TSTP Solution File: SYN455+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN455+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 23:55:33 EDT 2022
% Result : Theorem 0.21s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN455+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Sep 5 04:14:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.48 % SZS status Theorem
% 0.21/0.48 % SZS output start Proof
% 0.21/0.48 tff(hskp12_type, type, (
% 0.21/0.48 hskp12: $o)).
% 0.21/0.48 tff(c3_1_type, type, (
% 0.21/0.48 c3_1: $i > $o)).
% 0.21/0.48 tff(a917_type, type, (
% 0.21/0.48 a917: $i)).
% 0.21/0.48 tff(c1_1_type, type, (
% 0.21/0.48 c1_1: $i > $o)).
% 0.21/0.48 tff(ndr1_0_type, type, (
% 0.21/0.48 ndr1_0: $o)).
% 0.21/0.48 tff(c2_1_type, type, (
% 0.21/0.48 c2_1: $i > $o)).
% 0.21/0.48 tff(a908_type, type, (
% 0.21/0.48 a908: $i)).
% 0.21/0.48 tff(hskp7_type, type, (
% 0.21/0.48 hskp7: $o)).
% 0.21/0.48 tff(a907_type, type, (
% 0.21/0.48 a907: $i)).
% 0.21/0.48 tff(c0_1_type, type, (
% 0.21/0.48 c0_1: $i > $o)).
% 0.21/0.48 tff(hskp6_type, type, (
% 0.21/0.48 hskp6: $o)).
% 0.21/0.48 tff(hskp5_type, type, (
% 0.21/0.48 hskp5: $o)).
% 0.21/0.48 tff(a906_type, type, (
% 0.21/0.48 a906: $i)).
% 0.21/0.48 tff(a905_type, type, (
% 0.21/0.48 a905: $i)).
% 0.21/0.48 tff(a916_type, type, (
% 0.21/0.48 a916: $i)).
% 0.21/0.48 tff(hskp28_type, type, (
% 0.21/0.48 hskp28: $o)).
% 0.21/0.48 tff(a921_type, type, (
% 0.21/0.48 a921: $i)).
% 0.21/0.48 tff(hskp13_type, type, (
% 0.21/0.48 hskp13: $o)).
% 0.21/0.48 tff(hskp21_type, type, (
% 0.21/0.48 hskp21: $o)).
% 0.21/0.48 tff(a946_type, type, (
% 0.21/0.48 a946: $i)).
% 0.21/0.48 tff(hskp20_type, type, (
% 0.21/0.48 hskp20: $o)).
% 0.21/0.48 tff(hskp14_type, type, (
% 0.21/0.48 hskp14: $o)).
% 0.21/0.48 tff(hskp4_type, type, (
% 0.21/0.48 hskp4: $o)).
% 0.21/0.48 tff(hskp26_type, type, (
% 0.21/0.48 hskp26: $o)).
% 0.21/0.48 tff(hskp11_type, type, (
% 0.21/0.48 hskp11: $o)).
% 0.21/0.48 tff(hskp23_type, type, (
% 0.21/0.48 hskp23: $o)).
% 0.21/0.48 tff(hskp15_type, type, (
% 0.21/0.48 hskp15: $o)).
% 0.21/0.48 tff(hskp8_type, type, (
% 0.21/0.48 hskp8: $o)).
% 0.21/0.48 tff(hskp30_type, type, (
% 0.21/0.48 hskp30: $o)).
% 0.21/0.48 tff(hskp17_type, type, (
% 0.21/0.48 hskp17: $o)).
% 0.21/0.48 tff(hskp27_type, type, (
% 0.21/0.48 hskp27: $o)).
% 0.21/0.48 tff(hskp10_type, type, (
% 0.21/0.48 hskp10: $o)).
% 0.21/0.48 tff(hskp25_type, type, (
% 0.21/0.48 hskp25: $o)).
% 0.21/0.48 tff(hskp1_type, type, (
% 0.21/0.48 hskp1: $o)).
% 0.21/0.48 tff(hskp24_type, type, (
% 0.21/0.48 hskp24: $o)).
% 0.21/0.48 tff(hskp9_type, type, (
% 0.21/0.48 hskp9: $o)).
% 0.21/0.48 tff(hskp16_type, type, (
% 0.21/0.48 hskp16: $o)).
% 0.21/0.48 tff(hskp0_type, type, (
% 0.21/0.48 hskp0: $o)).
% 0.21/0.48 tff(hskp22_type, type, (
% 0.21/0.48 hskp22: $o)).
% 0.21/0.48 tff(hskp18_type, type, (
% 0.21/0.48 hskp18: $o)).
% 0.21/0.48 tff(hskp19_type, type, (
% 0.21/0.48 hskp19: $o)).
% 0.21/0.48 tff(hskp29_type, type, (
% 0.21/0.48 hskp29: $o)).
% 0.21/0.48 tff(hskp3_type, type, (
% 0.21/0.48 hskp3: $o)).
% 0.21/0.48 tff(hskp2_type, type, (
% 0.21/0.48 hskp2: $o)).
% 0.21/0.48 tff(a942_type, type, (
% 0.21/0.48 a942: $i)).
% 0.21/0.48 tff(a933_type, type, (
% 0.21/0.48 a933: $i)).
% 0.21/0.48 tff(a900_type, type, (
% 0.21/0.48 a900: $i)).
% 0.21/0.48 tff(a979_type, type, (
% 0.21/0.48 a979: $i)).
% 0.21/0.48 tff(a960_type, type, (
% 0.21/0.48 a960: $i)).
% 0.21/0.48 tff(a959_type, type, (
% 0.21/0.49 a959: $i)).
% 0.21/0.49 tff(a954_type, type, (
% 0.21/0.49 a954: $i)).
% 0.21/0.49 tff(a949_type, type, (
% 0.21/0.49 a949: $i)).
% 0.21/0.49 tff(a939_type, type, (
% 0.21/0.49 a939: $i)).
% 0.21/0.49 tff(a938_type, type, (
% 0.21/0.49 a938: $i)).
% 0.21/0.49 tff(a937_type, type, (
% 0.21/0.49 a937: $i)).
% 0.21/0.49 tff(a936_type, type, (
% 0.21/0.49 a936: $i)).
% 0.21/0.49 tff(a926_type, type, (
% 0.21/0.49 a926: $i)).
% 0.21/0.49 tff(a924_type, type, (
% 0.21/0.49 a924: $i)).
% 0.21/0.49 tff(a923_type, type, (
% 0.21/0.49 a923: $i)).
% 0.21/0.49 tff(a914_type, type, (
% 0.21/0.49 a914: $i)).
% 0.21/0.49 tff(a912_type, type, (
% 0.21/0.49 a912: $i)).
% 0.21/0.49 tff(a910_type, type, (
% 0.21/0.49 a910: $i)).
% 0.21/0.49 tff(a909_type, type, (
% 0.21/0.49 a909: $i)).
% 0.21/0.49 tff(a904_type, type, (
% 0.21/0.49 a904: $i)).
% 0.21/0.49 tff(a903_type, type, (
% 0.21/0.49 a903: $i)).
% 0.21/0.49 tff(a902_type, type, (
% 0.21/0.49 a902: $i)).
% 0.21/0.49 tff(a901_type, type, (
% 0.21/0.49 a901: $i)).
% 0.21/0.49 tff(1,assumption,(~hskp7), introduced(assumption)).
% 0.21/0.49 tff(2,assumption,(~![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))), introduced(assumption)).
% 0.21/0.49 tff(3,assumption,(~(c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))), introduced(assumption)).
% 0.21/0.49 tff(4,plain,
% 0.21/0.49 ((c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)) | (~c2_1(a946))),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(5,plain,
% 0.21/0.49 (~c2_1(a946)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[4, 3])).
% 0.21/0.49 tff(6,plain,
% 0.21/0.49 ((c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)) | (~c3_1(a946))),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(7,plain,
% 0.21/0.49 (~c3_1(a946)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[6, 3])).
% 0.21/0.49 tff(8,plain,
% 0.21/0.49 ((c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)) | (~c0_1(a946))),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(9,plain,
% 0.21/0.49 (~c0_1(a946)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[8, 3])).
% 0.21/0.49 tff(10,assumption,(~ndr1_0), introduced(assumption)).
% 0.21/0.49 tff(11,plain,
% 0.21/0.49 ((c2_1(a917) | (~ndr1_0) | (~c1_1(a917)) | (~c3_1(a917))) | ndr1_0),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(12,plain,
% 0.21/0.49 (c2_1(a917) | (~ndr1_0) | (~c1_1(a917)) | (~c3_1(a917))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.21/0.49 tff(13,plain,
% 0.21/0.49 (((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) <=> ((~hskp12) | (~(c2_1(a917) | (~ndr1_0) | (~c1_1(a917)) | (~c3_1(a917)))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(14,plain,
% 0.21/0.49 (((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) <=> ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(15,plain,
% 0.21/0.49 ((~(~(((~hskp0) | (ndr1_0 & (~c0_1(a901)) & (~c1_1(a901)) & (~c3_1(a901)))) & ((~hskp1) | (ndr1_0 & c0_1(a902) & c2_1(a902) & (~c1_1(a902)))) & ((~hskp2) | (ndr1_0 & c0_1(a903) & (~c2_1(a903)) & (~c3_1(a903)))) & ((~hskp3) | (ndr1_0 & c0_1(a904) & (~c1_1(a904)) & (~c2_1(a904)))) & ((~hskp4) | (ndr1_0 & c3_1(a905) & (~c0_1(a905)) & (~c2_1(a905)))) & ((~hskp5) | (ndr1_0 & c0_1(a906) & c2_1(a906) & (~c3_1(a906)))) & ((~hskp6) | (ndr1_0 & c0_1(a907) & c1_1(a907) & (~c2_1(a907)))) & ((~hskp7) | (ndr1_0 & c1_1(a908) & (~c2_1(a908)) & (~c3_1(a908)))) & ((~hskp8) | (ndr1_0 & c1_1(a909) & (~c0_1(a909)) & (~c3_1(a909)))) & ((~hskp9) | (ndr1_0 & c2_1(a910) & (~c1_1(a910)) & (~c3_1(a910)))) & ((~hskp10) | (ndr1_0 & c1_1(a912) & c2_1(a912) & (~c0_1(a912)))) & ((~hskp11) | (ndr1_0 & c0_1(a914) & c3_1(a914) & (~c2_1(a914)))) & ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) & ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) & ((~hskp14) | (ndr1_0 & c3_1(a923) & (~c0_1(a923)) & (~c1_1(a923)))) & ((~hskp15) | (ndr1_0 & c2_1(a924) & (~c0_1(a924)) & (~c1_1(a924)))) & ((~hskp16) | (ndr1_0 & c1_1(a926) & c2_1(a926) & (~c3_1(a926)))) & ((~hskp17) | (ndr1_0 & (~c1_1(a936)) & (~c2_1(a936)) & (~c3_1(a936)))) & ((~hskp18) | (ndr1_0 & c1_1(a937) & (~c0_1(a937)) & (~c2_1(a937)))) & ((~hskp19) | (ndr1_0 & c2_1(a938) & c3_1(a938) & (~c0_1(a938)))) & ((~hskp20) | (ndr1_0 & c0_1(a939) & (~c1_1(a939)) & (~c3_1(a939)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) & ((~hskp22) | (ndr1_0 & c2_1(a949) & c3_1(a949) & (~c1_1(a949)))) & ((~hskp23) | (ndr1_0 & c1_1(a954) & c3_1(a954) & (~c0_1(a954)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a959)) & (~c1_1(a959)) & (~c2_1(a959)))) & ((~hskp25) | (ndr1_0 & c0_1(a960) & c3_1(a960) & (~c1_1(a960)))) & ((~hskp26) | (ndr1_0 & c0_1(a979) & c1_1(a979) & (~c3_1(a979)))) & ((~hskp27) | (ndr1_0 & c1_1(a900) & c2_1(a900) & c3_1(a900))) & ((~hskp28) | (ndr1_0 & c0_1(a916) & c1_1(a916) & c3_1(a916))) & ((~hskp29) | (ndr1_0 & c0_1(a933) & c2_1(a933) & c3_1(a933))) & ((~hskp30) | (ndr1_0 & c0_1(a942) & c1_1(a942) & c2_1(a942))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c0_1(V) | (~c3_1(V)) | (~ndr1_0)) | ![W: $i] : ((~c3_1(W)) | (~c1_1(W)) | (~c0_1(W)) | (~ndr1_0))) & (![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c0_1(Y) | c3_1(Y) | (~c2_1(Y)) | (~ndr1_0)) | ![Z: $i] : (c1_1(Z) | c3_1(Z) | (~c0_1(Z)) | (~ndr1_0))) & (hskp27 | ![X1: $i] : (c2_1(X1) | c1_1(X1) | c0_1(X1) | (~ndr1_0)) | ![X2: $i] : (c0_1(X2) | (~c3_1(X2)) | (~c1_1(X2)) | (~ndr1_0))) & (hskp0 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c2_1(X4) | (~c3_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c3_1(X6) | (~c0_1(X6)) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c3_1(X7) | (~c1_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X8: $i] : (c2_1(X8) | c1_1(X8) | c0_1(X8) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (![X12: $i] : (c1_1(X12) | c0_1(X12) | c3_1(X12) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c3_1(X14) | (~c0_1(X14)) | (~ndr1_0)) | ![X13: $i] : (c0_1(X13) | (~c1_1(X13)) | (~c2_1(X13)) | (~ndr1_0))) & (hskp3 | hskp4 | ![X15: $i] : (c1_1(X15) | c0_1(X15) | (~c2_1(X15)) | (~ndr1_0))) & (hskp5 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c3_1(X16)) | (~ndr1_0)) | ![X17: $i] : ((~c3_1(X17)) | (~c1_1(X17)) | (~c2_1(X17)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X18: $i] : (c1_1(X18) | c0_1(X18) | (~c3_1(X18)) | (~ndr1_0))) & (hskp8 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0))) & (hskp9 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | c3_1(X21) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | c1_1(X22) | (~c0_1(X22)) | (~ndr1_0))) & (hskp10 | hskp27 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | c3_1(X23) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c0_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp5 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c0_1(X26) | (~c3_1(X26)) | (~c2_1(X26)) | (~ndr1_0))) & (hskp12 | hskp28 | ![X27: $i] : (c0_1(X27) | c3_1(X27) | (~c2_1(X27)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (![X29: $i] : (c0_1(X29) | (~c1_1(X29)) | (~c2_1(X29)) | (~ndr1_0)) | ![X30: $i] : (c1_1(X30) | c3_1(X30) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp7 | hskp14 | ![X33: $i] : (c0_1(X33) | (~c1_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (hskp15 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c2_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c3_1(X35)) | (~c1_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) & (hskp7 | hskp13 | ![X37: $i] : (c0_1(X37) | (~c3_1(X37)) | (~c2_1(X37)) | (~ndr1_0))) & (hskp11 | hskp27 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (hskp9 | hskp27 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | c3_1(X39) | (~ndr1_0))) & (hskp29 | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c0_1(X40)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | (~c3_1(X41)) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : ((~c3_1(X43)) | (~c1_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (hskp12 | hskp17 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp18 | hskp19 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp18 | hskp20 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0))) & (hskp9 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c0_1(X48)) | (~c2_1(X48)) | (~ndr1_0))) & (hskp7 | hskp30 | ![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0))) & (hskp27 | ![X50: $i] : (c1_1(X50) | (~c0_1(X50)) | (~c2_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp0 | ![X52: $i] : (c1_1(X52) | (~c0_1(X52)) | (~c2_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c2_1(X53) | (~c1_1(X53)) | (~c0_1(X53)) | (~ndr1_0))) & (hskp21 | ![X54: $i] : (c1_1(X54) | (~c3_1(X54)) | (~c0_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | c3_1(X55) | (~c1_1(X55)) | (~ndr1_0))) & (hskp1 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0)) | ![X57: $i] : ((~c3_1(X57)) | (~c1_1(X57)) | (~c0_1(X57)) | (~ndr1_0))) & (hskp28 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c0_1(X58)) | (~ndr1_0))) & (hskp22 | ![X59: $i] : (c2_1(X59) | c3_1(X59) | (~c0_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c2_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp0 | ![X61: $i] : (c2_1(X61) | c3_1(X61) | (~c0_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c3_1(X62) | (~c1_1(X62)) | (~c0_1(X62)) | (~ndr1_0))) & (hskp6 | hskp14 | ![X63: $i] : (c2_1(X63) | c3_1(X63) | (~c0_1(X63)) | (~ndr1_0))) & (hskp1 | hskp23 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c1_1(X65)) | (~ndr1_0)) | ![X66: $i] : (c2_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X69: $i] : ((~c3_1(X69)) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (hskp16 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (hskp9 | hskp30 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp24 | hskp30 | ![X73: $i] : (c2_1(X73) | (~c1_1(X73)) | (~c0_1(X73)) | (~ndr1_0))) & (hskp25 | ![X74: $i] : (c2_1(X74) | (~c3_1(X74)) | (~c0_1(X74)) | (~ndr1_0)) | ![X75: $i] : (c3_1(X75) | (~c1_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X76: $i] : (c2_1(X76) | (~c3_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp5 | hskp7 | ![X77: $i] : (c2_1(X77) | (~c3_1(X77)) | (~c0_1(X77)) | (~ndr1_0))) & (hskp21 | hskp25 | ![X78: $i] : (c2_1(X78) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp10 | hskp21 | ![X79: $i] : (c2_1(X79) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0))) & (hskp13 | hskp27 | ![X80: $i] : (c3_1(X80) | (~c1_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp17 | hskp30 | ![X81: $i] : (c3_1(X81) | (~c0_1(X81)) | (~c2_1(X81)) | (~ndr1_0))) & (hskp8 | hskp20 | ![X82: $i] : (c3_1(X82) | (~c1_1(X82)) | (~c2_1(X82)) | (~ndr1_0))) & (hskp15 | hskp23 | ![X83: $i] : ((~c3_1(X83)) | (~c0_1(X83)) | (~c2_1(X83)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X84: $i] : ((~c3_1(X84)) | (~c1_1(X84)) | (~c2_1(X84)) | (~ndr1_0))) & (hskp5 | hskp21 | hskp26) & (hskp4 | hskp14 | hskp20) & (hskp12 | hskp13 | hskp21)))) <=> (((~hskp0) | (ndr1_0 & (~c0_1(a901)) & (~c1_1(a901)) & (~c3_1(a901)))) & ((~hskp1) | (ndr1_0 & c0_1(a902) & c2_1(a902) & (~c1_1(a902)))) & ((~hskp2) | (ndr1_0 & c0_1(a903) & (~c2_1(a903)) & (~c3_1(a903)))) & ((~hskp3) | (ndr1_0 & c0_1(a904) & (~c1_1(a904)) & (~c2_1(a904)))) & ((~hskp4) | (ndr1_0 & c3_1(a905) & (~c0_1(a905)) & (~c2_1(a905)))) & ((~hskp5) | (ndr1_0 & c0_1(a906) & c2_1(a906) & (~c3_1(a906)))) & ((~hskp6) | (ndr1_0 & c0_1(a907) & c1_1(a907) & (~c2_1(a907)))) & ((~hskp7) | (ndr1_0 & c1_1(a908) & (~c2_1(a908)) & (~c3_1(a908)))) & ((~hskp8) | (ndr1_0 & c1_1(a909) & (~c0_1(a909)) & (~c3_1(a909)))) & ((~hskp9) | (ndr1_0 & c2_1(a910) & (~c1_1(a910)) & (~c3_1(a910)))) & ((~hskp10) | (ndr1_0 & c1_1(a912) & c2_1(a912) & (~c0_1(a912)))) & ((~hskp11) | (ndr1_0 & c0_1(a914) & c3_1(a914) & (~c2_1(a914)))) & ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) & ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) & ((~hskp14) | (ndr1_0 & c3_1(a923) & (~c0_1(a923)) & (~c1_1(a923)))) & ((~hskp15) | (ndr1_0 & c2_1(a924) & (~c0_1(a924)) & (~c1_1(a924)))) & ((~hskp16) | (ndr1_0 & c1_1(a926) & c2_1(a926) & (~c3_1(a926)))) & ((~hskp17) | (ndr1_0 & (~c1_1(a936)) & (~c2_1(a936)) & (~c3_1(a936)))) & ((~hskp18) | (ndr1_0 & c1_1(a937) & (~c0_1(a937)) & (~c2_1(a937)))) & ((~hskp19) | (ndr1_0 & c2_1(a938) & c3_1(a938) & (~c0_1(a938)))) & ((~hskp20) | (ndr1_0 & c0_1(a939) & (~c1_1(a939)) & (~c3_1(a939)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) & ((~hskp22) | (ndr1_0 & c2_1(a949) & c3_1(a949) & (~c1_1(a949)))) & ((~hskp23) | (ndr1_0 & c1_1(a954) & c3_1(a954) & (~c0_1(a954)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a959)) & (~c1_1(a959)) & (~c2_1(a959)))) & ((~hskp25) | (ndr1_0 & c0_1(a960) & c3_1(a960) & (~c1_1(a960)))) & ((~hskp26) | (ndr1_0 & c0_1(a979) & c1_1(a979) & (~c3_1(a979)))) & ((~hskp27) | (ndr1_0 & c1_1(a900) & c2_1(a900) & c3_1(a900))) & ((~hskp28) | (ndr1_0 & c0_1(a916) & c1_1(a916) & c3_1(a916))) & ((~hskp29) | (ndr1_0 & c0_1(a933) & c2_1(a933) & c3_1(a933))) & ((~hskp30) | (ndr1_0 & c0_1(a942) & c1_1(a942) & c2_1(a942))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c0_1(V) | (~c3_1(V)) | (~ndr1_0)) | ![W: $i] : ((~c3_1(W)) | (~c1_1(W)) | (~c0_1(W)) | (~ndr1_0))) & (![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c0_1(Y) | c3_1(Y) | (~c2_1(Y)) | (~ndr1_0)) | ![Z: $i] : (c1_1(Z) | c3_1(Z) | (~c0_1(Z)) | (~ndr1_0))) & (hskp27 | ![X1: $i] : (c2_1(X1) | c1_1(X1) | c0_1(X1) | (~ndr1_0)) | ![X2: $i] : (c0_1(X2) | (~c3_1(X2)) | (~c1_1(X2)) | (~ndr1_0))) & (hskp0 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c2_1(X4) | (~c3_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c3_1(X6) | (~c0_1(X6)) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c3_1(X7) | (~c1_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X8: $i] : (c2_1(X8) | c1_1(X8) | c0_1(X8) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (![X12: $i] : (c1_1(X12) | c0_1(X12) | c3_1(X12) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c3_1(X14) | (~c0_1(X14)) | (~ndr1_0)) | ![X13: $i] : (c0_1(X13) | (~c1_1(X13)) | (~c2_1(X13)) | (~ndr1_0))) & (hskp3 | hskp4 | ![X15: $i] : (c1_1(X15) | c0_1(X15) | (~c2_1(X15)) | (~ndr1_0))) & (hskp5 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c3_1(X16)) | (~ndr1_0)) | ![X17: $i] : ((~c3_1(X17)) | (~c1_1(X17)) | (~c2_1(X17)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X18: $i] : (c1_1(X18) | c0_1(X18) | (~c3_1(X18)) | (~ndr1_0))) & (hskp8 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0))) & (hskp9 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | c3_1(X21) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | c1_1(X22) | (~c0_1(X22)) | (~ndr1_0))) & (hskp10 | hskp27 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | c3_1(X23) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c0_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp5 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c0_1(X26) | (~c3_1(X26)) | (~c2_1(X26)) | (~ndr1_0))) & (hskp12 | hskp28 | ![X27: $i] : (c0_1(X27) | c3_1(X27) | (~c2_1(X27)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (![X29: $i] : (c0_1(X29) | (~c1_1(X29)) | (~c2_1(X29)) | (~ndr1_0)) | ![X30: $i] : (c1_1(X30) | c3_1(X30) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp7 | hskp14 | ![X33: $i] : (c0_1(X33) | (~c1_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (hskp15 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c2_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c3_1(X35)) | (~c1_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) & (hskp7 | hskp13 | ![X37: $i] : (c0_1(X37) | (~c3_1(X37)) | (~c2_1(X37)) | (~ndr1_0))) & (hskp11 | hskp27 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (hskp9 | hskp27 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | c3_1(X39) | (~ndr1_0))) & (hskp29 | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c0_1(X40)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | (~c3_1(X41)) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : ((~c3_1(X43)) | (~c1_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (hskp12 | hskp17 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp18 | hskp19 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp18 | hskp20 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0))) & (hskp9 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c0_1(X48)) | (~c2_1(X48)) | (~ndr1_0))) & (hskp7 | hskp30 | ![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0))) & (hskp27 | ![X50: $i] : (c1_1(X50) | (~c0_1(X50)) | (~c2_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp0 | ![X52: $i] : (c1_1(X52) | (~c0_1(X52)) | (~c2_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c2_1(X53) | (~c1_1(X53)) | (~c0_1(X53)) | (~ndr1_0))) & (hskp21 | ![X54: $i] : (c1_1(X54) | (~c3_1(X54)) | (~c0_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | c3_1(X55) | (~c1_1(X55)) | (~ndr1_0))) & (hskp1 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0)) | ![X57: $i] : ((~c3_1(X57)) | (~c1_1(X57)) | (~c0_1(X57)) | (~ndr1_0))) & (hskp28 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c0_1(X58)) | (~ndr1_0))) & (hskp22 | ![X59: $i] : (c2_1(X59) | c3_1(X59) | (~c0_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c2_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp0 | ![X61: $i] : (c2_1(X61) | c3_1(X61) | (~c0_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c3_1(X62) | (~c1_1(X62)) | (~c0_1(X62)) | (~ndr1_0))) & (hskp6 | hskp14 | ![X63: $i] : (c2_1(X63) | c3_1(X63) | (~c0_1(X63)) | (~ndr1_0))) & (hskp1 | hskp23 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c1_1(X65)) | (~ndr1_0)) | ![X66: $i] : (c2_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X69: $i] : ((~c3_1(X69)) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (hskp16 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (hskp9 | hskp30 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp24 | hskp30 | ![X73: $i] : (c2_1(X73) | (~c1_1(X73)) | (~c0_1(X73)) | (~ndr1_0))) & (hskp25 | ![X74: $i] : (c2_1(X74) | (~c3_1(X74)) | (~c0_1(X74)) | (~ndr1_0)) | ![X75: $i] : (c3_1(X75) | (~c1_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X76: $i] : (c2_1(X76) | (~c3_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp5 | hskp7 | ![X77: $i] : (c2_1(X77) | (~c3_1(X77)) | (~c0_1(X77)) | (~ndr1_0))) & (hskp21 | hskp25 | ![X78: $i] : (c2_1(X78) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp10 | hskp21 | ![X79: $i] : (c2_1(X79) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0))) & (hskp13 | hskp27 | ![X80: $i] : (c3_1(X80) | (~c1_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp17 | hskp30 | ![X81: $i] : (c3_1(X81) | (~c0_1(X81)) | (~c2_1(X81)) | (~ndr1_0))) & (hskp8 | hskp20 | ![X82: $i] : (c3_1(X82) | (~c1_1(X82)) | (~c2_1(X82)) | (~ndr1_0))) & (hskp15 | hskp23 | ![X83: $i] : ((~c3_1(X83)) | (~c0_1(X83)) | (~c2_1(X83)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X84: $i] : ((~c3_1(X84)) | (~c1_1(X84)) | (~c2_1(X84)) | (~ndr1_0))) & (hskp5 | hskp21 | hskp26) & (hskp4 | hskp14 | hskp20) & (hskp12 | hskp13 | hskp21))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(16,plain,
% 0.21/0.49 ((~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c0_1(a901))) & (~c1_1(a901))) & (~c3_1(a901)))) & ((~hskp1) | (((ndr1_0 & c0_1(a902)) & c2_1(a902)) & (~c1_1(a902))))) & ((~hskp2) | (((ndr1_0 & c0_1(a903)) & (~c2_1(a903))) & (~c3_1(a903))))) & ((~hskp3) | (((ndr1_0 & c0_1(a904)) & (~c1_1(a904))) & (~c2_1(a904))))) & ((~hskp4) | (((ndr1_0 & c3_1(a905)) & (~c0_1(a905))) & (~c2_1(a905))))) & ((~hskp5) | (((ndr1_0 & c0_1(a906)) & c2_1(a906)) & (~c3_1(a906))))) & ((~hskp6) | (((ndr1_0 & c0_1(a907)) & c1_1(a907)) & (~c2_1(a907))))) & ((~hskp7) | (((ndr1_0 & c1_1(a908)) & (~c2_1(a908))) & (~c3_1(a908))))) & ((~hskp8) | (((ndr1_0 & c1_1(a909)) & (~c0_1(a909))) & (~c3_1(a909))))) & ((~hskp9) | (((ndr1_0 & c2_1(a910)) & (~c1_1(a910))) & (~c3_1(a910))))) & ((~hskp10) | (((ndr1_0 & c1_1(a912)) & c2_1(a912)) & (~c0_1(a912))))) & ((~hskp11) | (((ndr1_0 & c0_1(a914)) & c3_1(a914)) & (~c2_1(a914))))) & ((~hskp12) | (((ndr1_0 & c1_1(a917)) & c3_1(a917)) & (~c2_1(a917))))) & ((~hskp13) | (((ndr1_0 & c2_1(a921)) & (~c0_1(a921))) & (~c3_1(a921))))) & ((~hskp14) | (((ndr1_0 & c3_1(a923)) & (~c0_1(a923))) & (~c1_1(a923))))) & ((~hskp15) | (((ndr1_0 & c2_1(a924)) & (~c0_1(a924))) & (~c1_1(a924))))) & ((~hskp16) | (((ndr1_0 & c1_1(a926)) & c2_1(a926)) & (~c3_1(a926))))) & ((~hskp17) | (((ndr1_0 & (~c1_1(a936))) & (~c2_1(a936))) & (~c3_1(a936))))) & ((~hskp18) | (((ndr1_0 & c1_1(a937)) & (~c0_1(a937))) & (~c2_1(a937))))) & ((~hskp19) | (((ndr1_0 & c2_1(a938)) & c3_1(a938)) & (~c0_1(a938))))) & ((~hskp20) | (((ndr1_0 & c0_1(a939)) & (~c1_1(a939))) & (~c3_1(a939))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a946))) & (~c2_1(a946))) & (~c3_1(a946))))) & ((~hskp22) | (((ndr1_0 & c2_1(a949)) & c3_1(a949)) & (~c1_1(a949))))) & ((~hskp23) | (((ndr1_0 & c1_1(a954)) & c3_1(a954)) & (~c0_1(a954))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a959))) & (~c1_1(a959))) & (~c2_1(a959))))) & ((~hskp25) | (((ndr1_0 & c0_1(a960)) & c3_1(a960)) & (~c1_1(a960))))) & ((~hskp26) | (((ndr1_0 & c0_1(a979)) & c1_1(a979)) & (~c3_1(a979))))) & ((~hskp27) | (((ndr1_0 & c1_1(a900)) & c2_1(a900)) & c3_1(a900)))) & ((~hskp28) | (((ndr1_0 & c0_1(a916)) & c1_1(a916)) & c3_1(a916)))) & ((~hskp29) | (((ndr1_0 & c0_1(a933)) & c2_1(a933)) & c3_1(a933)))) & ((~hskp30) | (((ndr1_0 & c0_1(a942)) & c1_1(a942)) & c2_1(a942)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c2_1(V)) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => (((~c0_1(W)) | (~c1_1(W))) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c3_1(Y)) | (~c2_1(Y))))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c3_1(Z)) | (~c0_1(Z)))))) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c2_1(X1))) | ![X2: $i] : (ndr1_0 => ((c0_1(X2) | (~c1_1(X2))) | (~c3_1(X2))))) | hskp27)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c2_1(X4) | (~c0_1(X4))) | (~c3_1(X4))))) | hskp0)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c3_1(X6) | (~c0_1(X6))) | (~c2_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c3_1(X7) | (~c1_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c2_1(X8))) | hskp1) | hskp2)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | c2_1(X10)) | c3_1(X10)))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | c3_1(X12))) | ![X13: $i] : (ndr1_0 => ((c0_1(X13) | (~c1_1(X13))) | (~c2_1(X13))))) | ![X14: $i] : (ndr1_0 => ((c2_1(X14) | c3_1(X14)) | (~c0_1(X14)))))) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c1_1(X15)) | (~c2_1(X15)))) | hskp3) | hskp4)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c3_1(X16)))) | ![X17: $i] : (ndr1_0 => (((~c1_1(X17)) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp5)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c1_1(X18)) | (~c3_1(X18)))) | hskp6) | hskp7)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | c3_1(X19))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c3_1(X20))))) | hskp8)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | c3_1(X21))) | ![X22: $i] : (ndr1_0 => ((c1_1(X22) | c2_1(X22)) | (~c0_1(X22))))) | hskp9)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | c3_1(X23))) | hskp27) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c3_1(X24)) | (~c1_1(X24)))) | hskp6) | hskp11)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c0_1(X26) | (~c2_1(X26))) | (~c3_1(X26))))) | hskp5)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c3_1(X27)) | (~c2_1(X27)))) | hskp28) | hskp12)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp2) | hskp0)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | ![X30: $i] : (ndr1_0 => ((c1_1(X30) | c3_1(X30)) | (~c2_1(X30))))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31)))))) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp3) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c2_1(X33)))) | hskp7) | hskp14)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c2_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp15)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | hskp28) | hskp16)) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c2_1(X37))) | (~c3_1(X37)))) | hskp7) | hskp13)) & ((![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp11) | hskp27)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | c3_1(X39))) | hskp27) | hskp9)) & ((![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c0_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | (~c0_1(X41))) | (~c3_1(X41))))) | hskp29)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => (((~c0_1(X43)) | (~c1_1(X43))) | (~c3_1(X43))))) | hskp15)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | hskp12) | hskp17)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp18) | hskp19)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | hskp20) | hskp18)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c0_1(X47)))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c2_1(X48))) | (~c3_1(X48))))) | hskp9)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | hskp30) | hskp7)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c1_1(X51))))) | hskp27)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | (~c0_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c0_1(X53))) | (~c1_1(X53))))) | hskp0)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | (~c0_1(X54))) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | c3_1(X55)) | (~c1_1(X55))))) | hskp21)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c3_1(X57))))) | hskp1)) & (![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c3_1(X58)))) | hskp28)) & ((![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c2_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp22)) & ((![X61: $i] : (ndr1_0 => ((c2_1(X61) | c3_1(X61)) | (~c0_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp0)) & ((![X63: $i] : (ndr1_0 => ((c2_1(X63) | c3_1(X63)) | (~c0_1(X63)))) | hskp6) | hskp14)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp1) | hskp23)) & (![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c1_1(X65)))) | ![X66: $i] : (ndr1_0 => ((c2_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))))) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c0_1(X68))) | (~c2_1(X68))))) | ![X69: $i] : (ndr1_0 => (((~c0_1(X69)) | (~c1_1(X69))) | (~c3_1(X69)))))) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70)))) | ![X71: $i] : (ndr1_0 => (((~c1_1(X71)) | (~c2_1(X71))) | (~c3_1(X71))))) | hskp16)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp30) | hskp9)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c1_1(X73)))) | hskp30) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | ![X75: $i] : (ndr1_0 => ((c3_1(X75) | (~c0_1(X75))) | (~c1_1(X75))))) | hskp25)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c3_1(X76)))) | hskp1) | hskp10)) & ((![X77: $i] : (ndr1_0 => ((c2_1(X77) | (~c0_1(X77))) | (~c3_1(X77)))) | hskp5) | hskp7)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp25) | hskp21)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp10) | hskp21)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c1_1(X80)))) | hskp27) | hskp13)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp30) | hskp17)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c1_1(X82))) | (~c2_1(X82)))) | hskp20) | hskp8)) & ((![X83: $i] : (ndr1_0 => (((~c0_1(X83)) | (~c2_1(X83))) | (~c3_1(X83)))) | hskp23) | hskp15)) & ((![X84: $i] : (ndr1_0 => (((~c1_1(X84)) | (~c2_1(X84))) | (~c3_1(X84)))) | hskp11) | hskp12)) & ((hskp26 | hskp5) | hskp21)) & ((hskp20 | hskp14) | hskp4)) & ((hskp12 | hskp13) | hskp21))) <=> (~(((~hskp0) | (ndr1_0 & (~c0_1(a901)) & (~c1_1(a901)) & (~c3_1(a901)))) & ((~hskp1) | (ndr1_0 & c0_1(a902) & c2_1(a902) & (~c1_1(a902)))) & ((~hskp2) | (ndr1_0 & c0_1(a903) & (~c2_1(a903)) & (~c3_1(a903)))) & ((~hskp3) | (ndr1_0 & c0_1(a904) & (~c1_1(a904)) & (~c2_1(a904)))) & ((~hskp4) | (ndr1_0 & c3_1(a905) & (~c0_1(a905)) & (~c2_1(a905)))) & ((~hskp5) | (ndr1_0 & c0_1(a906) & c2_1(a906) & (~c3_1(a906)))) & ((~hskp6) | (ndr1_0 & c0_1(a907) & c1_1(a907) & (~c2_1(a907)))) & ((~hskp7) | (ndr1_0 & c1_1(a908) & (~c2_1(a908)) & (~c3_1(a908)))) & ((~hskp8) | (ndr1_0 & c1_1(a909) & (~c0_1(a909)) & (~c3_1(a909)))) & ((~hskp9) | (ndr1_0 & c2_1(a910) & (~c1_1(a910)) & (~c3_1(a910)))) & ((~hskp10) | (ndr1_0 & c1_1(a912) & c2_1(a912) & (~c0_1(a912)))) & ((~hskp11) | (ndr1_0 & c0_1(a914) & c3_1(a914) & (~c2_1(a914)))) & ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) & ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) & ((~hskp14) | (ndr1_0 & c3_1(a923) & (~c0_1(a923)) & (~c1_1(a923)))) & ((~hskp15) | (ndr1_0 & c2_1(a924) & (~c0_1(a924)) & (~c1_1(a924)))) & ((~hskp16) | (ndr1_0 & c1_1(a926) & c2_1(a926) & (~c3_1(a926)))) & ((~hskp17) | (ndr1_0 & (~c1_1(a936)) & (~c2_1(a936)) & (~c3_1(a936)))) & ((~hskp18) | (ndr1_0 & c1_1(a937) & (~c0_1(a937)) & (~c2_1(a937)))) & ((~hskp19) | (ndr1_0 & c2_1(a938) & c3_1(a938) & (~c0_1(a938)))) & ((~hskp20) | (ndr1_0 & c0_1(a939) & (~c1_1(a939)) & (~c3_1(a939)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) & ((~hskp22) | (ndr1_0 & c2_1(a949) & c3_1(a949) & (~c1_1(a949)))) & ((~hskp23) | (ndr1_0 & c1_1(a954) & c3_1(a954) & (~c0_1(a954)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a959)) & (~c1_1(a959)) & (~c2_1(a959)))) & ((~hskp25) | (ndr1_0 & c0_1(a960) & c3_1(a960) & (~c1_1(a960)))) & ((~hskp26) | (ndr1_0 & c0_1(a979) & c1_1(a979) & (~c3_1(a979)))) & ((~hskp27) | (ndr1_0 & c1_1(a900) & c2_1(a900) & c3_1(a900))) & ((~hskp28) | (ndr1_0 & c0_1(a916) & c1_1(a916) & c3_1(a916))) & ((~hskp29) | (ndr1_0 & c0_1(a933) & c2_1(a933) & c3_1(a933))) & ((~hskp30) | (ndr1_0 & c0_1(a942) & c1_1(a942) & c2_1(a942))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c0_1(V) | (~c3_1(V)) | (~ndr1_0)) | ![W: $i] : ((~c3_1(W)) | (~c1_1(W)) | (~c0_1(W)) | (~ndr1_0))) & (![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c0_1(Y) | c3_1(Y) | (~c2_1(Y)) | (~ndr1_0)) | ![Z: $i] : (c1_1(Z) | c3_1(Z) | (~c0_1(Z)) | (~ndr1_0))) & (hskp27 | ![X1: $i] : (c2_1(X1) | c1_1(X1) | c0_1(X1) | (~ndr1_0)) | ![X2: $i] : (c0_1(X2) | (~c3_1(X2)) | (~c1_1(X2)) | (~ndr1_0))) & (hskp0 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c2_1(X4) | (~c3_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c3_1(X6) | (~c0_1(X6)) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c3_1(X7) | (~c1_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X8: $i] : (c2_1(X8) | c1_1(X8) | c0_1(X8) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (![X12: $i] : (c1_1(X12) | c0_1(X12) | c3_1(X12) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c3_1(X14) | (~c0_1(X14)) | (~ndr1_0)) | ![X13: $i] : (c0_1(X13) | (~c1_1(X13)) | (~c2_1(X13)) | (~ndr1_0))) & (hskp3 | hskp4 | ![X15: $i] : (c1_1(X15) | c0_1(X15) | (~c2_1(X15)) | (~ndr1_0))) & (hskp5 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c3_1(X16)) | (~ndr1_0)) | ![X17: $i] : ((~c3_1(X17)) | (~c1_1(X17)) | (~c2_1(X17)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X18: $i] : (c1_1(X18) | c0_1(X18) | (~c3_1(X18)) | (~ndr1_0))) & (hskp8 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0))) & (hskp9 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | c3_1(X21) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | c1_1(X22) | (~c0_1(X22)) | (~ndr1_0))) & (hskp10 | hskp27 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | c3_1(X23) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c0_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp5 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c0_1(X26) | (~c3_1(X26)) | (~c2_1(X26)) | (~ndr1_0))) & (hskp12 | hskp28 | ![X27: $i] : (c0_1(X27) | c3_1(X27) | (~c2_1(X27)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (![X29: $i] : (c0_1(X29) | (~c1_1(X29)) | (~c2_1(X29)) | (~ndr1_0)) | ![X30: $i] : (c1_1(X30) | c3_1(X30) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp7 | hskp14 | ![X33: $i] : (c0_1(X33) | (~c1_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (hskp15 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c2_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c3_1(X35)) | (~c1_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) & (hskp7 | hskp13 | ![X37: $i] : (c0_1(X37) | (~c3_1(X37)) | (~c2_1(X37)) | (~ndr1_0))) & (hskp11 | hskp27 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (hskp9 | hskp27 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | c3_1(X39) | (~ndr1_0))) & (hskp29 | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c0_1(X40)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | (~c3_1(X41)) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : ((~c3_1(X43)) | (~c1_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (hskp12 | hskp17 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp18 | hskp19 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp18 | hskp20 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0))) & (hskp9 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c0_1(X48)) | (~c2_1(X48)) | (~ndr1_0))) & (hskp7 | hskp30 | ![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0))) & (hskp27 | ![X50: $i] : (c1_1(X50) | (~c0_1(X50)) | (~c2_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp0 | ![X52: $i] : (c1_1(X52) | (~c0_1(X52)) | (~c2_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c2_1(X53) | (~c1_1(X53)) | (~c0_1(X53)) | (~ndr1_0))) & (hskp21 | ![X54: $i] : (c1_1(X54) | (~c3_1(X54)) | (~c0_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | c3_1(X55) | (~c1_1(X55)) | (~ndr1_0))) & (hskp1 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0)) | ![X57: $i] : ((~c3_1(X57)) | (~c1_1(X57)) | (~c0_1(X57)) | (~ndr1_0))) & (hskp28 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c0_1(X58)) | (~ndr1_0))) & (hskp22 | ![X59: $i] : (c2_1(X59) | c3_1(X59) | (~c0_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c2_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp0 | ![X61: $i] : (c2_1(X61) | c3_1(X61) | (~c0_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c3_1(X62) | (~c1_1(X62)) | (~c0_1(X62)) | (~ndr1_0))) & (hskp6 | hskp14 | ![X63: $i] : (c2_1(X63) | c3_1(X63) | (~c0_1(X63)) | (~ndr1_0))) & (hskp1 | hskp23 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c1_1(X65)) | (~ndr1_0)) | ![X66: $i] : (c2_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X69: $i] : ((~c3_1(X69)) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (hskp16 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (hskp9 | hskp30 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp24 | hskp30 | ![X73: $i] : (c2_1(X73) | (~c1_1(X73)) | (~c0_1(X73)) | (~ndr1_0))) & (hskp25 | ![X74: $i] : (c2_1(X74) | (~c3_1(X74)) | (~c0_1(X74)) | (~ndr1_0)) | ![X75: $i] : (c3_1(X75) | (~c1_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X76: $i] : (c2_1(X76) | (~c3_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp5 | hskp7 | ![X77: $i] : (c2_1(X77) | (~c3_1(X77)) | (~c0_1(X77)) | (~ndr1_0))) & (hskp21 | hskp25 | ![X78: $i] : (c2_1(X78) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp10 | hskp21 | ![X79: $i] : (c2_1(X79) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0))) & (hskp13 | hskp27 | ![X80: $i] : (c3_1(X80) | (~c1_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp17 | hskp30 | ![X81: $i] : (c3_1(X81) | (~c0_1(X81)) | (~c2_1(X81)) | (~ndr1_0))) & (hskp8 | hskp20 | ![X82: $i] : (c3_1(X82) | (~c1_1(X82)) | (~c2_1(X82)) | (~ndr1_0))) & (hskp15 | hskp23 | ![X83: $i] : ((~c3_1(X83)) | (~c0_1(X83)) | (~c2_1(X83)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X84: $i] : ((~c3_1(X84)) | (~c1_1(X84)) | (~c2_1(X84)) | (~ndr1_0))) & (hskp5 | hskp21 | hskp26) & (hskp4 | hskp14 | hskp20) & (hskp12 | hskp13 | hskp21)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(17,plain,
% 0.21/0.50 ((~(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c0_1(a901))) & (~c1_1(a901))) & (~c3_1(a901)))) & ((~hskp1) | (((ndr1_0 & c0_1(a902)) & c2_1(a902)) & (~c1_1(a902))))) & ((~hskp2) | (((ndr1_0 & c0_1(a903)) & (~c2_1(a903))) & (~c3_1(a903))))) & ((~hskp3) | (((ndr1_0 & c0_1(a904)) & (~c1_1(a904))) & (~c2_1(a904))))) & ((~hskp4) | (((ndr1_0 & c3_1(a905)) & (~c0_1(a905))) & (~c2_1(a905))))) & ((~hskp5) | (((ndr1_0 & c0_1(a906)) & c2_1(a906)) & (~c3_1(a906))))) & ((~hskp6) | (((ndr1_0 & c0_1(a907)) & c1_1(a907)) & (~c2_1(a907))))) & ((~hskp7) | (((ndr1_0 & c1_1(a908)) & (~c2_1(a908))) & (~c3_1(a908))))) & ((~hskp8) | (((ndr1_0 & c1_1(a909)) & (~c0_1(a909))) & (~c3_1(a909))))) & ((~hskp9) | (((ndr1_0 & c2_1(a910)) & (~c1_1(a910))) & (~c3_1(a910))))) & ((~hskp10) | (((ndr1_0 & c1_1(a912)) & c2_1(a912)) & (~c0_1(a912))))) & ((~hskp11) | (((ndr1_0 & c0_1(a914)) & c3_1(a914)) & (~c2_1(a914))))) & ((~hskp12) | (((ndr1_0 & c1_1(a917)) & c3_1(a917)) & (~c2_1(a917))))) & ((~hskp13) | (((ndr1_0 & c2_1(a921)) & (~c0_1(a921))) & (~c3_1(a921))))) & ((~hskp14) | (((ndr1_0 & c3_1(a923)) & (~c0_1(a923))) & (~c1_1(a923))))) & ((~hskp15) | (((ndr1_0 & c2_1(a924)) & (~c0_1(a924))) & (~c1_1(a924))))) & ((~hskp16) | (((ndr1_0 & c1_1(a926)) & c2_1(a926)) & (~c3_1(a926))))) & ((~hskp17) | (((ndr1_0 & (~c1_1(a936))) & (~c2_1(a936))) & (~c3_1(a936))))) & ((~hskp18) | (((ndr1_0 & c1_1(a937)) & (~c0_1(a937))) & (~c2_1(a937))))) & ((~hskp19) | (((ndr1_0 & c2_1(a938)) & c3_1(a938)) & (~c0_1(a938))))) & ((~hskp20) | (((ndr1_0 & c0_1(a939)) & (~c1_1(a939))) & (~c3_1(a939))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a946))) & (~c2_1(a946))) & (~c3_1(a946))))) & ((~hskp22) | (((ndr1_0 & c2_1(a949)) & c3_1(a949)) & (~c1_1(a949))))) & ((~hskp23) | (((ndr1_0 & c1_1(a954)) & c3_1(a954)) & (~c0_1(a954))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a959))) & (~c1_1(a959))) & (~c2_1(a959))))) & ((~hskp25) | (((ndr1_0 & c0_1(a960)) & c3_1(a960)) & (~c1_1(a960))))) & ((~hskp26) | (((ndr1_0 & c0_1(a979)) & c1_1(a979)) & (~c3_1(a979))))) & ((~hskp27) | (((ndr1_0 & c1_1(a900)) & c2_1(a900)) & c3_1(a900)))) & ((~hskp28) | (((ndr1_0 & c0_1(a916)) & c1_1(a916)) & c3_1(a916)))) & ((~hskp29) | (((ndr1_0 & c0_1(a933)) & c2_1(a933)) & c3_1(a933)))) & ((~hskp30) | (((ndr1_0 & c0_1(a942)) & c1_1(a942)) & c2_1(a942)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c2_1(V)) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => (((~c0_1(W)) | (~c1_1(W))) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c3_1(Y)) | (~c2_1(Y))))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c3_1(Z)) | (~c0_1(Z)))))) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c2_1(X1))) | ![X2: $i] : (ndr1_0 => ((c0_1(X2) | (~c1_1(X2))) | (~c3_1(X2))))) | hskp27)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c2_1(X4) | (~c0_1(X4))) | (~c3_1(X4))))) | hskp0)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c3_1(X6) | (~c0_1(X6))) | (~c2_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c3_1(X7) | (~c1_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c2_1(X8))) | hskp1) | hskp2)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | c2_1(X10)) | c3_1(X10)))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | c3_1(X12))) | ![X13: $i] : (ndr1_0 => ((c0_1(X13) | (~c1_1(X13))) | (~c2_1(X13))))) | ![X14: $i] : (ndr1_0 => ((c2_1(X14) | c3_1(X14)) | (~c0_1(X14)))))) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c1_1(X15)) | (~c2_1(X15)))) | hskp3) | hskp4)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c3_1(X16)))) | ![X17: $i] : (ndr1_0 => (((~c1_1(X17)) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp5)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c1_1(X18)) | (~c3_1(X18)))) | hskp6) | hskp7)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | c3_1(X19))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c3_1(X20))))) | hskp8)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | c3_1(X21))) | ![X22: $i] : (ndr1_0 => ((c1_1(X22) | c2_1(X22)) | (~c0_1(X22))))) | hskp9)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | c3_1(X23))) | hskp27) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c3_1(X24)) | (~c1_1(X24)))) | hskp6) | hskp11)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c0_1(X26) | (~c2_1(X26))) | (~c3_1(X26))))) | hskp5)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c3_1(X27)) | (~c2_1(X27)))) | hskp28) | hskp12)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp2) | hskp0)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | ![X30: $i] : (ndr1_0 => ((c1_1(X30) | c3_1(X30)) | (~c2_1(X30))))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31)))))) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp3) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c2_1(X33)))) | hskp7) | hskp14)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c2_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp15)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | hskp28) | hskp16)) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c2_1(X37))) | (~c3_1(X37)))) | hskp7) | hskp13)) & ((![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp11) | hskp27)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | c3_1(X39))) | hskp27) | hskp9)) & ((![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c0_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | (~c0_1(X41))) | (~c3_1(X41))))) | hskp29)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => (((~c0_1(X43)) | (~c1_1(X43))) | (~c3_1(X43))))) | hskp15)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | hskp12) | hskp17)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp18) | hskp19)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | hskp20) | hskp18)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c0_1(X47)))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c2_1(X48))) | (~c3_1(X48))))) | hskp9)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | hskp30) | hskp7)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c1_1(X51))))) | hskp27)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | (~c0_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c0_1(X53))) | (~c1_1(X53))))) | hskp0)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | (~c0_1(X54))) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | c3_1(X55)) | (~c1_1(X55))))) | hskp21)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c3_1(X57))))) | hskp1)) & (![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c3_1(X58)))) | hskp28)) & ((![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c2_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp22)) & ((![X61: $i] : (ndr1_0 => ((c2_1(X61) | c3_1(X61)) | (~c0_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp0)) & ((![X63: $i] : (ndr1_0 => ((c2_1(X63) | c3_1(X63)) | (~c0_1(X63)))) | hskp6) | hskp14)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp1) | hskp23)) & (![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c1_1(X65)))) | ![X66: $i] : (ndr1_0 => ((c2_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))))) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c0_1(X68))) | (~c2_1(X68))))) | ![X69: $i] : (ndr1_0 => (((~c0_1(X69)) | (~c1_1(X69))) | (~c3_1(X69)))))) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70)))) | ![X71: $i] : (ndr1_0 => (((~c1_1(X71)) | (~c2_1(X71))) | (~c3_1(X71))))) | hskp16)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp30) | hskp9)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c1_1(X73)))) | hskp30) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | ![X75: $i] : (ndr1_0 => ((c3_1(X75) | (~c0_1(X75))) | (~c1_1(X75))))) | hskp25)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c3_1(X76)))) | hskp1) | hskp10)) & ((![X77: $i] : (ndr1_0 => ((c2_1(X77) | (~c0_1(X77))) | (~c3_1(X77)))) | hskp5) | hskp7)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp25) | hskp21)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp10) | hskp21)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c1_1(X80)))) | hskp27) | hskp13)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp30) | hskp17)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c1_1(X82))) | (~c2_1(X82)))) | hskp20) | hskp8)) & ((![X83: $i] : (ndr1_0 => (((~c0_1(X83)) | (~c2_1(X83))) | (~c3_1(X83)))) | hskp23) | hskp15)) & ((![X84: $i] : (ndr1_0 => (((~c1_1(X84)) | (~c2_1(X84))) | (~c3_1(X84)))) | hskp11) | hskp12)) & ((hskp26 | hskp5) | hskp21)) & ((hskp20 | hskp14) | hskp4)) & ((hskp12 | hskp13) | hskp21)))) <=> (~(~(((~hskp0) | (ndr1_0 & (~c0_1(a901)) & (~c1_1(a901)) & (~c3_1(a901)))) & ((~hskp1) | (ndr1_0 & c0_1(a902) & c2_1(a902) & (~c1_1(a902)))) & ((~hskp2) | (ndr1_0 & c0_1(a903) & (~c2_1(a903)) & (~c3_1(a903)))) & ((~hskp3) | (ndr1_0 & c0_1(a904) & (~c1_1(a904)) & (~c2_1(a904)))) & ((~hskp4) | (ndr1_0 & c3_1(a905) & (~c0_1(a905)) & (~c2_1(a905)))) & ((~hskp5) | (ndr1_0 & c0_1(a906) & c2_1(a906) & (~c3_1(a906)))) & ((~hskp6) | (ndr1_0 & c0_1(a907) & c1_1(a907) & (~c2_1(a907)))) & ((~hskp7) | (ndr1_0 & c1_1(a908) & (~c2_1(a908)) & (~c3_1(a908)))) & ((~hskp8) | (ndr1_0 & c1_1(a909) & (~c0_1(a909)) & (~c3_1(a909)))) & ((~hskp9) | (ndr1_0 & c2_1(a910) & (~c1_1(a910)) & (~c3_1(a910)))) & ((~hskp10) | (ndr1_0 & c1_1(a912) & c2_1(a912) & (~c0_1(a912)))) & ((~hskp11) | (ndr1_0 & c0_1(a914) & c3_1(a914) & (~c2_1(a914)))) & ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) & ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) & ((~hskp14) | (ndr1_0 & c3_1(a923) & (~c0_1(a923)) & (~c1_1(a923)))) & ((~hskp15) | (ndr1_0 & c2_1(a924) & (~c0_1(a924)) & (~c1_1(a924)))) & ((~hskp16) | (ndr1_0 & c1_1(a926) & c2_1(a926) & (~c3_1(a926)))) & ((~hskp17) | (ndr1_0 & (~c1_1(a936)) & (~c2_1(a936)) & (~c3_1(a936)))) & ((~hskp18) | (ndr1_0 & c1_1(a937) & (~c0_1(a937)) & (~c2_1(a937)))) & ((~hskp19) | (ndr1_0 & c2_1(a938) & c3_1(a938) & (~c0_1(a938)))) & ((~hskp20) | (ndr1_0 & c0_1(a939) & (~c1_1(a939)) & (~c3_1(a939)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) & ((~hskp22) | (ndr1_0 & c2_1(a949) & c3_1(a949) & (~c1_1(a949)))) & ((~hskp23) | (ndr1_0 & c1_1(a954) & c3_1(a954) & (~c0_1(a954)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a959)) & (~c1_1(a959)) & (~c2_1(a959)))) & ((~hskp25) | (ndr1_0 & c0_1(a960) & c3_1(a960) & (~c1_1(a960)))) & ((~hskp26) | (ndr1_0 & c0_1(a979) & c1_1(a979) & (~c3_1(a979)))) & ((~hskp27) | (ndr1_0 & c1_1(a900) & c2_1(a900) & c3_1(a900))) & ((~hskp28) | (ndr1_0 & c0_1(a916) & c1_1(a916) & c3_1(a916))) & ((~hskp29) | (ndr1_0 & c0_1(a933) & c2_1(a933) & c3_1(a933))) & ((~hskp30) | (ndr1_0 & c0_1(a942) & c1_1(a942) & c2_1(a942))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c0_1(V) | (~c3_1(V)) | (~ndr1_0)) | ![W: $i] : ((~c3_1(W)) | (~c1_1(W)) | (~c0_1(W)) | (~ndr1_0))) & (![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c0_1(Y) | c3_1(Y) | (~c2_1(Y)) | (~ndr1_0)) | ![Z: $i] : (c1_1(Z) | c3_1(Z) | (~c0_1(Z)) | (~ndr1_0))) & (hskp27 | ![X1: $i] : (c2_1(X1) | c1_1(X1) | c0_1(X1) | (~ndr1_0)) | ![X2: $i] : (c0_1(X2) | (~c3_1(X2)) | (~c1_1(X2)) | (~ndr1_0))) & (hskp0 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c2_1(X4) | (~c3_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c3_1(X6) | (~c0_1(X6)) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c3_1(X7) | (~c1_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X8: $i] : (c2_1(X8) | c1_1(X8) | c0_1(X8) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (![X12: $i] : (c1_1(X12) | c0_1(X12) | c3_1(X12) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c3_1(X14) | (~c0_1(X14)) | (~ndr1_0)) | ![X13: $i] : (c0_1(X13) | (~c1_1(X13)) | (~c2_1(X13)) | (~ndr1_0))) & (hskp3 | hskp4 | ![X15: $i] : (c1_1(X15) | c0_1(X15) | (~c2_1(X15)) | (~ndr1_0))) & (hskp5 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c3_1(X16)) | (~ndr1_0)) | ![X17: $i] : ((~c3_1(X17)) | (~c1_1(X17)) | (~c2_1(X17)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X18: $i] : (c1_1(X18) | c0_1(X18) | (~c3_1(X18)) | (~ndr1_0))) & (hskp8 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0))) & (hskp9 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | c3_1(X21) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | c1_1(X22) | (~c0_1(X22)) | (~ndr1_0))) & (hskp10 | hskp27 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | c3_1(X23) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c0_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp5 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c0_1(X26) | (~c3_1(X26)) | (~c2_1(X26)) | (~ndr1_0))) & (hskp12 | hskp28 | ![X27: $i] : (c0_1(X27) | c3_1(X27) | (~c2_1(X27)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (![X29: $i] : (c0_1(X29) | (~c1_1(X29)) | (~c2_1(X29)) | (~ndr1_0)) | ![X30: $i] : (c1_1(X30) | c3_1(X30) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp7 | hskp14 | ![X33: $i] : (c0_1(X33) | (~c1_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (hskp15 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c2_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c3_1(X35)) | (~c1_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) & (hskp7 | hskp13 | ![X37: $i] : (c0_1(X37) | (~c3_1(X37)) | (~c2_1(X37)) | (~ndr1_0))) & (hskp11 | hskp27 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (hskp9 | hskp27 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | c3_1(X39) | (~ndr1_0))) & (hskp29 | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c0_1(X40)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | (~c3_1(X41)) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : ((~c3_1(X43)) | (~c1_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (hskp12 | hskp17 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp18 | hskp19 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp18 | hskp20 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0))) & (hskp9 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c0_1(X48)) | (~c2_1(X48)) | (~ndr1_0))) & (hskp7 | hskp30 | ![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0))) & (hskp27 | ![X50: $i] : (c1_1(X50) | (~c0_1(X50)) | (~c2_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp0 | ![X52: $i] : (c1_1(X52) | (~c0_1(X52)) | (~c2_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c2_1(X53) | (~c1_1(X53)) | (~c0_1(X53)) | (~ndr1_0))) & (hskp21 | ![X54: $i] : (c1_1(X54) | (~c3_1(X54)) | (~c0_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | c3_1(X55) | (~c1_1(X55)) | (~ndr1_0))) & (hskp1 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0)) | ![X57: $i] : ((~c3_1(X57)) | (~c1_1(X57)) | (~c0_1(X57)) | (~ndr1_0))) & (hskp28 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c0_1(X58)) | (~ndr1_0))) & (hskp22 | ![X59: $i] : (c2_1(X59) | c3_1(X59) | (~c0_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c2_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp0 | ![X61: $i] : (c2_1(X61) | c3_1(X61) | (~c0_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c3_1(X62) | (~c1_1(X62)) | (~c0_1(X62)) | (~ndr1_0))) & (hskp6 | hskp14 | ![X63: $i] : (c2_1(X63) | c3_1(X63) | (~c0_1(X63)) | (~ndr1_0))) & (hskp1 | hskp23 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c1_1(X65)) | (~ndr1_0)) | ![X66: $i] : (c2_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X69: $i] : ((~c3_1(X69)) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (hskp16 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (hskp9 | hskp30 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp24 | hskp30 | ![X73: $i] : (c2_1(X73) | (~c1_1(X73)) | (~c0_1(X73)) | (~ndr1_0))) & (hskp25 | ![X74: $i] : (c2_1(X74) | (~c3_1(X74)) | (~c0_1(X74)) | (~ndr1_0)) | ![X75: $i] : (c3_1(X75) | (~c1_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X76: $i] : (c2_1(X76) | (~c3_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp5 | hskp7 | ![X77: $i] : (c2_1(X77) | (~c3_1(X77)) | (~c0_1(X77)) | (~ndr1_0))) & (hskp21 | hskp25 | ![X78: $i] : (c2_1(X78) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp10 | hskp21 | ![X79: $i] : (c2_1(X79) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0))) & (hskp13 | hskp27 | ![X80: $i] : (c3_1(X80) | (~c1_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp17 | hskp30 | ![X81: $i] : (c3_1(X81) | (~c0_1(X81)) | (~c2_1(X81)) | (~ndr1_0))) & (hskp8 | hskp20 | ![X82: $i] : (c3_1(X82) | (~c1_1(X82)) | (~c2_1(X82)) | (~ndr1_0))) & (hskp15 | hskp23 | ![X83: $i] : ((~c3_1(X83)) | (~c0_1(X83)) | (~c2_1(X83)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X84: $i] : ((~c3_1(X84)) | (~c1_1(X84)) | (~c2_1(X84)) | (~ndr1_0))) & (hskp5 | hskp21 | hskp26) & (hskp4 | hskp14 | hskp20) & (hskp12 | hskp13 | hskp21))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[16])).
% 0.21/0.51 tff(18,plain,
% 0.21/0.51 ((~(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c0_1(a901))) & (~c1_1(a901))) & (~c3_1(a901)))) & ((~hskp1) | (((ndr1_0 & c0_1(a902)) & c2_1(a902)) & (~c1_1(a902))))) & ((~hskp2) | (((ndr1_0 & c0_1(a903)) & (~c2_1(a903))) & (~c3_1(a903))))) & ((~hskp3) | (((ndr1_0 & c0_1(a904)) & (~c1_1(a904))) & (~c2_1(a904))))) & ((~hskp4) | (((ndr1_0 & c3_1(a905)) & (~c0_1(a905))) & (~c2_1(a905))))) & ((~hskp5) | (((ndr1_0 & c0_1(a906)) & c2_1(a906)) & (~c3_1(a906))))) & ((~hskp6) | (((ndr1_0 & c0_1(a907)) & c1_1(a907)) & (~c2_1(a907))))) & ((~hskp7) | (((ndr1_0 & c1_1(a908)) & (~c2_1(a908))) & (~c3_1(a908))))) & ((~hskp8) | (((ndr1_0 & c1_1(a909)) & (~c0_1(a909))) & (~c3_1(a909))))) & ((~hskp9) | (((ndr1_0 & c2_1(a910)) & (~c1_1(a910))) & (~c3_1(a910))))) & ((~hskp10) | (((ndr1_0 & c1_1(a912)) & c2_1(a912)) & (~c0_1(a912))))) & ((~hskp11) | (((ndr1_0 & c0_1(a914)) & c3_1(a914)) & (~c2_1(a914))))) & ((~hskp12) | (((ndr1_0 & c1_1(a917)) & c3_1(a917)) & (~c2_1(a917))))) & ((~hskp13) | (((ndr1_0 & c2_1(a921)) & (~c0_1(a921))) & (~c3_1(a921))))) & ((~hskp14) | (((ndr1_0 & c3_1(a923)) & (~c0_1(a923))) & (~c1_1(a923))))) & ((~hskp15) | (((ndr1_0 & c2_1(a924)) & (~c0_1(a924))) & (~c1_1(a924))))) & ((~hskp16) | (((ndr1_0 & c1_1(a926)) & c2_1(a926)) & (~c3_1(a926))))) & ((~hskp17) | (((ndr1_0 & (~c1_1(a936))) & (~c2_1(a936))) & (~c3_1(a936))))) & ((~hskp18) | (((ndr1_0 & c1_1(a937)) & (~c0_1(a937))) & (~c2_1(a937))))) & ((~hskp19) | (((ndr1_0 & c2_1(a938)) & c3_1(a938)) & (~c0_1(a938))))) & ((~hskp20) | (((ndr1_0 & c0_1(a939)) & (~c1_1(a939))) & (~c3_1(a939))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a946))) & (~c2_1(a946))) & (~c3_1(a946))))) & ((~hskp22) | (((ndr1_0 & c2_1(a949)) & c3_1(a949)) & (~c1_1(a949))))) & ((~hskp23) | (((ndr1_0 & c1_1(a954)) & c3_1(a954)) & (~c0_1(a954))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a959))) & (~c1_1(a959))) & (~c2_1(a959))))) & ((~hskp25) | (((ndr1_0 & c0_1(a960)) & c3_1(a960)) & (~c1_1(a960))))) & ((~hskp26) | (((ndr1_0 & c0_1(a979)) & c1_1(a979)) & (~c3_1(a979))))) & ((~hskp27) | (((ndr1_0 & c1_1(a900)) & c2_1(a900)) & c3_1(a900)))) & ((~hskp28) | (((ndr1_0 & c0_1(a916)) & c1_1(a916)) & c3_1(a916)))) & ((~hskp29) | (((ndr1_0 & c0_1(a933)) & c2_1(a933)) & c3_1(a933)))) & ((~hskp30) | (((ndr1_0 & c0_1(a942)) & c1_1(a942)) & c2_1(a942)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c2_1(V)) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => (((~c0_1(W)) | (~c1_1(W))) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c3_1(Y)) | (~c2_1(Y))))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c3_1(Z)) | (~c0_1(Z)))))) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c2_1(X1))) | ![X2: $i] : (ndr1_0 => ((c0_1(X2) | (~c1_1(X2))) | (~c3_1(X2))))) | hskp27)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c2_1(X4) | (~c0_1(X4))) | (~c3_1(X4))))) | hskp0)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c3_1(X6) | (~c0_1(X6))) | (~c2_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c3_1(X7) | (~c1_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c2_1(X8))) | hskp1) | hskp2)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | c2_1(X10)) | c3_1(X10)))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | c3_1(X12))) | ![X13: $i] : (ndr1_0 => ((c0_1(X13) | (~c1_1(X13))) | (~c2_1(X13))))) | ![X14: $i] : (ndr1_0 => ((c2_1(X14) | c3_1(X14)) | (~c0_1(X14)))))) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c1_1(X15)) | (~c2_1(X15)))) | hskp3) | hskp4)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c3_1(X16)))) | ![X17: $i] : (ndr1_0 => (((~c1_1(X17)) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp5)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c1_1(X18)) | (~c3_1(X18)))) | hskp6) | hskp7)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | c3_1(X19))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c3_1(X20))))) | hskp8)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | c3_1(X21))) | ![X22: $i] : (ndr1_0 => ((c1_1(X22) | c2_1(X22)) | (~c0_1(X22))))) | hskp9)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | c3_1(X23))) | hskp27) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c3_1(X24)) | (~c1_1(X24)))) | hskp6) | hskp11)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c0_1(X26) | (~c2_1(X26))) | (~c3_1(X26))))) | hskp5)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c3_1(X27)) | (~c2_1(X27)))) | hskp28) | hskp12)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp2) | hskp0)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | ![X30: $i] : (ndr1_0 => ((c1_1(X30) | c3_1(X30)) | (~c2_1(X30))))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31)))))) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp3) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c2_1(X33)))) | hskp7) | hskp14)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c2_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp15)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | hskp28) | hskp16)) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c2_1(X37))) | (~c3_1(X37)))) | hskp7) | hskp13)) & ((![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp11) | hskp27)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | c3_1(X39))) | hskp27) | hskp9)) & ((![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c0_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | (~c0_1(X41))) | (~c3_1(X41))))) | hskp29)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => (((~c0_1(X43)) | (~c1_1(X43))) | (~c3_1(X43))))) | hskp15)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | hskp12) | hskp17)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp18) | hskp19)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | hskp20) | hskp18)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c0_1(X47)))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c2_1(X48))) | (~c3_1(X48))))) | hskp9)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | hskp30) | hskp7)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c1_1(X51))))) | hskp27)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | (~c0_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c0_1(X53))) | (~c1_1(X53))))) | hskp0)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | (~c0_1(X54))) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | c3_1(X55)) | (~c1_1(X55))))) | hskp21)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c3_1(X57))))) | hskp1)) & (![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c3_1(X58)))) | hskp28)) & ((![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c2_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp22)) & ((![X61: $i] : (ndr1_0 => ((c2_1(X61) | c3_1(X61)) | (~c0_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp0)) & ((![X63: $i] : (ndr1_0 => ((c2_1(X63) | c3_1(X63)) | (~c0_1(X63)))) | hskp6) | hskp14)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp1) | hskp23)) & (![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c1_1(X65)))) | ![X66: $i] : (ndr1_0 => ((c2_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))))) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c0_1(X68))) | (~c2_1(X68))))) | ![X69: $i] : (ndr1_0 => (((~c0_1(X69)) | (~c1_1(X69))) | (~c3_1(X69)))))) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70)))) | ![X71: $i] : (ndr1_0 => (((~c1_1(X71)) | (~c2_1(X71))) | (~c3_1(X71))))) | hskp16)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp30) | hskp9)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c1_1(X73)))) | hskp30) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | ![X75: $i] : (ndr1_0 => ((c3_1(X75) | (~c0_1(X75))) | (~c1_1(X75))))) | hskp25)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c3_1(X76)))) | hskp1) | hskp10)) & ((![X77: $i] : (ndr1_0 => ((c2_1(X77) | (~c0_1(X77))) | (~c3_1(X77)))) | hskp5) | hskp7)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp25) | hskp21)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp10) | hskp21)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c1_1(X80)))) | hskp27) | hskp13)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp30) | hskp17)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c1_1(X82))) | (~c2_1(X82)))) | hskp20) | hskp8)) & ((![X83: $i] : (ndr1_0 => (((~c0_1(X83)) | (~c2_1(X83))) | (~c3_1(X83)))) | hskp23) | hskp15)) & ((![X84: $i] : (ndr1_0 => (((~c1_1(X84)) | (~c2_1(X84))) | (~c3_1(X84)))) | hskp11) | hskp12)) & ((hskp26 | hskp5) | hskp21)) & ((hskp20 | hskp14) | hskp4)) & ((hskp12 | hskp13) | hskp21)))) <=> (((~hskp0) | (ndr1_0 & (~c0_1(a901)) & (~c1_1(a901)) & (~c3_1(a901)))) & ((~hskp1) | (ndr1_0 & c0_1(a902) & c2_1(a902) & (~c1_1(a902)))) & ((~hskp2) | (ndr1_0 & c0_1(a903) & (~c2_1(a903)) & (~c3_1(a903)))) & ((~hskp3) | (ndr1_0 & c0_1(a904) & (~c1_1(a904)) & (~c2_1(a904)))) & ((~hskp4) | (ndr1_0 & c3_1(a905) & (~c0_1(a905)) & (~c2_1(a905)))) & ((~hskp5) | (ndr1_0 & c0_1(a906) & c2_1(a906) & (~c3_1(a906)))) & ((~hskp6) | (ndr1_0 & c0_1(a907) & c1_1(a907) & (~c2_1(a907)))) & ((~hskp7) | (ndr1_0 & c1_1(a908) & (~c2_1(a908)) & (~c3_1(a908)))) & ((~hskp8) | (ndr1_0 & c1_1(a909) & (~c0_1(a909)) & (~c3_1(a909)))) & ((~hskp9) | (ndr1_0 & c2_1(a910) & (~c1_1(a910)) & (~c3_1(a910)))) & ((~hskp10) | (ndr1_0 & c1_1(a912) & c2_1(a912) & (~c0_1(a912)))) & ((~hskp11) | (ndr1_0 & c0_1(a914) & c3_1(a914) & (~c2_1(a914)))) & ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) & ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) & ((~hskp14) | (ndr1_0 & c3_1(a923) & (~c0_1(a923)) & (~c1_1(a923)))) & ((~hskp15) | (ndr1_0 & c2_1(a924) & (~c0_1(a924)) & (~c1_1(a924)))) & ((~hskp16) | (ndr1_0 & c1_1(a926) & c2_1(a926) & (~c3_1(a926)))) & ((~hskp17) | (ndr1_0 & (~c1_1(a936)) & (~c2_1(a936)) & (~c3_1(a936)))) & ((~hskp18) | (ndr1_0 & c1_1(a937) & (~c0_1(a937)) & (~c2_1(a937)))) & ((~hskp19) | (ndr1_0 & c2_1(a938) & c3_1(a938) & (~c0_1(a938)))) & ((~hskp20) | (ndr1_0 & c0_1(a939) & (~c1_1(a939)) & (~c3_1(a939)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) & ((~hskp22) | (ndr1_0 & c2_1(a949) & c3_1(a949) & (~c1_1(a949)))) & ((~hskp23) | (ndr1_0 & c1_1(a954) & c3_1(a954) & (~c0_1(a954)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a959)) & (~c1_1(a959)) & (~c2_1(a959)))) & ((~hskp25) | (ndr1_0 & c0_1(a960) & c3_1(a960) & (~c1_1(a960)))) & ((~hskp26) | (ndr1_0 & c0_1(a979) & c1_1(a979) & (~c3_1(a979)))) & ((~hskp27) | (ndr1_0 & c1_1(a900) & c2_1(a900) & c3_1(a900))) & ((~hskp28) | (ndr1_0 & c0_1(a916) & c1_1(a916) & c3_1(a916))) & ((~hskp29) | (ndr1_0 & c0_1(a933) & c2_1(a933) & c3_1(a933))) & ((~hskp30) | (ndr1_0 & c0_1(a942) & c1_1(a942) & c2_1(a942))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c0_1(V) | (~c3_1(V)) | (~ndr1_0)) | ![W: $i] : ((~c3_1(W)) | (~c1_1(W)) | (~c0_1(W)) | (~ndr1_0))) & (![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c0_1(Y) | c3_1(Y) | (~c2_1(Y)) | (~ndr1_0)) | ![Z: $i] : (c1_1(Z) | c3_1(Z) | (~c0_1(Z)) | (~ndr1_0))) & (hskp27 | ![X1: $i] : (c2_1(X1) | c1_1(X1) | c0_1(X1) | (~ndr1_0)) | ![X2: $i] : (c0_1(X2) | (~c3_1(X2)) | (~c1_1(X2)) | (~ndr1_0))) & (hskp0 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c2_1(X4) | (~c3_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c3_1(X6) | (~c0_1(X6)) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c3_1(X7) | (~c1_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X8: $i] : (c2_1(X8) | c1_1(X8) | c0_1(X8) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (![X12: $i] : (c1_1(X12) | c0_1(X12) | c3_1(X12) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c3_1(X14) | (~c0_1(X14)) | (~ndr1_0)) | ![X13: $i] : (c0_1(X13) | (~c1_1(X13)) | (~c2_1(X13)) | (~ndr1_0))) & (hskp3 | hskp4 | ![X15: $i] : (c1_1(X15) | c0_1(X15) | (~c2_1(X15)) | (~ndr1_0))) & (hskp5 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c3_1(X16)) | (~ndr1_0)) | ![X17: $i] : ((~c3_1(X17)) | (~c1_1(X17)) | (~c2_1(X17)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X18: $i] : (c1_1(X18) | c0_1(X18) | (~c3_1(X18)) | (~ndr1_0))) & (hskp8 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0))) & (hskp9 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | c3_1(X21) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | c1_1(X22) | (~c0_1(X22)) | (~ndr1_0))) & (hskp10 | hskp27 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | c3_1(X23) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c0_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp5 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c0_1(X26) | (~c3_1(X26)) | (~c2_1(X26)) | (~ndr1_0))) & (hskp12 | hskp28 | ![X27: $i] : (c0_1(X27) | c3_1(X27) | (~c2_1(X27)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (![X29: $i] : (c0_1(X29) | (~c1_1(X29)) | (~c2_1(X29)) | (~ndr1_0)) | ![X30: $i] : (c1_1(X30) | c3_1(X30) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp7 | hskp14 | ![X33: $i] : (c0_1(X33) | (~c1_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (hskp15 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c2_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c3_1(X35)) | (~c1_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) & (hskp7 | hskp13 | ![X37: $i] : (c0_1(X37) | (~c3_1(X37)) | (~c2_1(X37)) | (~ndr1_0))) & (hskp11 | hskp27 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (hskp9 | hskp27 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | c3_1(X39) | (~ndr1_0))) & (hskp29 | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c0_1(X40)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | (~c3_1(X41)) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : ((~c3_1(X43)) | (~c1_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (hskp12 | hskp17 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp18 | hskp19 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp18 | hskp20 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0))) & (hskp9 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c0_1(X48)) | (~c2_1(X48)) | (~ndr1_0))) & (hskp7 | hskp30 | ![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0))) & (hskp27 | ![X50: $i] : (c1_1(X50) | (~c0_1(X50)) | (~c2_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp0 | ![X52: $i] : (c1_1(X52) | (~c0_1(X52)) | (~c2_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c2_1(X53) | (~c1_1(X53)) | (~c0_1(X53)) | (~ndr1_0))) & (hskp21 | ![X54: $i] : (c1_1(X54) | (~c3_1(X54)) | (~c0_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | c3_1(X55) | (~c1_1(X55)) | (~ndr1_0))) & (hskp1 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0)) | ![X57: $i] : ((~c3_1(X57)) | (~c1_1(X57)) | (~c0_1(X57)) | (~ndr1_0))) & (hskp28 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c0_1(X58)) | (~ndr1_0))) & (hskp22 | ![X59: $i] : (c2_1(X59) | c3_1(X59) | (~c0_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c2_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp0 | ![X61: $i] : (c2_1(X61) | c3_1(X61) | (~c0_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c3_1(X62) | (~c1_1(X62)) | (~c0_1(X62)) | (~ndr1_0))) & (hskp6 | hskp14 | ![X63: $i] : (c2_1(X63) | c3_1(X63) | (~c0_1(X63)) | (~ndr1_0))) & (hskp1 | hskp23 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c1_1(X65)) | (~ndr1_0)) | ![X66: $i] : (c2_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X69: $i] : ((~c3_1(X69)) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (hskp16 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (hskp9 | hskp30 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp24 | hskp30 | ![X73: $i] : (c2_1(X73) | (~c1_1(X73)) | (~c0_1(X73)) | (~ndr1_0))) & (hskp25 | ![X74: $i] : (c2_1(X74) | (~c3_1(X74)) | (~c0_1(X74)) | (~ndr1_0)) | ![X75: $i] : (c3_1(X75) | (~c1_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X76: $i] : (c2_1(X76) | (~c3_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp5 | hskp7 | ![X77: $i] : (c2_1(X77) | (~c3_1(X77)) | (~c0_1(X77)) | (~ndr1_0))) & (hskp21 | hskp25 | ![X78: $i] : (c2_1(X78) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp10 | hskp21 | ![X79: $i] : (c2_1(X79) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0))) & (hskp13 | hskp27 | ![X80: $i] : (c3_1(X80) | (~c1_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp17 | hskp30 | ![X81: $i] : (c3_1(X81) | (~c0_1(X81)) | (~c2_1(X81)) | (~ndr1_0))) & (hskp8 | hskp20 | ![X82: $i] : (c3_1(X82) | (~c1_1(X82)) | (~c2_1(X82)) | (~ndr1_0))) & (hskp15 | hskp23 | ![X83: $i] : ((~c3_1(X83)) | (~c0_1(X83)) | (~c2_1(X83)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X84: $i] : ((~c3_1(X84)) | (~c1_1(X84)) | (~c2_1(X84)) | (~ndr1_0))) & (hskp5 | hskp21 | hskp26) & (hskp4 | hskp14 | hskp20) & (hskp12 | hskp13 | hskp21))),
% 0.42/0.52 inference(transitivity,[status(thm)],[17, 15])).
% 0.42/0.52 tff(19,axiom,(~(~((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c0_1(a901))) & (~c1_1(a901))) & (~c3_1(a901)))) & ((~hskp1) | (((ndr1_0 & c0_1(a902)) & c2_1(a902)) & (~c1_1(a902))))) & ((~hskp2) | (((ndr1_0 & c0_1(a903)) & (~c2_1(a903))) & (~c3_1(a903))))) & ((~hskp3) | (((ndr1_0 & c0_1(a904)) & (~c1_1(a904))) & (~c2_1(a904))))) & ((~hskp4) | (((ndr1_0 & c3_1(a905)) & (~c0_1(a905))) & (~c2_1(a905))))) & ((~hskp5) | (((ndr1_0 & c0_1(a906)) & c2_1(a906)) & (~c3_1(a906))))) & ((~hskp6) | (((ndr1_0 & c0_1(a907)) & c1_1(a907)) & (~c2_1(a907))))) & ((~hskp7) | (((ndr1_0 & c1_1(a908)) & (~c2_1(a908))) & (~c3_1(a908))))) & ((~hskp8) | (((ndr1_0 & c1_1(a909)) & (~c0_1(a909))) & (~c3_1(a909))))) & ((~hskp9) | (((ndr1_0 & c2_1(a910)) & (~c1_1(a910))) & (~c3_1(a910))))) & ((~hskp10) | (((ndr1_0 & c1_1(a912)) & c2_1(a912)) & (~c0_1(a912))))) & ((~hskp11) | (((ndr1_0 & c0_1(a914)) & c3_1(a914)) & (~c2_1(a914))))) & ((~hskp12) | (((ndr1_0 & c1_1(a917)) & c3_1(a917)) & (~c2_1(a917))))) & ((~hskp13) | (((ndr1_0 & c2_1(a921)) & (~c0_1(a921))) & (~c3_1(a921))))) & ((~hskp14) | (((ndr1_0 & c3_1(a923)) & (~c0_1(a923))) & (~c1_1(a923))))) & ((~hskp15) | (((ndr1_0 & c2_1(a924)) & (~c0_1(a924))) & (~c1_1(a924))))) & ((~hskp16) | (((ndr1_0 & c1_1(a926)) & c2_1(a926)) & (~c3_1(a926))))) & ((~hskp17) | (((ndr1_0 & (~c1_1(a936))) & (~c2_1(a936))) & (~c3_1(a936))))) & ((~hskp18) | (((ndr1_0 & c1_1(a937)) & (~c0_1(a937))) & (~c2_1(a937))))) & ((~hskp19) | (((ndr1_0 & c2_1(a938)) & c3_1(a938)) & (~c0_1(a938))))) & ((~hskp20) | (((ndr1_0 & c0_1(a939)) & (~c1_1(a939))) & (~c3_1(a939))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a946))) & (~c2_1(a946))) & (~c3_1(a946))))) & ((~hskp22) | (((ndr1_0 & c2_1(a949)) & c3_1(a949)) & (~c1_1(a949))))) & ((~hskp23) | (((ndr1_0 & c1_1(a954)) & c3_1(a954)) & (~c0_1(a954))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a959))) & (~c1_1(a959))) & (~c2_1(a959))))) & ((~hskp25) | (((ndr1_0 & c0_1(a960)) & c3_1(a960)) & (~c1_1(a960))))) & ((~hskp26) | (((ndr1_0 & c0_1(a979)) & c1_1(a979)) & (~c3_1(a979))))) & ((~hskp27) | (((ndr1_0 & c1_1(a900)) & c2_1(a900)) & c3_1(a900)))) & ((~hskp28) | (((ndr1_0 & c0_1(a916)) & c1_1(a916)) & c3_1(a916)))) & ((~hskp29) | (((ndr1_0 & c0_1(a933)) & c2_1(a933)) & c3_1(a933)))) & ((~hskp30) | (((ndr1_0 & c0_1(a942)) & c1_1(a942)) & c2_1(a942)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c0_1(V) | c2_1(V)) | (~c3_1(V))))) | ![W: $i] : (ndr1_0 => (((~c0_1(W)) | (~c1_1(W))) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c0_1(Y) | c3_1(Y)) | (~c2_1(Y))))) | ![Z: $i] : (ndr1_0 => ((c1_1(Z) | c3_1(Z)) | (~c0_1(Z)))))) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c2_1(X1))) | ![X2: $i] : (ndr1_0 => ((c0_1(X2) | (~c1_1(X2))) | (~c3_1(X2))))) | hskp27)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | c2_1(X3))) | ![X4: $i] : (ndr1_0 => ((c2_1(X4) | (~c0_1(X4))) | (~c3_1(X4))))) | hskp0)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c2_1(X5))) | ![X6: $i] : (ndr1_0 => ((c3_1(X6) | (~c0_1(X6))) | (~c2_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c3_1(X7) | (~c1_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c2_1(X8))) | hskp1) | hskp2)) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | c3_1(X9))) | ![X10: $i] : (ndr1_0 => ((c0_1(X10) | c2_1(X10)) | c3_1(X10)))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c0_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | c3_1(X12))) | ![X13: $i] : (ndr1_0 => ((c0_1(X13) | (~c1_1(X13))) | (~c2_1(X13))))) | ![X14: $i] : (ndr1_0 => ((c2_1(X14) | c3_1(X14)) | (~c0_1(X14)))))) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c1_1(X15)) | (~c2_1(X15)))) | hskp3) | hskp4)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c3_1(X16)))) | ![X17: $i] : (ndr1_0 => (((~c1_1(X17)) | (~c2_1(X17))) | (~c3_1(X17))))) | hskp5)) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c1_1(X18)) | (~c3_1(X18)))) | hskp6) | hskp7)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | c3_1(X19))) | ![X20: $i] : (ndr1_0 => ((c0_1(X20) | (~c1_1(X20))) | (~c3_1(X20))))) | hskp8)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | c3_1(X21))) | ![X22: $i] : (ndr1_0 => ((c1_1(X22) | c2_1(X22)) | (~c0_1(X22))))) | hskp9)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | c3_1(X23))) | hskp27) | hskp10)) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c3_1(X24)) | (~c1_1(X24)))) | hskp6) | hskp11)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c0_1(X26) | (~c2_1(X26))) | (~c3_1(X26))))) | hskp5)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c3_1(X27)) | (~c2_1(X27)))) | hskp28) | hskp12)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp2) | hskp0)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | ![X30: $i] : (ndr1_0 => ((c1_1(X30) | c3_1(X30)) | (~c2_1(X30))))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31)))))) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c2_1(X32)))) | hskp3) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c1_1(X33))) | (~c2_1(X33)))) | hskp7) | hskp14)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c2_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => (((~c1_1(X35)) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp15)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | hskp28) | hskp16)) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c2_1(X37))) | (~c3_1(X37)))) | hskp7) | hskp13)) & ((![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | c3_1(X38))) | hskp11) | hskp27)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | c3_1(X39))) | hskp27) | hskp9)) & ((![X40: $i] : (ndr1_0 => ((c1_1(X40) | c2_1(X40)) | (~c0_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | (~c0_1(X41))) | (~c3_1(X41))))) | hskp29)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c0_1(X42)))) | ![X43: $i] : (ndr1_0 => (((~c0_1(X43)) | (~c1_1(X43))) | (~c3_1(X43))))) | hskp15)) & ((![X44: $i] : (ndr1_0 => ((c1_1(X44) | c2_1(X44)) | (~c0_1(X44)))) | hskp12) | hskp17)) & ((![X45: $i] : (ndr1_0 => ((c1_1(X45) | c2_1(X45)) | (~c0_1(X45)))) | hskp18) | hskp19)) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c2_1(X46)) | (~c3_1(X46)))) | hskp20) | hskp18)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c0_1(X47)))) | ![X48: $i] : (ndr1_0 => (((~c0_1(X48)) | (~c2_1(X48))) | (~c3_1(X48))))) | hskp9)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c3_1(X49)) | (~c0_1(X49)))) | hskp30) | hskp7)) & ((![X50: $i] : (ndr1_0 => ((c1_1(X50) | (~c0_1(X50))) | (~c2_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c1_1(X51))))) | hskp27)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | (~c0_1(X52))) | (~c2_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c0_1(X53))) | (~c1_1(X53))))) | hskp0)) & ((![X54: $i] : (ndr1_0 => ((c1_1(X54) | (~c0_1(X54))) | (~c3_1(X54)))) | ![X55: $i] : (ndr1_0 => ((c2_1(X55) | c3_1(X55)) | (~c1_1(X55))))) | hskp21)) & ((![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56)))) | ![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c3_1(X57))))) | hskp1)) & (![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c0_1(X58))) | (~c3_1(X58)))) | hskp28)) & ((![X59: $i] : (ndr1_0 => ((c2_1(X59) | c3_1(X59)) | (~c0_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c2_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp22)) & ((![X61: $i] : (ndr1_0 => ((c2_1(X61) | c3_1(X61)) | (~c0_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp0)) & ((![X63: $i] : (ndr1_0 => ((c2_1(X63) | c3_1(X63)) | (~c0_1(X63)))) | hskp6) | hskp14)) & ((![X64: $i] : (ndr1_0 => ((c2_1(X64) | c3_1(X64)) | (~c0_1(X64)))) | hskp1) | hskp23)) & (![X65: $i] : (ndr1_0 => ((c2_1(X65) | c3_1(X65)) | (~c1_1(X65)))) | ![X66: $i] : (ndr1_0 => ((c2_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))))) & ((![X67: $i] : (ndr1_0 => ((c2_1(X67) | c3_1(X67)) | (~c1_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c3_1(X68) | (~c0_1(X68))) | (~c2_1(X68))))) | ![X69: $i] : (ndr1_0 => (((~c0_1(X69)) | (~c1_1(X69))) | (~c3_1(X69)))))) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c1_1(X70)))) | ![X71: $i] : (ndr1_0 => (((~c1_1(X71)) | (~c2_1(X71))) | (~c3_1(X71))))) | hskp16)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp30) | hskp9)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c1_1(X73)))) | hskp30) | hskp24)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | ![X75: $i] : (ndr1_0 => ((c3_1(X75) | (~c0_1(X75))) | (~c1_1(X75))))) | hskp25)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c3_1(X76)))) | hskp1) | hskp10)) & ((![X77: $i] : (ndr1_0 => ((c2_1(X77) | (~c0_1(X77))) | (~c3_1(X77)))) | hskp5) | hskp7)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp25) | hskp21)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp10) | hskp21)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c1_1(X80)))) | hskp27) | hskp13)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp30) | hskp17)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c1_1(X82))) | (~c2_1(X82)))) | hskp20) | hskp8)) & ((![X83: $i] : (ndr1_0 => (((~c0_1(X83)) | (~c2_1(X83))) | (~c3_1(X83)))) | hskp23) | hskp15)) & ((![X84: $i] : (ndr1_0 => (((~c1_1(X84)) | (~c2_1(X84))) | (~c3_1(X84)))) | hskp11) | hskp12)) & ((hskp26 | hskp5) | hskp21)) & ((hskp20 | hskp14) | hskp4)) & ((hskp12 | hskp13) | hskp21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.42/0.52 tff(20,plain,
% 0.42/0.52 (((~hskp0) | (ndr1_0 & (~c0_1(a901)) & (~c1_1(a901)) & (~c3_1(a901)))) & ((~hskp1) | (ndr1_0 & c0_1(a902) & c2_1(a902) & (~c1_1(a902)))) & ((~hskp2) | (ndr1_0 & c0_1(a903) & (~c2_1(a903)) & (~c3_1(a903)))) & ((~hskp3) | (ndr1_0 & c0_1(a904) & (~c1_1(a904)) & (~c2_1(a904)))) & ((~hskp4) | (ndr1_0 & c3_1(a905) & (~c0_1(a905)) & (~c2_1(a905)))) & ((~hskp5) | (ndr1_0 & c0_1(a906) & c2_1(a906) & (~c3_1(a906)))) & ((~hskp6) | (ndr1_0 & c0_1(a907) & c1_1(a907) & (~c2_1(a907)))) & ((~hskp7) | (ndr1_0 & c1_1(a908) & (~c2_1(a908)) & (~c3_1(a908)))) & ((~hskp8) | (ndr1_0 & c1_1(a909) & (~c0_1(a909)) & (~c3_1(a909)))) & ((~hskp9) | (ndr1_0 & c2_1(a910) & (~c1_1(a910)) & (~c3_1(a910)))) & ((~hskp10) | (ndr1_0 & c1_1(a912) & c2_1(a912) & (~c0_1(a912)))) & ((~hskp11) | (ndr1_0 & c0_1(a914) & c3_1(a914) & (~c2_1(a914)))) & ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))) & ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) & ((~hskp14) | (ndr1_0 & c3_1(a923) & (~c0_1(a923)) & (~c1_1(a923)))) & ((~hskp15) | (ndr1_0 & c2_1(a924) & (~c0_1(a924)) & (~c1_1(a924)))) & ((~hskp16) | (ndr1_0 & c1_1(a926) & c2_1(a926) & (~c3_1(a926)))) & ((~hskp17) | (ndr1_0 & (~c1_1(a936)) & (~c2_1(a936)) & (~c3_1(a936)))) & ((~hskp18) | (ndr1_0 & c1_1(a937) & (~c0_1(a937)) & (~c2_1(a937)))) & ((~hskp19) | (ndr1_0 & c2_1(a938) & c3_1(a938) & (~c0_1(a938)))) & ((~hskp20) | (ndr1_0 & c0_1(a939) & (~c1_1(a939)) & (~c3_1(a939)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) & ((~hskp22) | (ndr1_0 & c2_1(a949) & c3_1(a949) & (~c1_1(a949)))) & ((~hskp23) | (ndr1_0 & c1_1(a954) & c3_1(a954) & (~c0_1(a954)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a959)) & (~c1_1(a959)) & (~c2_1(a959)))) & ((~hskp25) | (ndr1_0 & c0_1(a960) & c3_1(a960) & (~c1_1(a960)))) & ((~hskp26) | (ndr1_0 & c0_1(a979) & c1_1(a979) & (~c3_1(a979)))) & ((~hskp27) | (ndr1_0 & c1_1(a900) & c2_1(a900) & c3_1(a900))) & ((~hskp28) | (ndr1_0 & c0_1(a916) & c1_1(a916) & c3_1(a916))) & ((~hskp29) | (ndr1_0 & c0_1(a933) & c2_1(a933) & c3_1(a933))) & ((~hskp30) | (ndr1_0 & c0_1(a942) & c1_1(a942) & c2_1(a942))) & (![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c0_1(V) | (~c3_1(V)) | (~ndr1_0)) | ![W: $i] : ((~c3_1(W)) | (~c1_1(W)) | (~c0_1(W)) | (~ndr1_0))) & (![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c0_1(Y) | c3_1(Y) | (~c2_1(Y)) | (~ndr1_0)) | ![Z: $i] : (c1_1(Z) | c3_1(Z) | (~c0_1(Z)) | (~ndr1_0))) & (hskp27 | ![X1: $i] : (c2_1(X1) | c1_1(X1) | c0_1(X1) | (~ndr1_0)) | ![X2: $i] : (c0_1(X2) | (~c3_1(X2)) | (~c1_1(X2)) | (~ndr1_0))) & (hskp0 | ![X3: $i] : (c2_1(X3) | c1_1(X3) | c0_1(X3) | (~ndr1_0)) | ![X4: $i] : (c2_1(X4) | (~c3_1(X4)) | (~c0_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c2_1(X5) | c1_1(X5) | c0_1(X5) | (~ndr1_0)) | ![X6: $i] : (c3_1(X6) | (~c0_1(X6)) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c3_1(X7) | (~c1_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | hskp2 | ![X8: $i] : (c2_1(X8) | c1_1(X8) | c0_1(X8) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) & (![X12: $i] : (c1_1(X12) | c0_1(X12) | c3_1(X12) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c3_1(X14) | (~c0_1(X14)) | (~ndr1_0)) | ![X13: $i] : (c0_1(X13) | (~c1_1(X13)) | (~c2_1(X13)) | (~ndr1_0))) & (hskp3 | hskp4 | ![X15: $i] : (c1_1(X15) | c0_1(X15) | (~c2_1(X15)) | (~ndr1_0))) & (hskp5 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c3_1(X16)) | (~ndr1_0)) | ![X17: $i] : ((~c3_1(X17)) | (~c1_1(X17)) | (~c2_1(X17)) | (~ndr1_0))) & (hskp6 | hskp7 | ![X18: $i] : (c1_1(X18) | c0_1(X18) | (~c3_1(X18)) | (~ndr1_0))) & (hskp8 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0)) | ![X20: $i] : (c0_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0))) & (hskp9 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | c3_1(X21) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | c1_1(X22) | (~c0_1(X22)) | (~ndr1_0))) & (hskp10 | hskp27 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | c3_1(X23) | (~ndr1_0))) & (hskp6 | hskp11 | ![X24: $i] : (c0_1(X24) | c3_1(X24) | (~c1_1(X24)) | (~ndr1_0))) & (hskp5 | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c0_1(X26) | (~c3_1(X26)) | (~c2_1(X26)) | (~ndr1_0))) & (hskp12 | hskp28 | ![X27: $i] : (c0_1(X27) | c3_1(X27) | (~c2_1(X27)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (![X29: $i] : (c0_1(X29) | (~c1_1(X29)) | (~c2_1(X29)) | (~ndr1_0)) | ![X30: $i] : (c1_1(X30) | c3_1(X30) | (~c2_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp3 | hskp13 | ![X32: $i] : (c0_1(X32) | (~c1_1(X32)) | (~c2_1(X32)) | (~ndr1_0))) & (hskp7 | hskp14 | ![X33: $i] : (c0_1(X33) | (~c1_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (hskp15 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c2_1(X34)) | (~ndr1_0)) | ![X35: $i] : ((~c3_1(X35)) | (~c1_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) & (hskp7 | hskp13 | ![X37: $i] : (c0_1(X37) | (~c3_1(X37)) | (~c2_1(X37)) | (~ndr1_0))) & (hskp11 | hskp27 | ![X38: $i] : (c2_1(X38) | c1_1(X38) | c3_1(X38) | (~ndr1_0))) & (hskp9 | hskp27 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | c3_1(X39) | (~ndr1_0))) & (hskp29 | ![X40: $i] : (c2_1(X40) | c1_1(X40) | (~c0_1(X40)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | (~c3_1(X41)) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c0_1(X42)) | (~ndr1_0)) | ![X43: $i] : ((~c3_1(X43)) | (~c1_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (hskp12 | hskp17 | ![X44: $i] : (c2_1(X44) | c1_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp18 | hskp19 | ![X45: $i] : (c2_1(X45) | c1_1(X45) | (~c0_1(X45)) | (~ndr1_0))) & (hskp18 | hskp20 | ![X46: $i] : (c2_1(X46) | c1_1(X46) | (~c3_1(X46)) | (~ndr1_0))) & (hskp9 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c0_1(X47)) | (~ndr1_0)) | ![X48: $i] : ((~c3_1(X48)) | (~c0_1(X48)) | (~c2_1(X48)) | (~ndr1_0))) & (hskp7 | hskp30 | ![X49: $i] : (c1_1(X49) | c3_1(X49) | (~c0_1(X49)) | (~ndr1_0))) & (hskp27 | ![X50: $i] : (c1_1(X50) | (~c0_1(X50)) | (~c2_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c1_1(X51)) | (~ndr1_0))) & (hskp0 | ![X52: $i] : (c1_1(X52) | (~c0_1(X52)) | (~c2_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c2_1(X53) | (~c1_1(X53)) | (~c0_1(X53)) | (~ndr1_0))) & (hskp21 | ![X54: $i] : (c1_1(X54) | (~c3_1(X54)) | (~c0_1(X54)) | (~ndr1_0)) | ![X55: $i] : (c2_1(X55) | c3_1(X55) | (~c1_1(X55)) | (~ndr1_0))) & (hskp1 | ![X56: $i] : (c1_1(X56) | (~c3_1(X56)) | (~c0_1(X56)) | (~ndr1_0)) | ![X57: $i] : ((~c3_1(X57)) | (~c1_1(X57)) | (~c0_1(X57)) | (~ndr1_0))) & (hskp28 | ![X58: $i] : (c1_1(X58) | (~c3_1(X58)) | (~c0_1(X58)) | (~ndr1_0))) & (hskp22 | ![X59: $i] : (c2_1(X59) | c3_1(X59) | (~c0_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c2_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp0 | ![X61: $i] : (c2_1(X61) | c3_1(X61) | (~c0_1(X61)) | (~ndr1_0)) | ![X62: $i] : (c3_1(X62) | (~c1_1(X62)) | (~c0_1(X62)) | (~ndr1_0))) & (hskp6 | hskp14 | ![X63: $i] : (c2_1(X63) | c3_1(X63) | (~c0_1(X63)) | (~ndr1_0))) & (hskp1 | hskp23 | ![X64: $i] : (c2_1(X64) | c3_1(X64) | (~c0_1(X64)) | (~ndr1_0))) & (![X65: $i] : (c2_1(X65) | c3_1(X65) | (~c1_1(X65)) | (~ndr1_0)) | ![X66: $i] : (c2_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0)) | ![X69: $i] : ((~c3_1(X69)) | (~c1_1(X69)) | (~c0_1(X69)) | (~ndr1_0)) | ![X68: $i] : (c3_1(X68) | (~c0_1(X68)) | (~c2_1(X68)) | (~ndr1_0))) & (hskp16 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c1_1(X70)) | (~ndr1_0)) | ![X71: $i] : ((~c3_1(X71)) | (~c1_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (hskp9 | hskp30 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp24 | hskp30 | ![X73: $i] : (c2_1(X73) | (~c1_1(X73)) | (~c0_1(X73)) | (~ndr1_0))) & (hskp25 | ![X74: $i] : (c2_1(X74) | (~c3_1(X74)) | (~c0_1(X74)) | (~ndr1_0)) | ![X75: $i] : (c3_1(X75) | (~c1_1(X75)) | (~c0_1(X75)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X76: $i] : (c2_1(X76) | (~c3_1(X76)) | (~c0_1(X76)) | (~ndr1_0))) & (hskp5 | hskp7 | ![X77: $i] : (c2_1(X77) | (~c3_1(X77)) | (~c0_1(X77)) | (~ndr1_0))) & (hskp21 | hskp25 | ![X78: $i] : (c2_1(X78) | (~c3_1(X78)) | (~c1_1(X78)) | (~ndr1_0))) & (hskp10 | hskp21 | ![X79: $i] : (c2_1(X79) | (~c3_1(X79)) | (~c1_1(X79)) | (~ndr1_0))) & (hskp13 | hskp27 | ![X80: $i] : (c3_1(X80) | (~c1_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp17 | hskp30 | ![X81: $i] : (c3_1(X81) | (~c0_1(X81)) | (~c2_1(X81)) | (~ndr1_0))) & (hskp8 | hskp20 | ![X82: $i] : (c3_1(X82) | (~c1_1(X82)) | (~c2_1(X82)) | (~ndr1_0))) & (hskp15 | hskp23 | ![X83: $i] : ((~c3_1(X83)) | (~c0_1(X83)) | (~c2_1(X83)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X84: $i] : ((~c3_1(X84)) | (~c1_1(X84)) | (~c2_1(X84)) | (~ndr1_0))) & (hskp5 | hskp21 | hskp26) & (hskp4 | hskp14 | hskp20) & (hskp12 | hskp13 | hskp21)),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.42/0.53 tff(21,plain,
% 0.42/0.53 ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))),
% 0.42/0.53 inference(and_elim,[status(thm)],[20])).
% 0.42/0.53 tff(22,plain,
% 0.42/0.53 ((~hskp12) | (ndr1_0 & c1_1(a917) & c3_1(a917) & (~c2_1(a917)))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.42/0.53 tff(23,plain,
% 0.42/0.53 ((~hskp12) | (~(c2_1(a917) | (~ndr1_0) | (~c1_1(a917)) | (~c3_1(a917))))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[22, 13])).
% 0.42/0.53 tff(24,plain,
% 0.42/0.53 (~hskp12),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[23, 12])).
% 0.42/0.53 tff(25,plain,
% 0.42/0.53 ((c0_1(a921) | c3_1(a921) | (~ndr1_0) | (~c2_1(a921))) | ndr1_0),
% 0.42/0.53 inference(tautology,[status(thm)],[])).
% 0.42/0.53 tff(26,plain,
% 0.42/0.53 (c0_1(a921) | c3_1(a921) | (~ndr1_0) | (~c2_1(a921))),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[25, 10])).
% 0.42/0.53 tff(27,plain,
% 0.42/0.53 (((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) <=> ((~hskp13) | (~(c0_1(a921) | c3_1(a921) | (~ndr1_0) | (~c2_1(a921)))))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(28,plain,
% 0.42/0.53 (((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))) <=> ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921))))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(29,plain,
% 0.42/0.53 ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))),
% 0.42/0.53 inference(and_elim,[status(thm)],[20])).
% 0.42/0.53 tff(30,plain,
% 0.42/0.53 ((~hskp13) | (ndr1_0 & c2_1(a921) & (~c0_1(a921)) & (~c3_1(a921)))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.42/0.53 tff(31,plain,
% 0.42/0.53 ((~hskp13) | (~(c0_1(a921) | c3_1(a921) | (~ndr1_0) | (~c2_1(a921))))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[30, 27])).
% 0.42/0.53 tff(32,plain,
% 0.42/0.53 (~hskp13),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[31, 26])).
% 0.42/0.53 tff(33,plain,
% 0.42/0.53 ((c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)) | ndr1_0),
% 0.42/0.53 inference(tautology,[status(thm)],[])).
% 0.42/0.53 tff(34,plain,
% 0.42/0.53 (c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[33, 10])).
% 0.42/0.53 tff(35,plain,
% 0.42/0.53 (((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) <=> ((~hskp21) | (~(c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(36,plain,
% 0.42/0.53 (((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))) <=> ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946))))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(37,plain,
% 0.42/0.53 ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))),
% 0.42/0.53 inference(and_elim,[status(thm)],[20])).
% 0.42/0.53 tff(38,plain,
% 0.42/0.53 ((~hskp21) | (ndr1_0 & (~c0_1(a946)) & (~c2_1(a946)) & (~c3_1(a946)))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.42/0.53 tff(39,plain,
% 0.42/0.53 ((~hskp21) | (~(c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[38, 35])).
% 0.42/0.53 tff(40,plain,
% 0.42/0.53 (~hskp21),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[39, 34])).
% 0.42/0.53 tff(41,plain,
% 0.42/0.53 ((hskp12 | hskp13 | hskp21) <=> (hskp12 | hskp13 | hskp21)),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(42,plain,
% 0.42/0.53 (hskp12 | hskp13 | hskp21),
% 0.42/0.53 inference(and_elim,[status(thm)],[20])).
% 0.42/0.53 tff(43,plain,
% 0.42/0.53 (hskp12 | hskp13 | hskp21),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.42/0.53 tff(44,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[43, 40, 32, 24])).
% 0.42/0.53 tff(45,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(46,assumption,(![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))), introduced(assumption)).
% 0.42/0.53 tff(47,assumption,(~c3_1(a946)), introduced(assumption)).
% 0.42/0.53 tff(48,assumption,(~c2_1(a946)), introduced(assumption)).
% 0.42/0.53 tff(49,assumption,(~c0_1(a946)), introduced(assumption)).
% 0.42/0.53 tff(50,assumption,(ndr1_0), introduced(assumption)).
% 0.42/0.53 tff(51,plain,
% 0.42/0.53 (((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | (c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(52,plain,
% 0.42/0.53 ((c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0)) <=> (c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(53,plain,
% 0.42/0.53 (((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | (c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | (c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)))),
% 0.42/0.53 inference(monotonicity,[status(thm)],[52])).
% 0.42/0.53 tff(54,plain,
% 0.42/0.53 (((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | (c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(transitivity,[status(thm)],[53, 51])).
% 0.42/0.53 tff(55,plain,
% 0.42/0.53 ((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | (c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(quant_inst,[status(thm)],[])).
% 0.42/0.53 tff(56,plain,
% 0.42/0.53 ((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.42/0.53 tff(57,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[56, 50, 49, 48, 47, 46])).
% 0.42/0.53 tff(58,plain,((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | (~ndr1_0) | c0_1(a946) | c2_1(a946) | c3_1(a946)), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(59,plain,
% 0.42/0.53 ((~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946)),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[58, 45])).
% 0.42/0.53 tff(60,plain,
% 0.42/0.53 (~![X19: $i] : (c2_1(X19) | c0_1(X19) | c3_1(X19) | (~ndr1_0))),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[59, 9, 7, 5])).
% 0.42/0.53 tff(61,assumption,(![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))), introduced(assumption)).
% 0.42/0.53 tff(62,plain,
% 0.42/0.53 (((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | (c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(63,plain,
% 0.42/0.53 (((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | (c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | (c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)))),
% 0.42/0.53 inference(monotonicity,[status(thm)],[52])).
% 0.42/0.53 tff(64,plain,
% 0.42/0.53 (((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | (c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(transitivity,[status(thm)],[63, 62])).
% 0.42/0.53 tff(65,plain,
% 0.42/0.53 ((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | (c2_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(quant_inst,[status(thm)],[])).
% 0.42/0.53 tff(66,plain,
% 0.42/0.53 ((~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.42/0.53 tff(67,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[66, 50, 49, 48, 47, 61])).
% 0.42/0.53 tff(68,plain,(c3_1(a946) | (~ndr1_0) | c0_1(a946) | c2_1(a946) | (~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(69,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[68, 7, 5, 61, 9, 50])).
% 0.42/0.53 tff(70,plain,((c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)) | (~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))) | (~ndr1_0)), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(71,plain,
% 0.42/0.53 ((c0_1(a946) | c2_1(a946) | c3_1(a946) | (~ndr1_0)) | (~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)))),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[70, 45])).
% 0.42/0.53 tff(72,plain,
% 0.42/0.53 (~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[71, 3])).
% 0.42/0.53 tff(73,assumption,(![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))), introduced(assumption)).
% 0.42/0.53 tff(74,assumption,(c1_1(a946)), introduced(assumption)).
% 0.42/0.53 tff(75,plain,
% 0.42/0.53 (((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | (c2_1(a946) | c3_1(a946) | (~ndr1_0) | (~c1_1(a946)))) <=> ((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | c2_1(a946) | c3_1(a946) | (~ndr1_0) | (~c1_1(a946)))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(76,plain,
% 0.42/0.53 ((c2_1(a946) | c3_1(a946) | (~c1_1(a946)) | (~ndr1_0)) <=> (c2_1(a946) | c3_1(a946) | (~ndr1_0) | (~c1_1(a946)))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(77,plain,
% 0.42/0.53 (((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | (c2_1(a946) | c3_1(a946) | (~c1_1(a946)) | (~ndr1_0))) <=> ((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | (c2_1(a946) | c3_1(a946) | (~ndr1_0) | (~c1_1(a946))))),
% 0.42/0.53 inference(monotonicity,[status(thm)],[76])).
% 0.42/0.53 tff(78,plain,
% 0.42/0.53 (((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | (c2_1(a946) | c3_1(a946) | (~c1_1(a946)) | (~ndr1_0))) <=> ((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | c2_1(a946) | c3_1(a946) | (~ndr1_0) | (~c1_1(a946)))),
% 0.42/0.53 inference(transitivity,[status(thm)],[77, 75])).
% 0.42/0.53 tff(79,plain,
% 0.42/0.53 ((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | (c2_1(a946) | c3_1(a946) | (~c1_1(a946)) | (~ndr1_0))),
% 0.42/0.53 inference(quant_inst,[status(thm)],[])).
% 0.42/0.53 tff(80,plain,
% 0.42/0.53 ((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | c2_1(a946) | c3_1(a946) | (~ndr1_0) | (~c1_1(a946))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.42/0.53 tff(81,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[80, 45, 48, 47, 73, 74])).
% 0.42/0.53 tff(82,plain,((~![X67: $i] : (c2_1(X67) | c3_1(X67) | (~c1_1(X67)) | (~ndr1_0))) | c2_1(a946) | c3_1(a946) | (~c1_1(a946))), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(83,plain,
% 0.42/0.53 (~c1_1(a946)),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[82, 73, 47, 48])).
% 0.42/0.53 tff(84,assumption,(~c1_1(a946)), introduced(assumption)).
% 0.42/0.53 tff(85,assumption,(![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))), introduced(assumption)).
% 0.42/0.53 tff(86,plain,
% 0.42/0.53 (((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | (c0_1(a946) | c2_1(a946) | (~ndr1_0) | c1_1(a946))) <=> ((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | (~ndr1_0) | c1_1(a946))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(87,plain,
% 0.42/0.53 ((c2_1(a946) | c1_1(a946) | c0_1(a946) | (~ndr1_0)) <=> (c0_1(a946) | c2_1(a946) | (~ndr1_0) | c1_1(a946))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(88,plain,
% 0.42/0.53 (((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | (c2_1(a946) | c1_1(a946) | c0_1(a946) | (~ndr1_0))) <=> ((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | (c0_1(a946) | c2_1(a946) | (~ndr1_0) | c1_1(a946)))),
% 0.42/0.53 inference(monotonicity,[status(thm)],[87])).
% 0.42/0.53 tff(89,plain,
% 0.42/0.53 (((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | (c2_1(a946) | c1_1(a946) | c0_1(a946) | (~ndr1_0))) <=> ((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | (~ndr1_0) | c1_1(a946))),
% 0.42/0.53 inference(transitivity,[status(thm)],[88, 86])).
% 0.42/0.53 tff(90,plain,
% 0.42/0.53 ((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | (c2_1(a946) | c1_1(a946) | c0_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(quant_inst,[status(thm)],[])).
% 0.42/0.53 tff(91,plain,
% 0.42/0.53 ((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | (~ndr1_0) | c1_1(a946)),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.42/0.53 tff(92,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[91, 45, 49, 48, 85, 84])).
% 0.42/0.53 tff(93,plain,((~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) | c0_1(a946) | c2_1(a946) | c1_1(a946)), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(94,plain,
% 0.42/0.53 (~![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[93, 83, 48, 49])).
% 0.42/0.53 tff(95,assumption,(~![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0))), introduced(assumption)).
% 0.42/0.53 tff(96,assumption,(![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))), introduced(assumption)).
% 0.42/0.53 tff(97,plain,
% 0.42/0.53 (((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | (c0_1(a946) | c3_1(a946) | (~ndr1_0) | c1_1(a946))) <=> ((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | c0_1(a946) | c3_1(a946) | (~ndr1_0) | c1_1(a946))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(98,plain,
% 0.42/0.53 ((c1_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0)) <=> (c0_1(a946) | c3_1(a946) | (~ndr1_0) | c1_1(a946))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(99,plain,
% 0.42/0.53 (((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | (c1_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | (c0_1(a946) | c3_1(a946) | (~ndr1_0) | c1_1(a946)))),
% 0.42/0.53 inference(monotonicity,[status(thm)],[98])).
% 0.42/0.53 tff(100,plain,
% 0.42/0.53 (((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | (c1_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))) <=> ((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | c0_1(a946) | c3_1(a946) | (~ndr1_0) | c1_1(a946))),
% 0.42/0.53 inference(transitivity,[status(thm)],[99, 97])).
% 0.42/0.53 tff(101,plain,
% 0.42/0.53 ((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | (c1_1(a946) | c0_1(a946) | c3_1(a946) | (~ndr1_0))),
% 0.42/0.53 inference(quant_inst,[status(thm)],[])).
% 0.42/0.53 tff(102,plain,
% 0.42/0.53 ((~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | c0_1(a946) | c3_1(a946) | (~ndr1_0) | c1_1(a946)),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.42/0.53 tff(103,plain,
% 0.42/0.53 ($false),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[102, 50, 49, 47, 96, 84])).
% 0.42/0.53 tff(104,plain,(c0_1(a946) | (~ndr1_0) | c3_1(a946) | (~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | c1_1(a946)), inference(lemma,lemma(discharge,[]))).
% 0.42/0.53 tff(105,plain,
% 0.42/0.53 (c0_1(a946) | c3_1(a946) | (~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))) | c1_1(a946)),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[104, 45])).
% 0.42/0.53 tff(106,plain,
% 0.42/0.53 (~![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0))),
% 0.42/0.53 inference(unit_resolution,[status(thm)],[105, 83, 47, 49])).
% 0.42/0.53 tff(107,plain,
% 0.42/0.53 ((![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) <=> (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0)))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(108,plain,
% 0.42/0.53 ((![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))) <=> (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0)))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(109,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(and_elim,[status(thm)],[20])).
% 0.42/0.53 tff(110,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.42/0.53 tff(111,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[110, 108])).
% 0.42/0.53 tff(112,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[111, 108])).
% 0.42/0.53 tff(113,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.42/0.53 tff(114,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[113, 108])).
% 0.42/0.53 tff(115,plain,
% 0.42/0.53 (![X9: $i] : (c1_1(X9) | c0_1(X9) | c3_1(X9) | (~ndr1_0)) | ![X10: $i] : (c2_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c0_1(X11)) | (~ndr1_0))),
% 0.42/0.53 inference(modus_ponens,[status(thm)],[114, 108])).
% 0.42/0.53 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------