (~c3_1(a92))))) & ((~hskp27) | (((ndr1_0 & c1_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp28) | (((ndr1_0 & c0_1(a15)) & c1_1(a15)) & c3_1(a15)))) & ((~hskp29) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & c2_1(a25)))) & ((~hskp30) | (((ndr1_0 & c0_1(a33)) & c2_1(a33)) & c3_1(a33)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c0_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c2_1(Y)) | c3_1(Y)))) | hskp0)) & ((![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c2_1(Z))) | ![X1: $i] : (ndr1_0 => ((c1_1(X1) | c2_1(X1)) | (~c0_1(X1))))) | ![X2: $i] : (ndr1_0 => ((c2_1(X2) | c3_1(X2)) | (~c0_1(X2)))))) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | (~c0_1(X4))) | (~c2_1(X4))))) | hskp1)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c2_1(X6) | c3_1(X6)) | (~c0_1(X6))))) | hskp2)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c1_1(X7)) | c3_1(X7))) | ![X8: $i] : (ndr1_0 => ((c2_1(X8) | (~c0_1(X8))) | (~c3_1(X8))))) | hskp3)) & (![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | hskp4)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c2_1(X10)))) | hskp5) | hskp0)) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | hskp6) | hskp7)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | hskp27) | hskp8)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | hskp9) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | (~c3_1(X15))))) | hskp6)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c1_1(X17))) | (~c2_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c0_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c1_1(X19)))) | hskp28) | hskp27)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | (~c3_1(X20)))) | ![X21: $i] : (ndr1_0 => ((c1_1(X21) | c3_1(X21)) | (~c0_1(X21))))) | hskp9)) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | (~c3_1(X22)))) | ![X23: $i] : (ndr1_0 => (((~c0_1(X23)) | (~c2_1(X23))) | (~c3_1(X23))))) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c3_1(X24)))) | hskp11) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c3_1(X25)))) | hskp12) | hskp13)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c1_1(X27) | c3_1(X27)) | (~c2_1(X27))))) | hskp0)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | c3_1(X29)) | (~c0_1(X29))))) | hskp3)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c2_1(X30)))) | hskp29) | hskp14)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c1_1(X32) | c3_1(X32)) | (~c2_1(X32))))) | ![X33: $i] : (ndr1_0 => ((c2_1(X33) | (~c0_1(X33))) | (~c3_1(X33)))))) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | hskp15) | hskp4)) & ((![X35: $i] : (ndr1_0 => ((c0_1(X35) | (~c2_1(X35))) | (~c3_1(X35)))) | ![X36: $i] : (ndr1_0 => ((c1_1(X36) | (~c0_1(X36))) | (~c2_1(X36))))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37)))))) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c2_1(X39))))) | hskp5)) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c2_1(X40))) | (~c3_1(X40)))) | hskp9) | hskp16)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | c3_1(X41))) | ![X42: $i] : (ndr1_0 => ((c1_1(X42) | c3_1(X42)) | (~c0_1(X42))))) | hskp17)) & ((![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | c3_1(X43))) | hskp30) | hskp18)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | c3_1(X44))) | hskp1) | hskp19)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp29) | hskp20)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c0_1(X46)))) | hskp1) | hskp13)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | (~c0_1(X47)))) | hskp0) | hskp21)) & ((![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c1_1(X49) | (~c2_1(X49))) | (~c3_1(X49))))) | hskp22)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | c2_1(X50)) | (~c3_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c3_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | hskp0)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c2_1(X52)) | (~c3_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c3_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | hskp5)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | c2_1(X54)) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => (((~c1_1(X55)) | (~c2_1(X55))) | (~c3_1(X55))))) | hskp29)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | c3_1(X56)) | (~c0_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c2_1(X57))) | (~c3_1(X57))))) | hskp29)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c2_1(X58)))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59))))) | hskp13)) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c2_1(X60)))) | ![X61: $i] : (ndr1_0 => ((c2_1(X61) | (~c0_1(X61))) | (~c1_1(X61))))) | ![X62: $i] : (ndr1_0 => (((~c0_1(X62)) | (~c1_1(X62))) | (~c3_1(X62)))))) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | (~c0_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => ((c3_1(X64) | (~c0_1(X64))) | (~c1_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | ![X66: $i] : (ndr1_0 => (((~c1_1(X66)) | (~c2_1(X66))) | (~c3_1(X66))))) | hskp19)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | hskp2) | hskp23)) & ((![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c2_1(X68))) | (~c3_1(X68)))) | hskp1) | hskp0)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | c3_1(X69)) | (~c0_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70))))) | hskp22)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp2) | hskp4)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | ![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c0_1(X73))) | (~c2_1(X73))))) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp22) | hskp19)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c1_1(X75))) | (~c3_1(X75)))) | hskp18) | hskp14)) & ((![X76: $i] : (ndr1_0 => ((c3_1(X76) | (~c1_1(X76))) | (~c2_1(X76)))) | hskp27) | hskp25)) & ((![X77: $i] : (ndr1_0 => (((~c0_1(X77)) | (~c1_1(X77))) | (~c2_1(X77)))) | ![X78: $i] : (ndr1_0 => (((~c0_1(X78)) | (~c1_1(X78))) | (~c3_1(X78))))) | ![X79: $i] : (ndr1_0 => (((~c1_1(X79)) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((hskp28 | hskp1) | hskp9)) & ((hskp28 | hskp7) | hskp9)) & ((hskp15 | hskp2) | hskp25)) & ((hskp11 | hskp20) | hskp7)) & (hskp11 | hskp22)) & ((hskp30 | hskp2) | hskp18)) & ((hskp30 | hskp27) | hskp7)) & ((hskp30 | hskp27) | hskp17)) & ((hskp2 | hskp24) | hskp23)) & ((hskp7 | hskp26) | hskp18)))) <=> (((~hskp0) | (ndr1_0 & c1_1(a1) & c2_1(a1) & (~c0_1(a1)))) & ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) & ((~hskp2) | (ndr1_0 & c0_1(a3) & c2_1(a3) & (~c1_1(a3)))) & ((~hskp3) | (ndr1_0 & c3_1(a4) & (~c0_1(a4)) & (~c1_1(a4)))) & ((~hskp4) | (ndr1_0 & c2_1(a5) & c3_1(a5) & (~c1_1(a5)))) & ((~hskp5) | (ndr1_0 & c0_1(a6) & c2_1(a6) & (~c3_1(a6)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & (~c2_1(a8)) & (~c3_1(a8)))) & ((~hskp7) | (ndr1_0 & c1_1(a9) & (~c0_1(a9)) & (~c2_1(a9)))) & ((~hskp8) | (ndr1_0 & c1_1(a11) & c2_1(a11) & (~c3_1(a11)))) & ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) & ((~hskp10) | (ndr1_0 & (~c0_1(a18)) & (~c1_1(a18)) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & c0_1(a21) & (~c1_1(a21)) & (~c3_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & (~c0_1(a26)) & (~c1_1(a26)) & (~c2_1(a26)))) & ((~hskp15) | (ndr1_0 & c0_1(a27) & c1_1(a27) & (~c2_1(a27)))) & ((~hskp16) | (ndr1_0 & c2_1(a31) & (~c0_1(a31)) & (~c1_1(a31)))) & ((~hskp17) | (ndr1_0 & c3_1(a32) & (~c0_1(a32)) & (~c2_1(a32)))) & ((~hskp18) | (ndr1_0 & c3_1(a34) & (~c1_1(a34)) & (~c2_1(a34)))) & ((~hskp19) | (ndr1_0 & (~c1_1(a36)) & (~c2_1(a36)) & (~c3_1(a36)))) & ((~hskp20) | (ndr1_0 & c1_1(a38) & c3_1(a38) & (~c0_1(a38)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c0_1(a42)))) & ((~hskp22) | (ndr1_0 & c2_1(a43) & (~c1_1(a43)) & (~c3_1(a43)))) & ((~hskp23) | (ndr1_0 & c0_1(a52) & (~c1_1(a52)) & (~c2_1(a52)))) & ((~hskp24) | (ndr1_0 & c0_1(a58) & c3_1(a58) & (~c1_1(a58)))) & ((~hskp25) | (ndr1_0 & c1_1(a64) & c3_1(a64) & (~c2_1(a64)))) & ((~hskp26) | (ndr1_0 & c2_1(a92) & (~c0_1(a92)) & (~c3_1(a92)))) & ((~hskp27) | (ndr1_0 & c1_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) & ((~hskp29) | (ndr1_0 & c0_1(a25) & c1_1(a25) & c2_1(a25))) & ((~hskp30) | (ndr1_0 & c0_1(a33) & c2_1(a33) & c3_1(a33))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | (~c0_1(W)) | c3_1(W) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c2_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0))) & (![Z: $i] : (c2_1(Z) | c1_1(Z) | c0_1(Z) | (~ndr1_0)) | ![X1: $i] : (c2_1(X1) | c1_1(X1) | (~c0_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c2_1(X2) | (~c0_1(X2)) | c3_1(X2) | (~ndr1_0))) & (hskp1 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | (~c2_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (hskp2 | ![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | (~c0_1(X6)) | c3_1(X6) | (~ndr1_0))) & (hskp3 | ![X7: $i] : (c1_1(X7) | c0_1(X7) | c3_1(X7) | (~ndr1_0)) | ![X8: $i] : (c2_1(X8) | (~c0_1(X8)) | (~c3_1(X8)) | (~ndr1_0))) & (hskp4 | ![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) & (hskp0 | hskp5 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c2_1(X10)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0))) & (hskp8 | hskp27 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0))) & (hskp3 | hskp9 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0))) & (hskp6 | ![X14: $i] : (c2_1(X14) | c0_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c0_1(X15) | (~c3_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c2_1(X16) | c0_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | (~c0_1(X18)) | c3_1(X18) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c1_1(X17)) | (~ndr1_0))) & (hskp27 | hskp28 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c1_1(X19)) | (~ndr1_0))) & (hskp9 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | (~c3_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c1_1(X21) | (~c0_1(X21)) | c3_1(X21) | (~ndr1_0))) & (hskp10 | ![X22: $i] : (c2_1(X22) | c0_1(X22) | (~c3_1(X22)) | (~ndr1_0)) | ![X23: $i] : ((~c2_1(X23)) | (~c0_1(X23)) | (~c3_1(X23)) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c3_1(X25)) | (~ndr1_0))) & (hskp0 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c1_1(X27) | (~c2_1(X27)) | c3_1(X27) | (~ndr1_0))) & (hskp3 | ![X28: $i] : (c0_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c0_1(X29)) | c3_1(X29) | (~ndr1_0))) & (hskp14 | hskp29 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | c3_1(X30) | (~ndr1_0))) & (![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c1_1(X32) | (~c2_1(X32)) | c3_1(X32) | (~ndr1_0)) | ![X33: $i] : (c2_1(X33) | (~c0_1(X33)) | (~c3_1(X33)) | (~ndr1_0))) & (hskp4 | hskp15 | ![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0))) & (![X35: $i] : (c0_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c1_1(X36) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0)) | ![X37: $i] : ((~c2_1(X37)) | (~c0_1(X37)) | c3_1(X37) | (~ndr1_0))) & (hskp5 | ![X38: $i] : (c0_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c2_1(X39)) | (~c0_1(X39)) | (~ndr1_0))) & (hskp9 | hskp16 | ![X40: $i] : (c0_1(X40) | (~c2_1(X40)) | (~c3_1(X40)) | (~ndr1_0))) & (hskp17 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | c3_1(X41) | (~ndr1_0)) | ![X42: $i] : (c1_1(X42) | (~c0_1(X42)) | c3_1(X42) | (~ndr1_0))) & (hskp18 | hskp30 | ![X43: $i] : (c2_1(X43) | c1_1(X43) | c3_1(X43) | (~ndr1_0))) & (hskp1 | hskp19 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | c3_1(X44) | (~ndr1_0))) & (hskp20 | hskp29 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp1 | hskp13 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c0_1(X46)) | (~ndr1_0))) & (hskp0 | hskp21 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | (~c0_1(X47)) | (~ndr1_0))) & (hskp22 | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c1_1(X49) | (~c2_1(X49)) | (~c3_1(X49)) | (~ndr1_0))) & (hskp0 | ![X50: $i] : (c2_1(X50) | c1_1(X50) | (~c3_1(X50)) | (~ndr1_0)) | ![X51: $i] : ((~c0_1(X51)) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp5 | ![X52: $i] : (c2_1(X52) | c1_1(X52) | (~c3_1(X52)) | (~ndr1_0)) | ![X53: $i] : ((~c2_1(X53)) | (~c0_1(X53)) | c3_1(X53) | (~ndr1_0))) & (hskp29 | ![X54: $i] : (c2_1(X54) | c1_1(X54) | (~c3_1(X54)) | (~ndr1_0)) | ![X55: $i] : ((~c2_1(X55)) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp29 | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | c3_1(X56) | (~ndr1_0)) | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp13 | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c0_1(X58)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c0_1(X59)) | c3_1(X59) | (~ndr1_0))) & (![X60: $i] : (c1_1(X60) | (~c2_1(X60)) | (~c0_1(X60)) | (~ndr1_0)) | ![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | (~c3_1(X62)) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c1_1(X63) | (~c0_1(X63)) | (~c3_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | c3_1(X64) | (~c1_1(X64)) | (~ndr1_0))) & (hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0)) | ![X66: $i] : ((~c2_1(X66)) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp2 | hskp23 | ![X67: $i] : (c1_1(X67) | (~c2_1(X67)) | (~c3_1(X67)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X68: $i] : (c1_1(X68) | (~c2_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) & (hskp2 | hskp4 | ![X71: $i] : (c2_1(X71) | (~c0_1(X71)) | c3_1(X71) | (~ndr1_0))) & (hskp24 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0)) | ![X73: $i] : ((~c2_1(X73)) | (~c0_1(X73)) | c3_1(X73) | (~ndr1_0))) & (hskp19 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X75: $i] : (c2_1(X75) | (~c3_1(X75)) | (~c1_1(X75)) | (~ndr1_0))) & (hskp25 | hskp27 | ![X76: $i] : ((~c2_1(X76)) | c3_1(X76) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : ((~c2_1(X79)) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c0_1(X77)) | (~c1_1(X77)) | (~ndr1_0)) | ![X78: $i] : ((~c0_1(X78)) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp1 | hskp9 | hskp28) & (hskp7 | hskp9 | hskp28) & (hskp2 | hskp15 | hskp25) & (hskp7 | hskp11 | hskp20) & (hskp11 | hskp22) & (hskp2 | hskp18 | hskp30) & (hskp7 | hskp27 | hskp30) & (hskp17 | hskp27 | hskp30) & (hskp2 | hskp23 | hskp24) & (hskp7 | hskp18 | hskp26))),
% 0.20/0.44 inference(transitivity,[status(thm)],[6, 4])).
% 0.20/0.44 tff(8,axiom,(~(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c1_1(a1)) & c2_1(a1)) & (~c0_1(a1)))) & ((~hskp1) | (((ndr1_0 & c0_1(a2)) & c3_1(a2)) & (~c2_1(a2))))) & ((~hskp2) | (((ndr1_0 & c0_1(a3)) & c2_1(a3)) & (~c1_1(a3))))) & ((~hskp3) | (((ndr1_0 & c3_1(a4)) & (~c0_1(a4))) & (~c1_1(a4))))) & ((~hskp4) | (((ndr1_0 & c2_1(a5)) & c3_1(a5)) & (~c1_1(a5))))) & ((~hskp5) | (((ndr1_0 & c0_1(a6)) & c2_1(a6)) & (~c3_1(a6))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & (~c2_1(a8))) & (~c3_1(a8))))) & ((~hskp7) | (((ndr1_0 & c1_1(a9)) & (~c0_1(a9))) & (~c2_1(a9))))) & ((~hskp8) | (((ndr1_0 & c1_1(a11)) & c2_1(a11)) & (~c3_1(a11))))) & ((~hskp9) | (((ndr1_0 & c1_1(a12)) & (~c2_1(a12))) & (~c3_1(a12))))) & ((~hskp10) | (((ndr1_0 & (~c0_1(a18))) & (~c1_1(a18))) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c0_1(a19)) & c1_1(a19)) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & c0_1(a21)) & (~c1_1(a21))) & (~c3_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & (~c0_1(a26))) & (~c1_1(a26))) & (~c2_1(a26))))) & ((~hskp15) | (((ndr1_0 & c0_1(a27)) & c1_1(a27)) & (~c2_1(a27))))) & ((~hskp16) | (((ndr1_0 & c2_1(a31)) & (~c0_1(a31))) & (~c1_1(a31))))) & ((~hskp17) | (((ndr1_0 & c3_1(a32)) & (~c0_1(a32))) & (~c2_1(a32))))) & ((~hskp18) | (((ndr1_0 & c3_1(a34)) & (~c1_1(a34))) & (~c2_1(a34))))) & ((~hskp19) | (((ndr1_0 & (~c1_1(a36))) & (~c2_1(a36))) & (~c3_1(a36))))) & ((~hskp20) | (((ndr1_0 & c1_1(a38)) & c3_1(a38)) & (~c0_1(a38))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c0_1(a42))))) & ((~hskp22) | (((ndr1_0 & c2_1(a43)) & (~c1_1(a43))) & (~c3_1(a43))))) & ((~hskp23) | (((ndr1_0 & c0_1(a52)) & (~c1_1(a52))) & (~c2_1(a52))))) & ((~hskp24) | (((ndr1_0 & c0_1(a58)) & c3_1(a58)) & (~c1_1(a58))))) & ((~hskp25) | (((ndr1_0 & c1_1(a64)) & c3_1(a64)) & (~c2_1(a64))))) & ((~hskp26) | (((ndr1_0 & c2_1(a92)) & (~c0_1(a92))) & (~c3_1(a92))))) & ((~hskp27) | (((ndr1_0 & c1_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp28) | (((ndr1_0 & c0_1(a15)) & c1_1(a15)) & c3_1(a15)))) & ((~hskp29) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & c2_1(a25)))) & ((~hskp30) | (((ndr1_0 & c0_1(a33)) & c2_1(a33)) & c3_1(a33)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | (~c2_1(V))))) | ![W: $i] : (ndr1_0 => ((c1_1(W) | c3_1(W)) | (~c0_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c2_1(Y)) | c3_1(Y)))) | hskp0)) & ((![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c2_1(Z))) | ![X1: $i] : (ndr1_0 => ((c1_1(X1) | c2_1(X1)) | (~c0_1(X1))))) | ![X2: $i] : (ndr1_0 => ((c2_1(X2) | c3_1(X2)) | (~c0_1(X2)))))) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | (~c0_1(X4))) | (~c2_1(X4))))) | hskp1)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c2_1(X6) | c3_1(X6)) | (~c0_1(X6))))) | hskp2)) & ((![X7: $i] : (ndr1_0 => ((c0_1(X7) | c1_1(X7)) | c3_1(X7))) | ![X8: $i] : (ndr1_0 => ((c2_1(X8) | (~c0_1(X8))) | (~c3_1(X8))))) | hskp3)) & (![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | hskp4)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c2_1(X10)))) | hskp5) | hskp0)) & ((![X11: $i] : (ndr1_0 => ((c0_1(X11) | c1_1(X11)) | (~c3_1(X11)))) | hskp6) | hskp7)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | hskp27) | hskp8)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | hskp9) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | (~c1_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | (~c3_1(X15))))) | hskp6)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c2_1(X16)) | (~c1_1(X16)))) | ![X17: $i] : (ndr1_0 => ((c0_1(X17) | (~c1_1(X17))) | (~c2_1(X17))))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c0_1(X18)))))) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c1_1(X19)))) | hskp28) | hskp27)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | (~c3_1(X20)))) | ![X21: $i] : (ndr1_0 => ((c1_1(X21) | c3_1(X21)) | (~c0_1(X21))))) | hskp9)) & ((![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | (~c3_1(X22)))) | ![X23: $i] : (ndr1_0 => (((~c0_1(X23)) | (~c2_1(X23))) | (~c3_1(X23))))) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c3_1(X24)))) | hskp11) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c2_1(X25)) | (~c3_1(X25)))) | hskp12) | hskp13)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c1_1(X27) | c3_1(X27)) | (~c2_1(X27))))) | hskp0)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | c3_1(X29)) | (~c0_1(X29))))) | hskp3)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c2_1(X30)))) | hskp29) | hskp14)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | ![X32: $i] : (ndr1_0 => ((c1_1(X32) | c3_1(X32)) | (~c2_1(X32))))) | ![X33: $i] : (ndr1_0 => ((c2_1(X33) | (~c0_1(X33))) | (~c3_1(X33)))))) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | hskp15) | hskp4)) & ((![X35: $i] : (ndr1_0 => ((c0_1(X35) | (~c2_1(X35))) | (~c3_1(X35)))) | ![X36: $i] : (ndr1_0 => ((c1_1(X36) | (~c0_1(X36))) | (~c2_1(X36))))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37)))))) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | ![X39: $i] : (ndr1_0 => ((c1_1(X39) | (~c0_1(X39))) | (~c2_1(X39))))) | hskp5)) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c2_1(X40))) | (~c3_1(X40)))) | hskp9) | hskp16)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | c3_1(X41))) | ![X42: $i] : (ndr1_0 => ((c1_1(X42) | c3_1(X42)) | (~c0_1(X42))))) | hskp17)) & ((![X43: $i] : (ndr1_0 => ((c1_1(X43) | c2_1(X43)) | c3_1(X43))) | hskp30) | hskp18)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | c3_1(X44))) | hskp1) | hskp19)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp29) | hskp20)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c0_1(X46)))) | hskp1) | hskp13)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | (~c0_1(X47)))) | hskp0) | hskp21)) & ((![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c1_1(X49) | (~c2_1(X49))) | (~c3_1(X49))))) | hskp22)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | c2_1(X50)) | (~c3_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c3_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | hskp0)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c2_1(X52)) | (~c3_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c3_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | hskp5)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | c2_1(X54)) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => (((~c1_1(X55)) | (~c2_1(X55))) | (~c3_1(X55))))) | hskp29)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | c3_1(X56)) | (~c0_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c2_1(X57))) | (~c3_1(X57))))) | hskp29)) & ((![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c2_1(X58)))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59))))) | hskp13)) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c2_1(X60)))) | ![X61: $i] : (ndr1_0 => ((c2_1(X61) | (~c0_1(X61))) | (~c1_1(X61))))) | ![X62: $i] : (ndr1_0 => (((~c0_1(X62)) | (~c1_1(X62))) | (~c3_1(X62)))))) & ((![X63: $i] : (ndr1_0 => ((c1_1(X63) | (~c0_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => ((c3_1(X64) | (~c0_1(X64))) | (~c1_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | ![X66: $i] : (ndr1_0 => (((~c1_1(X66)) | (~c2_1(X66))) | (~c3_1(X66))))) | hskp19)) & ((![X67: $i] : (ndr1_0 => ((c1_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | hskp2) | hskp23)) & ((![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c2_1(X68))) | (~c3_1(X68)))) | hskp1) | hskp0)) & ((![X69: $i] : (ndr1_0 => ((c2_1(X69) | c3_1(X69)) | (~c0_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70))))) | hskp22)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp2) | hskp4)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | ![X73: $i] : (ndr1_0 => ((c3_1(X73) | (~c0_1(X73))) | (~c2_1(X73))))) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp22) | hskp19)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c1_1(X75))) | (~c3_1(X75)))) | hskp18) | hskp14)) & ((![X76: $i] : (ndr1_0 => ((c3_1(X76) | (~c1_1(X76))) | (~c2_1(X76)))) | hskp27) | hskp25)) & ((![X77: $i] : (ndr1_0 => (((~c0_1(X77)) | (~c1_1(X77))) | (~c2_1(X77)))) | ![X78: $i] : (ndr1_0 => (((~c0_1(X78)) | (~c1_1(X78))) | (~c3_1(X78))))) | ![X79: $i] : (ndr1_0 => (((~c1_1(X79)) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((hskp28 | hskp1) | hskp9)) & ((hskp28 | hskp7) | hskp9)) & ((hskp15 | hskp2) | hskp25)) & ((hskp11 | hskp20) | hskp7)) & (hskp11 | hskp22)) & ((hskp30 | hskp2) | hskp18)) & ((hskp30 | hskp27) | hskp7)) & ((hskp30 | hskp27) | hskp17)) & ((hskp2 | hskp24) | hskp23)) & ((hskp7 | hskp26) | hskp18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.20/0.45 tff(9,plain,
% 0.20/0.45 (((~hskp0) | (ndr1_0 & c1_1(a1) & c2_1(a1) & (~c0_1(a1)))) & ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) & ((~hskp2) | (ndr1_0 & c0_1(a3) & c2_1(a3) & (~c1_1(a3)))) & ((~hskp3) | (ndr1_0 & c3_1(a4) & (~c0_1(a4)) & (~c1_1(a4)))) & ((~hskp4) | (ndr1_0 & c2_1(a5) & c3_1(a5) & (~c1_1(a5)))) & ((~hskp5) | (ndr1_0 & c0_1(a6) & c2_1(a6) & (~c3_1(a6)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & (~c2_1(a8)) & (~c3_1(a8)))) & ((~hskp7) | (ndr1_0 & c1_1(a9) & (~c0_1(a9)) & (~c2_1(a9)))) & ((~hskp8) | (ndr1_0 & c1_1(a11) & c2_1(a11) & (~c3_1(a11)))) & ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) & ((~hskp10) | (ndr1_0 & (~c0_1(a18)) & (~c1_1(a18)) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & c0_1(a21) & (~c1_1(a21)) & (~c3_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & (~c0_1(a26)) & (~c1_1(a26)) & (~c2_1(a26)))) & ((~hskp15) | (ndr1_0 & c0_1(a27) & c1_1(a27) & (~c2_1(a27)))) & ((~hskp16) | (ndr1_0 & c2_1(a31) & (~c0_1(a31)) & (~c1_1(a31)))) & ((~hskp17) | (ndr1_0 & c3_1(a32) & (~c0_1(a32)) & (~c2_1(a32)))) & ((~hskp18) | (ndr1_0 & c3_1(a34) & (~c1_1(a34)) & (~c2_1(a34)))) & ((~hskp19) | (ndr1_0 & (~c1_1(a36)) & (~c2_1(a36)) & (~c3_1(a36)))) & ((~hskp20) | (ndr1_0 & c1_1(a38) & c3_1(a38) & (~c0_1(a38)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c0_1(a42)))) & ((~hskp22) | (ndr1_0 & c2_1(a43) & (~c1_1(a43)) & (~c3_1(a43)))) & ((~hskp23) | (ndr1_0 & c0_1(a52) & (~c1_1(a52)) & (~c2_1(a52)))) & ((~hskp24) | (ndr1_0 & c0_1(a58) & c3_1(a58) & (~c1_1(a58)))) & ((~hskp25) | (ndr1_0 & c1_1(a64) & c3_1(a64) & (~c2_1(a64)))) & ((~hskp26) | (ndr1_0 & c2_1(a92) & (~c0_1(a92)) & (~c3_1(a92)))) & ((~hskp27) | (ndr1_0 & c1_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) & ((~hskp29) | (ndr1_0 & c0_1(a25) & c1_1(a25) & c2_1(a25))) & ((~hskp30) | (ndr1_0 & c0_1(a33) & c2_1(a33) & c3_1(a33))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c1_1(V) | c0_1(V) | (~c2_1(V)) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | (~c0_1(W)) | c3_1(W) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c2_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0))) & (![Z: $i] : (c2_1(Z) | c1_1(Z) | c0_1(Z) | (~ndr1_0)) | ![X1: $i] : (c2_1(X1) | c1_1(X1) | (~c0_1(X1)) | (~ndr1_0)) | ![X2: $i] : (c2_1(X2) | (~c0_1(X2)) | c3_1(X2) | (~ndr1_0))) & (hskp1 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | (~c2_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (hskp2 | ![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | (~c0_1(X6)) | c3_1(X6) | (~ndr1_0))) & (hskp3 | ![X7: $i] : (c1_1(X7) | c0_1(X7) | c3_1(X7) | (~ndr1_0)) | ![X8: $i] : (c2_1(X8) | (~c0_1(X8)) | (~c3_1(X8)) | (~ndr1_0))) & (hskp4 | ![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) & (hskp0 | hskp5 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c2_1(X10)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X11: $i] : (c1_1(X11) | c0_1(X11) | (~c3_1(X11)) | (~ndr1_0))) & (hskp8 | hskp27 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0))) & (hskp3 | hskp9 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0))) & (hskp6 | ![X14: $i] : (c2_1(X14) | c0_1(X14) | (~c1_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c0_1(X15) | (~c3_1(X15)) | (~ndr1_0))) & (![X16: $i] : (c2_1(X16) | c0_1(X16) | (~c1_1(X16)) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | (~c0_1(X18)) | c3_1(X18) | (~ndr1_0)) | ![X17: $i] : (c0_1(X17) | (~c2_1(X17)) | (~c1_1(X17)) | (~ndr1_0))) & (hskp27 | hskp28 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c1_1(X19)) | (~ndr1_0))) & (hskp9 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | (~c3_1(X20)) | (~ndr1_0)) | ![X21: $i] : (c1_1(X21) | (~c0_1(X21)) | c3_1(X21) | (~ndr1_0))) & (hskp10 | ![X22: $i] : (c2_1(X22) | c0_1(X22) | (~c3_1(X22)) | (~ndr1_0)) | ![X23: $i] : ((~c2_1(X23)) | (~c0_1(X23)) | (~c3_1(X23)) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c3_1(X24)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X25: $i] : (c2_1(X25) | c0_1(X25) | (~c3_1(X25)) | (~ndr1_0))) & (hskp0 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c1_1(X27) | (~c2_1(X27)) | c3_1(X27) | (~ndr1_0))) & (hskp3 | ![X28: $i] : (c0_1(X28) | (~c2_1(X28)) | c3_1(X28) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c0_1(X29)) | c3_1(X29) | (~ndr1_0))) & (hskp14 | hskp29 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | c3_1(X30) | (~ndr1_0))) & (![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0)) | ![X32: $i] : (c1_1(X32) | (~c2_1(X32)) | c3_1(X32) | (~ndr1_0)) | ![X33: $i] : (c2_1(X33) | (~c0_1(X33)) | (~c3_1(X33)) | (~ndr1_0))) & (hskp4 | hskp15 | ![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0))) & (![X35: $i] : (c0_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c1_1(X36) | (~c2_1(X36)) | (~c0_1(X36)) | (~ndr1_0)) | ![X37: $i] : ((~c2_1(X37)) | (~c0_1(X37)) | c3_1(X37) | (~ndr1_0))) & (hskp5 | ![X38: $i] : (c0_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c1_1(X39) | (~c2_1(X39)) | (~c0_1(X39)) | (~ndr1_0))) & (hskp9 | hskp16 | ![X40: $i] : (c0_1(X40) | (~c2_1(X40)) | (~c3_1(X40)) | (~ndr1_0))) & (hskp17 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | c3_1(X41) | (~ndr1_0)) | ![X42: $i] : (c1_1(X42) | (~c0_1(X42)) | c3_1(X42) | (~ndr1_0))) & (hskp18 | hskp30 | ![X43: $i] : (c2_1(X43) | c1_1(X43) | c3_1(X43) | (~ndr1_0))) & (hskp1 | hskp19 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | c3_1(X44) | (~ndr1_0))) & (hskp20 | hskp29 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp1 | hskp13 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c0_1(X46)) | (~ndr1_0))) & (hskp0 | hskp21 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | (~c0_1(X47)) | (~ndr1_0))) & (hskp22 | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c1_1(X49) | (~c2_1(X49)) | (~c3_1(X49)) | (~ndr1_0))) & (hskp0 | ![X50: $i] : (c2_1(X50) | c1_1(X50) | (~c3_1(X50)) | (~ndr1_0)) | ![X51: $i] : ((~c0_1(X51)) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp5 | ![X52: $i] : (c2_1(X52) | c1_1(X52) | (~c3_1(X52)) | (~ndr1_0)) | ![X53: $i] : ((~c2_1(X53)) | (~c0_1(X53)) | c3_1(X53) | (~ndr1_0))) & (hskp29 | ![X54: $i] : (c2_1(X54) | c1_1(X54) | (~c3_1(X54)) | (~ndr1_0)) | ![X55: $i] : ((~c2_1(X55)) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp29 | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | c3_1(X56) | (~ndr1_0)) | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c3_1(X57)) | (~ndr1_0))) & (hskp13 | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c0_1(X58)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c0_1(X59)) | c3_1(X59) | (~ndr1_0))) & (![X60: $i] : (c1_1(X60) | (~c2_1(X60)) | (~c0_1(X60)) | (~ndr1_0)) | ![X61: $i] : (c2_1(X61) | (~c0_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | (~c3_1(X62)) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c1_1(X63) | (~c0_1(X63)) | (~c3_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | c3_1(X64) | (~c1_1(X64)) | (~ndr1_0))) & (hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0)) | ![X66: $i] : ((~c2_1(X66)) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp2 | hskp23 | ![X67: $i] : (c1_1(X67) | (~c2_1(X67)) | (~c3_1(X67)) | (~ndr1_0))) & (hskp0 | hskp1 | ![X68: $i] : (c1_1(X68) | (~c2_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) & (hskp2 | hskp4 | ![X71: $i] : (c2_1(X71) | (~c0_1(X71)) | c3_1(X71) | (~ndr1_0))) & (hskp24 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0)) | ![X73: $i] : ((~c2_1(X73)) | (~c0_1(X73)) | c3_1(X73) | (~ndr1_0))) & (hskp19 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp14 | hskp18 | ![X75: $i] : (c2_1(X75) | (~c3_1(X75)) | (~c1_1(X75)) | (~ndr1_0))) & (hskp25 | hskp27 | ![X76: $i] : ((~c2_1(X76)) | c3_1(X76) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : ((~c2_1(X79)) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c0_1(X77)) | (~c1_1(X77)) | (~ndr1_0)) | ![X78: $i] : ((~c0_1(X78)) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp1 | hskp9 | hskp28) & (hskp7 | hskp9 | hskp28) & (hskp2 | hskp15 | hskp25) & (hskp7 | hskp11 | hskp20) & (hskp11 | hskp22) & (hskp2 | hskp18 | hskp30) & (hskp7 | hskp27 | hskp30) & (hskp17 | hskp27 | hskp30) & (hskp2 | hskp23 | hskp24) & (hskp7 | hskp18 | hskp26)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.45 tff(10,plain,
% 0.20/0.45 (hskp11 | hskp22),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(11,plain,
% 0.20/0.45 (hskp11 | hskp22),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.45 tff(12,plain,
% 0.20/0.45 (hskp11),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[11, 2])).
% 0.20/0.45 tff(13,plain,
% 0.20/0.45 (((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) <=> ((~hskp11) | (~(c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | (~c1_1(a19)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(14,plain,
% 0.20/0.45 (((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))) <=> ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(15,plain,
% 0.20/0.45 ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(16,plain,
% 0.20/0.45 ((~hskp11) | (ndr1_0 & c0_1(a19) & c1_1(a19) & (~c3_1(a19)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.45 tff(17,plain,
% 0.20/0.45 ((~hskp11) | (~(c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | (~c1_1(a19))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.20/0.45 tff(18,plain,
% 0.20/0.45 (~(c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | (~c1_1(a19)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[17, 12])).
% 0.20/0.45 tff(19,plain,
% 0.20/0.45 ((c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | (~c1_1(a19))) | c0_1(a19)),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(20,plain,
% 0.20/0.45 (c0_1(a19)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.20/0.45 tff(21,assumption,(~ndr1_0), introduced(assumption)).
% 0.20/0.45 tff(22,plain,
% 0.20/0.45 ((c2_1(a12) | c3_1(a12) | (~ndr1_0) | (~c1_1(a12))) | ndr1_0),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(23,plain,
% 0.20/0.45 (c2_1(a12) | c3_1(a12) | (~ndr1_0) | (~c1_1(a12))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.20/0.45 tff(24,plain,
% 0.20/0.45 (((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) <=> ((~hskp9) | (~(c2_1(a12) | c3_1(a12) | (~ndr1_0) | (~c1_1(a12)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(25,plain,
% 0.20/0.45 (((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))) <=> ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(26,plain,
% 0.20/0.45 ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(27,plain,
% 0.20/0.45 ((~hskp9) | (ndr1_0 & c1_1(a12) & (~c2_1(a12)) & (~c3_1(a12)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.20/0.45 tff(28,plain,
% 0.20/0.45 ((~hskp9) | (~(c2_1(a12) | c3_1(a12) | (~ndr1_0) | (~c1_1(a12))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[27, 24])).
% 0.20/0.45 tff(29,plain,
% 0.20/0.45 (~hskp9),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[28, 23])).
% 0.20/0.45 tff(30,plain,
% 0.20/0.45 ((c2_1(a2) | (~ndr1_0) | (~c0_1(a2)) | (~c3_1(a2))) | ndr1_0),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(31,plain,
% 0.20/0.45 (c2_1(a2) | (~ndr1_0) | (~c0_1(a2)) | (~c3_1(a2))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[30, 21])).
% 0.20/0.45 tff(32,plain,
% 0.20/0.45 (((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) <=> ((~hskp1) | (~(c2_1(a2) | (~ndr1_0) | (~c0_1(a2)) | (~c3_1(a2)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(33,plain,
% 0.20/0.45 (((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))) <=> ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(34,plain,
% 0.20/0.45 ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(35,plain,
% 0.20/0.45 ((~hskp1) | (ndr1_0 & c0_1(a2) & c3_1(a2) & (~c2_1(a2)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.45 tff(36,plain,
% 0.20/0.45 ((~hskp1) | (~(c2_1(a2) | (~ndr1_0) | (~c0_1(a2)) | (~c3_1(a2))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[35, 32])).
% 0.20/0.45 tff(37,plain,
% 0.20/0.45 (~hskp1),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[36, 31])).
% 0.20/0.45 tff(38,plain,
% 0.20/0.45 (((~ndr1_0) | (~c0_1(a15)) | (~c1_1(a15)) | (~c3_1(a15))) | ndr1_0),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(39,plain,
% 0.20/0.45 ((~ndr1_0) | (~c0_1(a15)) | (~c1_1(a15)) | (~c3_1(a15))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[38, 21])).
% 0.20/0.45 tff(40,plain,
% 0.20/0.45 (((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) <=> ((~hskp28) | (~((~ndr1_0) | (~c0_1(a15)) | (~c1_1(a15)) | (~c3_1(a15)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(41,plain,
% 0.20/0.45 (((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))) <=> ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(42,plain,
% 0.20/0.45 ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(43,plain,
% 0.20/0.45 ((~hskp28) | (ndr1_0 & c0_1(a15) & c1_1(a15) & c3_1(a15))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.20/0.45 tff(44,plain,
% 0.20/0.45 ((~hskp28) | (~((~ndr1_0) | (~c0_1(a15)) | (~c1_1(a15)) | (~c3_1(a15))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[43, 40])).
% 0.20/0.45 tff(45,plain,
% 0.20/0.45 (~hskp28),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[44, 39])).
% 0.20/0.45 tff(46,plain,
% 0.20/0.45 ((hskp1 | hskp9 | hskp28) <=> (hskp1 | hskp9 | hskp28)),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(47,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(48,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.20/0.45 tff(49,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[48, 46])).
% 0.20/0.45 tff(50,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[49, 46])).
% 0.20/0.45 tff(51,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.20/0.45 tff(52,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[51, 46])).
% 0.20/0.45 tff(53,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[52, 46])).
% 0.20/0.45 tff(54,plain,
% 0.20/0.45 (hskp1 | hskp9 | hskp28),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.20/0.45 tff(55,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[54, 45, 37, 29])).
% 0.20/0.45 tff(56,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(57,assumption,(~c2_1(a19)), introduced(assumption)).
% 0.20/0.45 tff(58,assumption,(ndr1_0), introduced(assumption)).
% 0.20/0.45 tff(59,plain,
% 0.20/0.45 ((c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | (~c1_1(a19))) | (~c3_1(a19))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(60,plain,
% 0.20/0.45 (~c3_1(a19)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[59, 18])).
% 0.20/0.45 tff(61,assumption,(![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.45 tff(62,assumption,(c0_1(a19)), introduced(assumption)).
% 0.20/0.45 tff(63,assumption,(~c3_1(a19)), introduced(assumption)).
% 0.20/0.45 tff(64,plain,
% 0.20/0.45 (((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | (c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | c2_1(a19))) <=> ((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | c2_1(a19))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(65,plain,
% 0.20/0.45 ((c2_1(a19) | (~c0_1(a19)) | c3_1(a19) | (~ndr1_0)) <=> (c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | c2_1(a19))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(66,plain,
% 0.20/0.45 (((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | (c2_1(a19) | (~c0_1(a19)) | c3_1(a19) | (~ndr1_0))) <=> ((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | (c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | c2_1(a19)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[65])).
% 0.20/0.45 tff(67,plain,
% 0.20/0.45 (((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | (c2_1(a19) | (~c0_1(a19)) | c3_1(a19) | (~ndr1_0))) <=> ((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | c2_1(a19))),
% 0.20/0.45 inference(transitivity,[status(thm)],[66, 64])).
% 0.20/0.45 tff(68,plain,
% 0.20/0.45 ((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | (c2_1(a19) | (~c0_1(a19)) | c3_1(a19) | (~ndr1_0))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(69,plain,
% 0.20/0.45 ((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | c3_1(a19) | (~ndr1_0) | (~c0_1(a19)) | c2_1(a19)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.20/0.45 tff(70,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[69, 58, 63, 62, 61, 57])).
% 0.20/0.45 tff(71,plain,((~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))) | (~ndr1_0) | c3_1(a19) | (~c0_1(a19)) | c2_1(a19)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(72,plain,
% 0.20/0.45 (~![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[71, 57, 60, 20, 58])).
% 0.20/0.45 tff(73,plain,
% 0.20/0.45 ((hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) <=> (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(74,plain,
% 0.20/0.45 ((hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))) <=> (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(75,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(and_elim,[status(thm)],[9])).
% 0.20/0.45 tff(76,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.20/0.45 tff(77,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[76, 74])).
% 0.20/0.45 tff(78,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[77, 74])).
% 0.20/0.45 tff(79,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.20/0.45 tff(80,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[79, 74])).
% 0.20/0.45 tff(81,plain,
% 0.20/0.45 (hskp22 | ![X69: $i] : (c2_1(X69) | (~c0_1(X69)) | c3_1(X69) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[80, 74])).
% 0.20/0.45 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------