TSTP Solution File: SYN436+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN436+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 23:55:22 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN436+1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n028.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 03:42:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 tff(hskp2_type, type, (
% 0.20/0.51 hskp2: $o)).
% 0.20/0.51 tff(c1_1_type, type, (
% 0.20/0.51 c1_1: $i > $o)).
% 0.20/0.51 tff(a4_type, type, (
% 0.20/0.51 a4: $i)).
% 0.20/0.51 tff(ndr1_0_type, type, (
% 0.20/0.51 ndr1_0: $o)).
% 0.20/0.51 tff(c3_1_type, type, (
% 0.20/0.51 c3_1: $i > $o)).
% 0.20/0.51 tff(c2_1_type, type, (
% 0.20/0.51 c2_1: $i > $o)).
% 0.20/0.51 tff(c0_1_type, type, (
% 0.20/0.51 c0_1: $i > $o)).
% 0.20/0.51 tff(hskp5_type, type, (
% 0.20/0.51 hskp5: $o)).
% 0.20/0.51 tff(a22_type, type, (
% 0.20/0.51 a22: $i)).
% 0.20/0.51 tff(a31_type, type, (
% 0.20/0.51 a31: $i)).
% 0.20/0.51 tff(hskp17_type, type, (
% 0.20/0.51 hskp17: $o)).
% 0.20/0.51 tff(a15_type, type, (
% 0.20/0.51 a15: $i)).
% 0.20/0.51 tff(hskp8_type, type, (
% 0.20/0.51 hskp8: $o)).
% 0.20/0.51 tff(hskp4_type, type, (
% 0.20/0.51 hskp4: $o)).
% 0.20/0.51 tff(a6_type, type, (
% 0.20/0.51 a6: $i)).
% 0.20/0.51 tff(a10_type, type, (
% 0.20/0.51 a10: $i)).
% 0.20/0.51 tff(hskp26_type, type, (
% 0.20/0.51 hskp26: $o)).
% 0.20/0.51 tff(hskp7_type, type, (
% 0.20/0.51 hskp7: $o)).
% 0.20/0.51 tff(a14_type, type, (
% 0.20/0.51 a14: $i)).
% 0.20/0.51 tff(hskp23_type, type, (
% 0.20/0.51 hskp23: $o)).
% 0.20/0.51 tff(a53_type, type, (
% 0.20/0.51 a53: $i)).
% 0.20/0.51 tff(hskp24_type, type, (
% 0.20/0.51 hskp24: $o)).
% 0.20/0.51 tff(hskp0_type, type, (
% 0.20/0.51 hskp0: $o)).
% 0.20/0.51 tff(hskp13_type, type, (
% 0.20/0.51 hskp13: $o)).
% 0.20/0.51 tff(hskp9_type, type, (
% 0.20/0.51 hskp9: $o)).
% 0.20/0.51 tff(hskp22_type, type, (
% 0.20/0.51 hskp22: $o)).
% 0.20/0.51 tff(hskp6_type, type, (
% 0.20/0.51 hskp6: $o)).
% 0.20/0.51 tff(hskp25_type, type, (
% 0.20/0.51 hskp25: $o)).
% 0.20/0.51 tff(hskp21_type, type, (
% 0.20/0.51 hskp21: $o)).
% 0.20/0.51 tff(hskp10_type, type, (
% 0.20/0.51 hskp10: $o)).
% 0.20/0.51 tff(hskp20_type, type, (
% 0.20/0.51 hskp20: $o)).
% 0.20/0.51 tff(hskp19_type, type, (
% 0.20/0.51 hskp19: $o)).
% 0.20/0.51 tff(hskp18_type, type, (
% 0.20/0.51 hskp18: $o)).
% 0.20/0.51 tff(hskp16_type, type, (
% 0.20/0.51 hskp16: $o)).
% 0.20/0.51 tff(hskp15_type, type, (
% 0.20/0.51 hskp15: $o)).
% 0.20/0.51 tff(hskp14_type, type, (
% 0.20/0.51 hskp14: $o)).
% 0.20/0.51 tff(hskp27_type, type, (
% 0.20/0.51 hskp27: $o)).
% 0.20/0.51 tff(hskp12_type, type, (
% 0.20/0.51 hskp12: $o)).
% 0.20/0.51 tff(hskp11_type, type, (
% 0.20/0.51 hskp11: $o)).
% 0.20/0.51 tff(hskp3_type, type, (
% 0.20/0.51 hskp3: $o)).
% 0.20/0.51 tff(hskp1_type, type, (
% 0.20/0.51 hskp1: $o)).
% 0.20/0.51 tff(a11_type, type, (
% 0.20/0.51 a11: $i)).
% 0.20/0.51 tff(a9_type, type, (
% 0.20/0.51 a9: $i)).
% 0.20/0.51 tff(a3_type, type, (
% 0.20/0.51 a3: $i)).
% 0.20/0.51 tff(a45_type, type, (
% 0.20/0.51 a45: $i)).
% 0.20/0.51 tff(a42_type, type, (
% 0.20/0.51 a42: $i)).
% 0.20/0.51 tff(a37_type, type, (
% 0.20/0.51 a37: $i)).
% 0.20/0.51 tff(a33_type, type, (
% 0.20/0.51 a33: $i)).
% 0.20/0.51 tff(a32_type, type, (
% 0.20/0.51 a32: $i)).
% 0.20/0.51 tff(a30_type, type, (
% 0.20/0.51 a30: $i)).
% 0.20/0.51 tff(a25_type, type, (
% 0.20/0.51 a25: $i)).
% 0.20/0.51 tff(a24_type, type, (
% 0.20/0.51 a24: $i)).
% 0.20/0.51 tff(a21_type, type, (
% 0.20/0.51 a21: $i)).
% 0.20/0.51 tff(a19_type, type, (
% 0.20/0.51 a19: $i)).
% 0.20/0.51 tff(a18_type, type, (
% 0.20/0.51 a18: $i)).
% 0.20/0.51 tff(a16_type, type, (
% 0.20/0.51 a16: $i)).
% 0.20/0.51 tff(a8_type, type, (
% 0.20/0.51 a8: $i)).
% 0.20/0.51 tff(a7_type, type, (
% 0.20/0.51 a7: $i)).
% 0.20/0.51 tff(a5_type, type, (
% 0.20/0.51 a5: $i)).
% 0.20/0.51 tff(a2_type, type, (
% 0.20/0.51 a2: $i)).
% 0.20/0.51 tff(a1_type, type, (
% 0.20/0.51 a1: $i)).
% 0.20/0.51 tff(1,assumption,(~hskp17), introduced(assumption)).
% 0.20/0.51 tff(2,assumption,(![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.51 tff(3,assumption,(~hskp26), introduced(assumption)).
% 0.20/0.51 tff(4,assumption,(![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.51 tff(5,assumption,(~ndr1_0), introduced(assumption)).
% 0.20/0.51 tff(6,plain,
% 0.20/0.51 ((c0_1(a53) | c1_1(a53) | (~ndr1_0) | (~c3_1(a53))) | ndr1_0),
% 0.20/0.51 inference(tautology,[status(thm)],[])).
% 0.20/0.51 tff(7,plain,
% 0.20/0.51 (c0_1(a53) | c1_1(a53) | (~ndr1_0) | (~c3_1(a53))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[6, 5])).
% 0.20/0.51 tff(8,plain,
% 0.20/0.51 (((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) <=> ((~hskp23) | (~(c0_1(a53) | c1_1(a53) | (~ndr1_0) | (~c3_1(a53)))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(9,plain,
% 0.20/0.51 (((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) <=> ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(10,plain,
% 0.20/0.51 ((~(~(((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) & ((~hskp1) | (ndr1_0 & c2_1(a2) & (~c0_1(a2)) & (~c3_1(a2)))) & ((~hskp2) | (ndr1_0 & c1_1(a4) & (~c2_1(a4)) & (~c3_1(a4)))) & ((~hskp3) | (ndr1_0 & (~c1_1(a5)) & (~c2_1(a5)) & (~c3_1(a5)))) & ((~hskp4) | (ndr1_0 & c1_1(a6) & c3_1(a6) & (~c2_1(a6)))) & ((~hskp5) | (ndr1_0 & c1_1(a7) & c3_1(a7) & (~c0_1(a7)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & c1_1(a8) & (~c2_1(a8)))) & ((~hskp7) | (ndr1_0 & c0_1(a14) & c3_1(a14) & (~c2_1(a14)))) & ((~hskp8) | (ndr1_0 & c0_1(a15) & (~c1_1(a15)) & (~c2_1(a15)))) & ((~hskp9) | (ndr1_0 & c0_1(a16) & (~c2_1(a16)) & (~c3_1(a16)))) & ((~hskp10) | (ndr1_0 & c0_1(a18) & c2_1(a18) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & (~c0_1(a21)) & (~c1_1(a21)) & (~c2_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & c2_1(a24) & (~c0_1(a24)) & (~c1_1(a24)))) & ((~hskp15) | (ndr1_0 & c0_1(a25) & c1_1(a25) & (~c3_1(a25)))) & ((~hskp16) | (ndr1_0 & c1_1(a30) & (~c0_1(a30)) & (~c2_1(a30)))) & ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a32)) & (~c1_1(a32)) & (~c3_1(a32)))) & ((~hskp19) | (ndr1_0 & c2_1(a33) & c3_1(a33) & (~c0_1(a33)))) & ((~hskp20) | (ndr1_0 & c1_1(a37) & (~c0_1(a37)) & (~c3_1(a37)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c1_1(a42)))) & ((~hskp22) | (ndr1_0 & c0_1(a45) & (~c1_1(a45)) & (~c3_1(a45)))) & ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) & ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) & ((~hskp25) | (ndr1_0 & c0_1(a9) & c1_1(a9) & c2_1(a9))) & ((~hskp26) | (ndr1_0 & c0_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp27) | (ndr1_0 & c0_1(a11) & c1_1(a11) & c3_1(a11))) & (![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] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c1_1(Y) | (~c2_1(Y)) | (~c0_1(Y)) | (~ndr1_0))) & (![Z: $i] : (c1_1(Z) | c0_1(Z) | c3_1(Z) | (~ndr1_0)) | ![X1: $i] : (c0_1(X1) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (hskp1 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c1_1(X3) | (~c3_1(X3)) | (~c2_1(X3)) | (~ndr1_0))) & (hskp24 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | c3_1(X4) | (~ndr1_0)) | ![X5: $i] : (c3_1(X5) | (~c0_1(X5)) | (~c1_1(X5)) | (~ndr1_0))) & (![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c0_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | (~c2_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c1_1(X10) | c3_1(X10) | (~c0_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0))) & (hskp4 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c1_1(X14) | (~c0_1(X14)) | (~ndr1_0))) & (![X15: $i] : (c2_1(X15) | c0_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c2_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | c1_1(X17) | c3_1(X17) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | c3_1(X19) | (~c0_1(X19)) | (~ndr1_0))) & (hskp5 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c3_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp6 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c3_1(X23)) | (~ndr1_0)) | ![X24: $i] : ((~c3_1(X24)) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))) & (![X27: $i] : ((~c2_1(X27)) | (~c0_1(X27)) | (~c1_1(X27)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c2_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X29: $i] : (c0_1(X29) | (~c2_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp27 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | (~c1_1(X30)) | (~ndr1_0))) & (hskp8 | hskp9 | ![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp4 | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c1_1(X33) | c3_1(X33) | (~c0_1(X33)) | (~ndr1_0))) & (hskp10 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c3_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) & (hskp12 | hskp27 | ![X38: $i] : (c0_1(X38) | (~c3_1(X38)) | (~c2_1(X38)) | (~ndr1_0))) & (hskp13 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : (c1_1(X40) | (~c3_1(X40)) | (~c0_1(X40)) | (~ndr1_0))) & (hskp2 | hskp14 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c3_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | (~c3_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)) | ![X45: $i] : ((~c3_1(X45)) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp6 | hskp26 | ![X46: $i] : (c1_1(X46) | c3_1(X46) | (~c2_1(X46)) | (~ndr1_0))) & (hskp7 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c2_1(X47)) | (~ndr1_0))) & (![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c3_1(X48) | (~c0_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))) & (hskp16 | hskp26 | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c0_1(X51)) | (~ndr1_0))) & (hskp17 | hskp18 | ![X52: $i] : (c2_1(X52) | (~c3_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp19 | ![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0)) | ![X54: $i] : ((~c2_1(X54)) | (~c0_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp9 | hskp24 | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp20 | hskp26 | ![X56: $i] : (c3_1(X56) | (~c2_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp6 | hskp10 | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c1_1(X57)) | (~ndr1_0))) & (hskp17 | hskp21 | hskp25) & (hskp6 | hskp22 | hskp26) & (hskp4 | hskp8 | hskp17) & (hskp7 | hskp9 | hskp13) & (hskp0 | hskp23 | hskp24)))) <=> (((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) & ((~hskp1) | (ndr1_0 & c2_1(a2) & (~c0_1(a2)) & (~c3_1(a2)))) & ((~hskp2) | (ndr1_0 & c1_1(a4) & (~c2_1(a4)) & (~c3_1(a4)))) & ((~hskp3) | (ndr1_0 & (~c1_1(a5)) & (~c2_1(a5)) & (~c3_1(a5)))) & ((~hskp4) | (ndr1_0 & c1_1(a6) & c3_1(a6) & (~c2_1(a6)))) & ((~hskp5) | (ndr1_0 & c1_1(a7) & c3_1(a7) & (~c0_1(a7)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & c1_1(a8) & (~c2_1(a8)))) & ((~hskp7) | (ndr1_0 & c0_1(a14) & c3_1(a14) & (~c2_1(a14)))) & ((~hskp8) | (ndr1_0 & c0_1(a15) & (~c1_1(a15)) & (~c2_1(a15)))) & ((~hskp9) | (ndr1_0 & c0_1(a16) & (~c2_1(a16)) & (~c3_1(a16)))) & ((~hskp10) | (ndr1_0 & c0_1(a18) & c2_1(a18) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & (~c0_1(a21)) & (~c1_1(a21)) & (~c2_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & c2_1(a24) & (~c0_1(a24)) & (~c1_1(a24)))) & ((~hskp15) | (ndr1_0 & c0_1(a25) & c1_1(a25) & (~c3_1(a25)))) & ((~hskp16) | (ndr1_0 & c1_1(a30) & (~c0_1(a30)) & (~c2_1(a30)))) & ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a32)) & (~c1_1(a32)) & (~c3_1(a32)))) & ((~hskp19) | (ndr1_0 & c2_1(a33) & c3_1(a33) & (~c0_1(a33)))) & ((~hskp20) | (ndr1_0 & c1_1(a37) & (~c0_1(a37)) & (~c3_1(a37)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c1_1(a42)))) & ((~hskp22) | (ndr1_0 & c0_1(a45) & (~c1_1(a45)) & (~c3_1(a45)))) & ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) & ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) & ((~hskp25) | (ndr1_0 & c0_1(a9) & c1_1(a9) & c2_1(a9))) & ((~hskp26) | (ndr1_0 & c0_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp27) | (ndr1_0 & c0_1(a11) & c1_1(a11) & c3_1(a11))) & (![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] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c1_1(Y) | (~c2_1(Y)) | (~c0_1(Y)) | (~ndr1_0))) & (![Z: $i] : (c1_1(Z) | c0_1(Z) | c3_1(Z) | (~ndr1_0)) | ![X1: $i] : (c0_1(X1) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (hskp1 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c1_1(X3) | (~c3_1(X3)) | (~c2_1(X3)) | (~ndr1_0))) & (hskp24 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | c3_1(X4) | (~ndr1_0)) | ![X5: $i] : (c3_1(X5) | (~c0_1(X5)) | (~c1_1(X5)) | (~ndr1_0))) & (![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c0_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | (~c2_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c1_1(X10) | c3_1(X10) | (~c0_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0))) & (hskp4 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c1_1(X14) | (~c0_1(X14)) | (~ndr1_0))) & (![X15: $i] : (c2_1(X15) | c0_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c2_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | c1_1(X17) | c3_1(X17) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | c3_1(X19) | (~c0_1(X19)) | (~ndr1_0))) & (hskp5 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c3_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp6 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c3_1(X23)) | (~ndr1_0)) | ![X24: $i] : ((~c3_1(X24)) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))) & (![X27: $i] : ((~c2_1(X27)) | (~c0_1(X27)) | (~c1_1(X27)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c2_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X29: $i] : (c0_1(X29) | (~c2_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp27 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | (~c1_1(X30)) | (~ndr1_0))) & (hskp8 | hskp9 | ![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp4 | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c1_1(X33) | c3_1(X33) | (~c0_1(X33)) | (~ndr1_0))) & (hskp10 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c3_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) & (hskp12 | hskp27 | ![X38: $i] : (c0_1(X38) | (~c3_1(X38)) | (~c2_1(X38)) | (~ndr1_0))) & (hskp13 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : (c1_1(X40) | (~c3_1(X40)) | (~c0_1(X40)) | (~ndr1_0))) & (hskp2 | hskp14 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c3_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | (~c3_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)) | ![X45: $i] : ((~c3_1(X45)) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp6 | hskp26 | ![X46: $i] : (c1_1(X46) | c3_1(X46) | (~c2_1(X46)) | (~ndr1_0))) & (hskp7 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c2_1(X47)) | (~ndr1_0))) & (![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c3_1(X48) | (~c0_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))) & (hskp16 | hskp26 | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c0_1(X51)) | (~ndr1_0))) & (hskp17 | hskp18 | ![X52: $i] : (c2_1(X52) | (~c3_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp19 | ![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0)) | ![X54: $i] : ((~c2_1(X54)) | (~c0_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp9 | hskp24 | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp20 | hskp26 | ![X56: $i] : (c3_1(X56) | (~c2_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp6 | hskp10 | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c1_1(X57)) | (~ndr1_0))) & (hskp17 | hskp21 | hskp25) & (hskp6 | hskp22 | hskp26) & (hskp4 | hskp8 | hskp17) & (hskp7 | hskp9 | hskp13) & (hskp0 | hskp23 | hskp24))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(11,plain,
% 0.20/0.52 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c3_1(a1)) & (~c0_1(a1))) & (~c2_1(a1)))) & ((~hskp1) | (((ndr1_0 & c2_1(a2)) & (~c0_1(a2))) & (~c3_1(a2))))) & ((~hskp2) | (((ndr1_0 & c1_1(a4)) & (~c2_1(a4))) & (~c3_1(a4))))) & ((~hskp3) | (((ndr1_0 & (~c1_1(a5))) & (~c2_1(a5))) & (~c3_1(a5))))) & ((~hskp4) | (((ndr1_0 & c1_1(a6)) & c3_1(a6)) & (~c2_1(a6))))) & ((~hskp5) | (((ndr1_0 & c1_1(a7)) & c3_1(a7)) & (~c0_1(a7))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & c1_1(a8)) & (~c2_1(a8))))) & ((~hskp7) | (((ndr1_0 & c0_1(a14)) & c3_1(a14)) & (~c2_1(a14))))) & ((~hskp8) | (((ndr1_0 & c0_1(a15)) & (~c1_1(a15))) & (~c2_1(a15))))) & ((~hskp9) | (((ndr1_0 & c0_1(a16)) & (~c2_1(a16))) & (~c3_1(a16))))) & ((~hskp10) | (((ndr1_0 & c0_1(a18)) & c2_1(a18)) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c2_1(a19)) & (~c1_1(a19))) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & (~c0_1(a21))) & (~c1_1(a21))) & (~c2_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & c2_1(a24)) & (~c0_1(a24))) & (~c1_1(a24))))) & ((~hskp15) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & (~c3_1(a25))))) & ((~hskp16) | (((ndr1_0 & c1_1(a30)) & (~c0_1(a30))) & (~c2_1(a30))))) & ((~hskp17) | (((ndr1_0 & c0_1(a31)) & c2_1(a31)) & (~c1_1(a31))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a32))) & (~c1_1(a32))) & (~c3_1(a32))))) & ((~hskp19) | (((ndr1_0 & c2_1(a33)) & c3_1(a33)) & (~c0_1(a33))))) & ((~hskp20) | (((ndr1_0 & c1_1(a37)) & (~c0_1(a37))) & (~c3_1(a37))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c1_1(a42))))) & ((~hskp22) | (((ndr1_0 & c0_1(a45)) & (~c1_1(a45))) & (~c3_1(a45))))) & ((~hskp23) | (((ndr1_0 & c3_1(a53)) & (~c0_1(a53))) & (~c1_1(a53))))) & ((~hskp24) | (((ndr1_0 & c1_1(a3)) & c2_1(a3)) & c3_1(a3)))) & ((~hskp25) | (((ndr1_0 & c0_1(a9)) & c1_1(a9)) & c2_1(a9)))) & ((~hskp26) | (((ndr1_0 & c0_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp27) | (((ndr1_0 & c0_1(a11)) & c1_1(a11)) & c3_1(a11)))) & ((![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) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c1_1(Y) | (~c0_1(Y))) | (~c2_1(Y))))) | hskp0)) & (![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c3_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))) | ![X3: $i] : (ndr1_0 => ((c1_1(X3) | (~c2_1(X3))) | (~c3_1(X3))))) | hskp1)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | c3_1(X4))) | ![X5: $i] : (ndr1_0 => ((c3_1(X5) | (~c0_1(X5))) | (~c1_1(X5))))) | hskp24)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c0_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | ![X8: $i] : (ndr1_0 => ((c1_1(X8) | (~c2_1(X8))) | (~c3_1(X8)))))) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | (~c2_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c0_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c1_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | hskp2) | hskp3)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | ![X14: $i] : (ndr1_0 => ((c1_1(X14) | c2_1(X14)) | (~c0_1(X14))))) | hskp4)) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | c3_1(X15))) | ![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c2_1(X16))))) | ![X17: $i] : (ndr1_0 => ((c1_1(X17) | c2_1(X17)) | c3_1(X17))))) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c0_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | (~c1_1(X20))) | (~c3_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c3_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp5)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c3_1(X23)))) | ![X24: $i] : (ndr1_0 => (((~c1_1(X24)) | (~c2_1(X24))) | (~c3_1(X24))))) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c2_1(X26) | c3_1(X26)) | (~c1_1(X26))))) | ![X27: $i] : (ndr1_0 => (((~c0_1(X27)) | (~c1_1(X27))) | (~c2_1(X27)))))) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp25) | hskp26)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | hskp27) | hskp26)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | hskp27) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | hskp8) | hskp9)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c1_1(X33) | c3_1(X33)) | (~c0_1(X33))))) | hskp4)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp10)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37))))) | hskp11)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | hskp27) | hskp12)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | (~c0_1(X40))) | (~c3_1(X40))))) | hskp13)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | (~c0_1(X41)))) | hskp2) | hskp14)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c3_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c2_1(X43) | (~c0_1(X43))) | (~c3_1(X43))))) | hskp15)) & (![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => (((~c0_1(X45)) | (~c2_1(X45))) | (~c3_1(X45)))))) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c3_1(X46)) | (~c2_1(X46)))) | hskp6) | hskp26)) & (![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | hskp7)) & ((![X48: $i] : (ndr1_0 => ((c2_1(X48) | c3_1(X48)) | (~c0_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c2_1(X49) | c3_1(X49)) | (~c1_1(X49))))) | ![X50: $i] : (ndr1_0 => (((~c0_1(X50)) | (~c2_1(X50))) | (~c3_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c0_1(X51)))) | hskp26) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c2_1(X52) | (~c0_1(X52))) | (~c3_1(X52)))) | hskp17) | hskp18)) & ((![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c1_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => (((~c0_1(X54)) | (~c1_1(X54))) | (~c2_1(X54))))) | hskp19)) & ((![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c1_1(X55))) | (~c3_1(X55)))) | hskp9) | hskp24)) & ((![X56: $i] : (ndr1_0 => ((c3_1(X56) | (~c0_1(X56))) | (~c2_1(X56)))) | hskp26) | hskp20)) & ((![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c2_1(X57)))) | hskp6) | hskp10)) & ((hskp25 | hskp17) | hskp21)) & ((hskp6 | hskp26) | hskp22)) & ((hskp17 | hskp8) | hskp4)) & ((hskp7 | hskp9) | hskp13)) & ((hskp24 | hskp23) | hskp0))) <=> (~(((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) & ((~hskp1) | (ndr1_0 & c2_1(a2) & (~c0_1(a2)) & (~c3_1(a2)))) & ((~hskp2) | (ndr1_0 & c1_1(a4) & (~c2_1(a4)) & (~c3_1(a4)))) & ((~hskp3) | (ndr1_0 & (~c1_1(a5)) & (~c2_1(a5)) & (~c3_1(a5)))) & ((~hskp4) | (ndr1_0 & c1_1(a6) & c3_1(a6) & (~c2_1(a6)))) & ((~hskp5) | (ndr1_0 & c1_1(a7) & c3_1(a7) & (~c0_1(a7)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & c1_1(a8) & (~c2_1(a8)))) & ((~hskp7) | (ndr1_0 & c0_1(a14) & c3_1(a14) & (~c2_1(a14)))) & ((~hskp8) | (ndr1_0 & c0_1(a15) & (~c1_1(a15)) & (~c2_1(a15)))) & ((~hskp9) | (ndr1_0 & c0_1(a16) & (~c2_1(a16)) & (~c3_1(a16)))) & ((~hskp10) | (ndr1_0 & c0_1(a18) & c2_1(a18) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & (~c0_1(a21)) & (~c1_1(a21)) & (~c2_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & c2_1(a24) & (~c0_1(a24)) & (~c1_1(a24)))) & ((~hskp15) | (ndr1_0 & c0_1(a25) & c1_1(a25) & (~c3_1(a25)))) & ((~hskp16) | (ndr1_0 & c1_1(a30) & (~c0_1(a30)) & (~c2_1(a30)))) & ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a32)) & (~c1_1(a32)) & (~c3_1(a32)))) & ((~hskp19) | (ndr1_0 & c2_1(a33) & c3_1(a33) & (~c0_1(a33)))) & ((~hskp20) | (ndr1_0 & c1_1(a37) & (~c0_1(a37)) & (~c3_1(a37)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c1_1(a42)))) & ((~hskp22) | (ndr1_0 & c0_1(a45) & (~c1_1(a45)) & (~c3_1(a45)))) & ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) & ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) & ((~hskp25) | (ndr1_0 & c0_1(a9) & c1_1(a9) & c2_1(a9))) & ((~hskp26) | (ndr1_0 & c0_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp27) | (ndr1_0 & c0_1(a11) & c1_1(a11) & c3_1(a11))) & (![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] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c1_1(Y) | (~c2_1(Y)) | (~c0_1(Y)) | (~ndr1_0))) & (![Z: $i] : (c1_1(Z) | c0_1(Z) | c3_1(Z) | (~ndr1_0)) | ![X1: $i] : (c0_1(X1) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (hskp1 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c1_1(X3) | (~c3_1(X3)) | (~c2_1(X3)) | (~ndr1_0))) & (hskp24 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | c3_1(X4) | (~ndr1_0)) | ![X5: $i] : (c3_1(X5) | (~c0_1(X5)) | (~c1_1(X5)) | (~ndr1_0))) & (![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c0_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | (~c2_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c1_1(X10) | c3_1(X10) | (~c0_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0))) & (hskp4 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c1_1(X14) | (~c0_1(X14)) | (~ndr1_0))) & (![X15: $i] : (c2_1(X15) | c0_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c2_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | c1_1(X17) | c3_1(X17) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | c3_1(X19) | (~c0_1(X19)) | (~ndr1_0))) & (hskp5 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c3_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp6 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c3_1(X23)) | (~ndr1_0)) | ![X24: $i] : ((~c3_1(X24)) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))) & (![X27: $i] : ((~c2_1(X27)) | (~c0_1(X27)) | (~c1_1(X27)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c2_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X29: $i] : (c0_1(X29) | (~c2_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp27 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | (~c1_1(X30)) | (~ndr1_0))) & (hskp8 | hskp9 | ![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp4 | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c1_1(X33) | c3_1(X33) | (~c0_1(X33)) | (~ndr1_0))) & (hskp10 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c3_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) & (hskp12 | hskp27 | ![X38: $i] : (c0_1(X38) | (~c3_1(X38)) | (~c2_1(X38)) | (~ndr1_0))) & (hskp13 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : (c1_1(X40) | (~c3_1(X40)) | (~c0_1(X40)) | (~ndr1_0))) & (hskp2 | hskp14 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c3_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | (~c3_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)) | ![X45: $i] : ((~c3_1(X45)) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp6 | hskp26 | ![X46: $i] : (c1_1(X46) | c3_1(X46) | (~c2_1(X46)) | (~ndr1_0))) & (hskp7 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c2_1(X47)) | (~ndr1_0))) & (![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c3_1(X48) | (~c0_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))) & (hskp16 | hskp26 | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c0_1(X51)) | (~ndr1_0))) & (hskp17 | hskp18 | ![X52: $i] : (c2_1(X52) | (~c3_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp19 | ![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0)) | ![X54: $i] : ((~c2_1(X54)) | (~c0_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp9 | hskp24 | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp20 | hskp26 | ![X56: $i] : (c3_1(X56) | (~c2_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp6 | hskp10 | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c1_1(X57)) | (~ndr1_0))) & (hskp17 | hskp21 | hskp25) & (hskp6 | hskp22 | hskp26) & (hskp4 | hskp8 | hskp17) & (hskp7 | hskp9 | hskp13) & (hskp0 | hskp23 | hskp24)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(12,plain,
% 0.20/0.52 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c3_1(a1)) & (~c0_1(a1))) & (~c2_1(a1)))) & ((~hskp1) | (((ndr1_0 & c2_1(a2)) & (~c0_1(a2))) & (~c3_1(a2))))) & ((~hskp2) | (((ndr1_0 & c1_1(a4)) & (~c2_1(a4))) & (~c3_1(a4))))) & ((~hskp3) | (((ndr1_0 & (~c1_1(a5))) & (~c2_1(a5))) & (~c3_1(a5))))) & ((~hskp4) | (((ndr1_0 & c1_1(a6)) & c3_1(a6)) & (~c2_1(a6))))) & ((~hskp5) | (((ndr1_0 & c1_1(a7)) & c3_1(a7)) & (~c0_1(a7))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & c1_1(a8)) & (~c2_1(a8))))) & ((~hskp7) | (((ndr1_0 & c0_1(a14)) & c3_1(a14)) & (~c2_1(a14))))) & ((~hskp8) | (((ndr1_0 & c0_1(a15)) & (~c1_1(a15))) & (~c2_1(a15))))) & ((~hskp9) | (((ndr1_0 & c0_1(a16)) & (~c2_1(a16))) & (~c3_1(a16))))) & ((~hskp10) | (((ndr1_0 & c0_1(a18)) & c2_1(a18)) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c2_1(a19)) & (~c1_1(a19))) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & (~c0_1(a21))) & (~c1_1(a21))) & (~c2_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & c2_1(a24)) & (~c0_1(a24))) & (~c1_1(a24))))) & ((~hskp15) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & (~c3_1(a25))))) & ((~hskp16) | (((ndr1_0 & c1_1(a30)) & (~c0_1(a30))) & (~c2_1(a30))))) & ((~hskp17) | (((ndr1_0 & c0_1(a31)) & c2_1(a31)) & (~c1_1(a31))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a32))) & (~c1_1(a32))) & (~c3_1(a32))))) & ((~hskp19) | (((ndr1_0 & c2_1(a33)) & c3_1(a33)) & (~c0_1(a33))))) & ((~hskp20) | (((ndr1_0 & c1_1(a37)) & (~c0_1(a37))) & (~c3_1(a37))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c1_1(a42))))) & ((~hskp22) | (((ndr1_0 & c0_1(a45)) & (~c1_1(a45))) & (~c3_1(a45))))) & ((~hskp23) | (((ndr1_0 & c3_1(a53)) & (~c0_1(a53))) & (~c1_1(a53))))) & ((~hskp24) | (((ndr1_0 & c1_1(a3)) & c2_1(a3)) & c3_1(a3)))) & ((~hskp25) | (((ndr1_0 & c0_1(a9)) & c1_1(a9)) & c2_1(a9)))) & ((~hskp26) | (((ndr1_0 & c0_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp27) | (((ndr1_0 & c0_1(a11)) & c1_1(a11)) & c3_1(a11)))) & ((![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) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c1_1(Y) | (~c0_1(Y))) | (~c2_1(Y))))) | hskp0)) & (![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c3_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))) | ![X3: $i] : (ndr1_0 => ((c1_1(X3) | (~c2_1(X3))) | (~c3_1(X3))))) | hskp1)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | c3_1(X4))) | ![X5: $i] : (ndr1_0 => ((c3_1(X5) | (~c0_1(X5))) | (~c1_1(X5))))) | hskp24)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c0_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | ![X8: $i] : (ndr1_0 => ((c1_1(X8) | (~c2_1(X8))) | (~c3_1(X8)))))) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | (~c2_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c0_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c1_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | hskp2) | hskp3)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | ![X14: $i] : (ndr1_0 => ((c1_1(X14) | c2_1(X14)) | (~c0_1(X14))))) | hskp4)) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | c3_1(X15))) | ![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c2_1(X16))))) | ![X17: $i] : (ndr1_0 => ((c1_1(X17) | c2_1(X17)) | c3_1(X17))))) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c0_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | (~c1_1(X20))) | (~c3_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c3_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp5)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c3_1(X23)))) | ![X24: $i] : (ndr1_0 => (((~c1_1(X24)) | (~c2_1(X24))) | (~c3_1(X24))))) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c2_1(X26) | c3_1(X26)) | (~c1_1(X26))))) | ![X27: $i] : (ndr1_0 => (((~c0_1(X27)) | (~c1_1(X27))) | (~c2_1(X27)))))) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp25) | hskp26)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | hskp27) | hskp26)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | hskp27) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | hskp8) | hskp9)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c1_1(X33) | c3_1(X33)) | (~c0_1(X33))))) | hskp4)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp10)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37))))) | hskp11)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | hskp27) | hskp12)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | (~c0_1(X40))) | (~c3_1(X40))))) | hskp13)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | (~c0_1(X41)))) | hskp2) | hskp14)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c3_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c2_1(X43) | (~c0_1(X43))) | (~c3_1(X43))))) | hskp15)) & (![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => (((~c0_1(X45)) | (~c2_1(X45))) | (~c3_1(X45)))))) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c3_1(X46)) | (~c2_1(X46)))) | hskp6) | hskp26)) & (![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | hskp7)) & ((![X48: $i] : (ndr1_0 => ((c2_1(X48) | c3_1(X48)) | (~c0_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c2_1(X49) | c3_1(X49)) | (~c1_1(X49))))) | ![X50: $i] : (ndr1_0 => (((~c0_1(X50)) | (~c2_1(X50))) | (~c3_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c0_1(X51)))) | hskp26) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c2_1(X52) | (~c0_1(X52))) | (~c3_1(X52)))) | hskp17) | hskp18)) & ((![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c1_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => (((~c0_1(X54)) | (~c1_1(X54))) | (~c2_1(X54))))) | hskp19)) & ((![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c1_1(X55))) | (~c3_1(X55)))) | hskp9) | hskp24)) & ((![X56: $i] : (ndr1_0 => ((c3_1(X56) | (~c0_1(X56))) | (~c2_1(X56)))) | hskp26) | hskp20)) & ((![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c2_1(X57)))) | hskp6) | hskp10)) & ((hskp25 | hskp17) | hskp21)) & ((hskp6 | hskp26) | hskp22)) & ((hskp17 | hskp8) | hskp4)) & ((hskp7 | hskp9) | hskp13)) & ((hskp24 | hskp23) | hskp0)))) <=> (~(~(((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) & ((~hskp1) | (ndr1_0 & c2_1(a2) & (~c0_1(a2)) & (~c3_1(a2)))) & ((~hskp2) | (ndr1_0 & c1_1(a4) & (~c2_1(a4)) & (~c3_1(a4)))) & ((~hskp3) | (ndr1_0 & (~c1_1(a5)) & (~c2_1(a5)) & (~c3_1(a5)))) & ((~hskp4) | (ndr1_0 & c1_1(a6) & c3_1(a6) & (~c2_1(a6)))) & ((~hskp5) | (ndr1_0 & c1_1(a7) & c3_1(a7) & (~c0_1(a7)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & c1_1(a8) & (~c2_1(a8)))) & ((~hskp7) | (ndr1_0 & c0_1(a14) & c3_1(a14) & (~c2_1(a14)))) & ((~hskp8) | (ndr1_0 & c0_1(a15) & (~c1_1(a15)) & (~c2_1(a15)))) & ((~hskp9) | (ndr1_0 & c0_1(a16) & (~c2_1(a16)) & (~c3_1(a16)))) & ((~hskp10) | (ndr1_0 & c0_1(a18) & c2_1(a18) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & (~c0_1(a21)) & (~c1_1(a21)) & (~c2_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & c2_1(a24) & (~c0_1(a24)) & (~c1_1(a24)))) & ((~hskp15) | (ndr1_0 & c0_1(a25) & c1_1(a25) & (~c3_1(a25)))) & ((~hskp16) | (ndr1_0 & c1_1(a30) & (~c0_1(a30)) & (~c2_1(a30)))) & ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a32)) & (~c1_1(a32)) & (~c3_1(a32)))) & ((~hskp19) | (ndr1_0 & c2_1(a33) & c3_1(a33) & (~c0_1(a33)))) & ((~hskp20) | (ndr1_0 & c1_1(a37) & (~c0_1(a37)) & (~c3_1(a37)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c1_1(a42)))) & ((~hskp22) | (ndr1_0 & c0_1(a45) & (~c1_1(a45)) & (~c3_1(a45)))) & ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) & ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) & ((~hskp25) | (ndr1_0 & c0_1(a9) & c1_1(a9) & c2_1(a9))) & ((~hskp26) | (ndr1_0 & c0_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp27) | (ndr1_0 & c0_1(a11) & c1_1(a11) & c3_1(a11))) & (![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] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c1_1(Y) | (~c2_1(Y)) | (~c0_1(Y)) | (~ndr1_0))) & (![Z: $i] : (c1_1(Z) | c0_1(Z) | c3_1(Z) | (~ndr1_0)) | ![X1: $i] : (c0_1(X1) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (hskp1 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c1_1(X3) | (~c3_1(X3)) | (~c2_1(X3)) | (~ndr1_0))) & (hskp24 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | c3_1(X4) | (~ndr1_0)) | ![X5: $i] : (c3_1(X5) | (~c0_1(X5)) | (~c1_1(X5)) | (~ndr1_0))) & (![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c0_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | (~c2_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c1_1(X10) | c3_1(X10) | (~c0_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0))) & (hskp4 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c1_1(X14) | (~c0_1(X14)) | (~ndr1_0))) & (![X15: $i] : (c2_1(X15) | c0_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c2_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | c1_1(X17) | c3_1(X17) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | c3_1(X19) | (~c0_1(X19)) | (~ndr1_0))) & (hskp5 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c3_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp6 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c3_1(X23)) | (~ndr1_0)) | ![X24: $i] : ((~c3_1(X24)) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))) & (![X27: $i] : ((~c2_1(X27)) | (~c0_1(X27)) | (~c1_1(X27)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c2_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X29: $i] : (c0_1(X29) | (~c2_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp27 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | (~c1_1(X30)) | (~ndr1_0))) & (hskp8 | hskp9 | ![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp4 | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c1_1(X33) | c3_1(X33) | (~c0_1(X33)) | (~ndr1_0))) & (hskp10 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c3_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) & (hskp12 | hskp27 | ![X38: $i] : (c0_1(X38) | (~c3_1(X38)) | (~c2_1(X38)) | (~ndr1_0))) & (hskp13 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : (c1_1(X40) | (~c3_1(X40)) | (~c0_1(X40)) | (~ndr1_0))) & (hskp2 | hskp14 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c3_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | (~c3_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)) | ![X45: $i] : ((~c3_1(X45)) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp6 | hskp26 | ![X46: $i] : (c1_1(X46) | c3_1(X46) | (~c2_1(X46)) | (~ndr1_0))) & (hskp7 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c2_1(X47)) | (~ndr1_0))) & (![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c3_1(X48) | (~c0_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))) & (hskp16 | hskp26 | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c0_1(X51)) | (~ndr1_0))) & (hskp17 | hskp18 | ![X52: $i] : (c2_1(X52) | (~c3_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp19 | ![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0)) | ![X54: $i] : ((~c2_1(X54)) | (~c0_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp9 | hskp24 | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp20 | hskp26 | ![X56: $i] : (c3_1(X56) | (~c2_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp6 | hskp10 | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c1_1(X57)) | (~ndr1_0))) & (hskp17 | hskp21 | hskp25) & (hskp6 | hskp22 | hskp26) & (hskp4 | hskp8 | hskp17) & (hskp7 | hskp9 | hskp13) & (hskp0 | hskp23 | hskp24))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[11])).
% 0.20/0.53 tff(13,plain,
% 0.20/0.53 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c3_1(a1)) & (~c0_1(a1))) & (~c2_1(a1)))) & ((~hskp1) | (((ndr1_0 & c2_1(a2)) & (~c0_1(a2))) & (~c3_1(a2))))) & ((~hskp2) | (((ndr1_0 & c1_1(a4)) & (~c2_1(a4))) & (~c3_1(a4))))) & ((~hskp3) | (((ndr1_0 & (~c1_1(a5))) & (~c2_1(a5))) & (~c3_1(a5))))) & ((~hskp4) | (((ndr1_0 & c1_1(a6)) & c3_1(a6)) & (~c2_1(a6))))) & ((~hskp5) | (((ndr1_0 & c1_1(a7)) & c3_1(a7)) & (~c0_1(a7))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & c1_1(a8)) & (~c2_1(a8))))) & ((~hskp7) | (((ndr1_0 & c0_1(a14)) & c3_1(a14)) & (~c2_1(a14))))) & ((~hskp8) | (((ndr1_0 & c0_1(a15)) & (~c1_1(a15))) & (~c2_1(a15))))) & ((~hskp9) | (((ndr1_0 & c0_1(a16)) & (~c2_1(a16))) & (~c3_1(a16))))) & ((~hskp10) | (((ndr1_0 & c0_1(a18)) & c2_1(a18)) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c2_1(a19)) & (~c1_1(a19))) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & (~c0_1(a21))) & (~c1_1(a21))) & (~c2_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & c2_1(a24)) & (~c0_1(a24))) & (~c1_1(a24))))) & ((~hskp15) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & (~c3_1(a25))))) & ((~hskp16) | (((ndr1_0 & c1_1(a30)) & (~c0_1(a30))) & (~c2_1(a30))))) & ((~hskp17) | (((ndr1_0 & c0_1(a31)) & c2_1(a31)) & (~c1_1(a31))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a32))) & (~c1_1(a32))) & (~c3_1(a32))))) & ((~hskp19) | (((ndr1_0 & c2_1(a33)) & c3_1(a33)) & (~c0_1(a33))))) & ((~hskp20) | (((ndr1_0 & c1_1(a37)) & (~c0_1(a37))) & (~c3_1(a37))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c1_1(a42))))) & ((~hskp22) | (((ndr1_0 & c0_1(a45)) & (~c1_1(a45))) & (~c3_1(a45))))) & ((~hskp23) | (((ndr1_0 & c3_1(a53)) & (~c0_1(a53))) & (~c1_1(a53))))) & ((~hskp24) | (((ndr1_0 & c1_1(a3)) & c2_1(a3)) & c3_1(a3)))) & ((~hskp25) | (((ndr1_0 & c0_1(a9)) & c1_1(a9)) & c2_1(a9)))) & ((~hskp26) | (((ndr1_0 & c0_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp27) | (((ndr1_0 & c0_1(a11)) & c1_1(a11)) & c3_1(a11)))) & ((![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) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c1_1(Y) | (~c0_1(Y))) | (~c2_1(Y))))) | hskp0)) & (![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c3_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))) | ![X3: $i] : (ndr1_0 => ((c1_1(X3) | (~c2_1(X3))) | (~c3_1(X3))))) | hskp1)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | c3_1(X4))) | ![X5: $i] : (ndr1_0 => ((c3_1(X5) | (~c0_1(X5))) | (~c1_1(X5))))) | hskp24)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c0_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | ![X8: $i] : (ndr1_0 => ((c1_1(X8) | (~c2_1(X8))) | (~c3_1(X8)))))) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | (~c2_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c0_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c1_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | hskp2) | hskp3)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | ![X14: $i] : (ndr1_0 => ((c1_1(X14) | c2_1(X14)) | (~c0_1(X14))))) | hskp4)) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | c3_1(X15))) | ![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c2_1(X16))))) | ![X17: $i] : (ndr1_0 => ((c1_1(X17) | c2_1(X17)) | c3_1(X17))))) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c0_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | (~c1_1(X20))) | (~c3_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c3_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp5)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c3_1(X23)))) | ![X24: $i] : (ndr1_0 => (((~c1_1(X24)) | (~c2_1(X24))) | (~c3_1(X24))))) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c2_1(X26) | c3_1(X26)) | (~c1_1(X26))))) | ![X27: $i] : (ndr1_0 => (((~c0_1(X27)) | (~c1_1(X27))) | (~c2_1(X27)))))) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp25) | hskp26)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | hskp27) | hskp26)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | hskp27) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | hskp8) | hskp9)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c1_1(X33) | c3_1(X33)) | (~c0_1(X33))))) | hskp4)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp10)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37))))) | hskp11)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | hskp27) | hskp12)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | (~c0_1(X40))) | (~c3_1(X40))))) | hskp13)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | (~c0_1(X41)))) | hskp2) | hskp14)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c3_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c2_1(X43) | (~c0_1(X43))) | (~c3_1(X43))))) | hskp15)) & (![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => (((~c0_1(X45)) | (~c2_1(X45))) | (~c3_1(X45)))))) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c3_1(X46)) | (~c2_1(X46)))) | hskp6) | hskp26)) & (![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | hskp7)) & ((![X48: $i] : (ndr1_0 => ((c2_1(X48) | c3_1(X48)) | (~c0_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c2_1(X49) | c3_1(X49)) | (~c1_1(X49))))) | ![X50: $i] : (ndr1_0 => (((~c0_1(X50)) | (~c2_1(X50))) | (~c3_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c0_1(X51)))) | hskp26) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c2_1(X52) | (~c0_1(X52))) | (~c3_1(X52)))) | hskp17) | hskp18)) & ((![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c1_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => (((~c0_1(X54)) | (~c1_1(X54))) | (~c2_1(X54))))) | hskp19)) & ((![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c1_1(X55))) | (~c3_1(X55)))) | hskp9) | hskp24)) & ((![X56: $i] : (ndr1_0 => ((c3_1(X56) | (~c0_1(X56))) | (~c2_1(X56)))) | hskp26) | hskp20)) & ((![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c2_1(X57)))) | hskp6) | hskp10)) & ((hskp25 | hskp17) | hskp21)) & ((hskp6 | hskp26) | hskp22)) & ((hskp17 | hskp8) | hskp4)) & ((hskp7 | hskp9) | hskp13)) & ((hskp24 | hskp23) | hskp0)))) <=> (((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) & ((~hskp1) | (ndr1_0 & c2_1(a2) & (~c0_1(a2)) & (~c3_1(a2)))) & ((~hskp2) | (ndr1_0 & c1_1(a4) & (~c2_1(a4)) & (~c3_1(a4)))) & ((~hskp3) | (ndr1_0 & (~c1_1(a5)) & (~c2_1(a5)) & (~c3_1(a5)))) & ((~hskp4) | (ndr1_0 & c1_1(a6) & c3_1(a6) & (~c2_1(a6)))) & ((~hskp5) | (ndr1_0 & c1_1(a7) & c3_1(a7) & (~c0_1(a7)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & c1_1(a8) & (~c2_1(a8)))) & ((~hskp7) | (ndr1_0 & c0_1(a14) & c3_1(a14) & (~c2_1(a14)))) & ((~hskp8) | (ndr1_0 & c0_1(a15) & (~c1_1(a15)) & (~c2_1(a15)))) & ((~hskp9) | (ndr1_0 & c0_1(a16) & (~c2_1(a16)) & (~c3_1(a16)))) & ((~hskp10) | (ndr1_0 & c0_1(a18) & c2_1(a18) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & (~c0_1(a21)) & (~c1_1(a21)) & (~c2_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & c2_1(a24) & (~c0_1(a24)) & (~c1_1(a24)))) & ((~hskp15) | (ndr1_0 & c0_1(a25) & c1_1(a25) & (~c3_1(a25)))) & ((~hskp16) | (ndr1_0 & c1_1(a30) & (~c0_1(a30)) & (~c2_1(a30)))) & ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a32)) & (~c1_1(a32)) & (~c3_1(a32)))) & ((~hskp19) | (ndr1_0 & c2_1(a33) & c3_1(a33) & (~c0_1(a33)))) & ((~hskp20) | (ndr1_0 & c1_1(a37) & (~c0_1(a37)) & (~c3_1(a37)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c1_1(a42)))) & ((~hskp22) | (ndr1_0 & c0_1(a45) & (~c1_1(a45)) & (~c3_1(a45)))) & ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) & ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) & ((~hskp25) | (ndr1_0 & c0_1(a9) & c1_1(a9) & c2_1(a9))) & ((~hskp26) | (ndr1_0 & c0_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp27) | (ndr1_0 & c0_1(a11) & c1_1(a11) & c3_1(a11))) & (![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] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c1_1(Y) | (~c2_1(Y)) | (~c0_1(Y)) | (~ndr1_0))) & (![Z: $i] : (c1_1(Z) | c0_1(Z) | c3_1(Z) | (~ndr1_0)) | ![X1: $i] : (c0_1(X1) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (hskp1 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c1_1(X3) | (~c3_1(X3)) | (~c2_1(X3)) | (~ndr1_0))) & (hskp24 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | c3_1(X4) | (~ndr1_0)) | ![X5: $i] : (c3_1(X5) | (~c0_1(X5)) | (~c1_1(X5)) | (~ndr1_0))) & (![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c0_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | (~c2_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c1_1(X10) | c3_1(X10) | (~c0_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0))) & (hskp4 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c1_1(X14) | (~c0_1(X14)) | (~ndr1_0))) & (![X15: $i] : (c2_1(X15) | c0_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c2_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | c1_1(X17) | c3_1(X17) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | c3_1(X19) | (~c0_1(X19)) | (~ndr1_0))) & (hskp5 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c3_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp6 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c3_1(X23)) | (~ndr1_0)) | ![X24: $i] : ((~c3_1(X24)) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))) & (![X27: $i] : ((~c2_1(X27)) | (~c0_1(X27)) | (~c1_1(X27)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c2_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X29: $i] : (c0_1(X29) | (~c2_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp27 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | (~c1_1(X30)) | (~ndr1_0))) & (hskp8 | hskp9 | ![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp4 | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c1_1(X33) | c3_1(X33) | (~c0_1(X33)) | (~ndr1_0))) & (hskp10 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c3_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) & (hskp12 | hskp27 | ![X38: $i] : (c0_1(X38) | (~c3_1(X38)) | (~c2_1(X38)) | (~ndr1_0))) & (hskp13 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : (c1_1(X40) | (~c3_1(X40)) | (~c0_1(X40)) | (~ndr1_0))) & (hskp2 | hskp14 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c3_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | (~c3_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)) | ![X45: $i] : ((~c3_1(X45)) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp6 | hskp26 | ![X46: $i] : (c1_1(X46) | c3_1(X46) | (~c2_1(X46)) | (~ndr1_0))) & (hskp7 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c2_1(X47)) | (~ndr1_0))) & (![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c3_1(X48) | (~c0_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))) & (hskp16 | hskp26 | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c0_1(X51)) | (~ndr1_0))) & (hskp17 | hskp18 | ![X52: $i] : (c2_1(X52) | (~c3_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp19 | ![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0)) | ![X54: $i] : ((~c2_1(X54)) | (~c0_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp9 | hskp24 | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp20 | hskp26 | ![X56: $i] : (c3_1(X56) | (~c2_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp6 | hskp10 | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c1_1(X57)) | (~ndr1_0))) & (hskp17 | hskp21 | hskp25) & (hskp6 | hskp22 | hskp26) & (hskp4 | hskp8 | hskp17) & (hskp7 | hskp9 | hskp13) & (hskp0 | hskp23 | hskp24))),
% 0.20/0.54 inference(transitivity,[status(thm)],[12, 10])).
% 0.20/0.54 tff(14,axiom,(~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c3_1(a1)) & (~c0_1(a1))) & (~c2_1(a1)))) & ((~hskp1) | (((ndr1_0 & c2_1(a2)) & (~c0_1(a2))) & (~c3_1(a2))))) & ((~hskp2) | (((ndr1_0 & c1_1(a4)) & (~c2_1(a4))) & (~c3_1(a4))))) & ((~hskp3) | (((ndr1_0 & (~c1_1(a5))) & (~c2_1(a5))) & (~c3_1(a5))))) & ((~hskp4) | (((ndr1_0 & c1_1(a6)) & c3_1(a6)) & (~c2_1(a6))))) & ((~hskp5) | (((ndr1_0 & c1_1(a7)) & c3_1(a7)) & (~c0_1(a7))))) & ((~hskp6) | (((ndr1_0 & c0_1(a8)) & c1_1(a8)) & (~c2_1(a8))))) & ((~hskp7) | (((ndr1_0 & c0_1(a14)) & c3_1(a14)) & (~c2_1(a14))))) & ((~hskp8) | (((ndr1_0 & c0_1(a15)) & (~c1_1(a15))) & (~c2_1(a15))))) & ((~hskp9) | (((ndr1_0 & c0_1(a16)) & (~c2_1(a16))) & (~c3_1(a16))))) & ((~hskp10) | (((ndr1_0 & c0_1(a18)) & c2_1(a18)) & (~c3_1(a18))))) & ((~hskp11) | (((ndr1_0 & c2_1(a19)) & (~c1_1(a19))) & (~c3_1(a19))))) & ((~hskp12) | (((ndr1_0 & (~c0_1(a21))) & (~c1_1(a21))) & (~c2_1(a21))))) & ((~hskp13) | (((ndr1_0 & (~c0_1(a22))) & (~c2_1(a22))) & (~c3_1(a22))))) & ((~hskp14) | (((ndr1_0 & c2_1(a24)) & (~c0_1(a24))) & (~c1_1(a24))))) & ((~hskp15) | (((ndr1_0 & c0_1(a25)) & c1_1(a25)) & (~c3_1(a25))))) & ((~hskp16) | (((ndr1_0 & c1_1(a30)) & (~c0_1(a30))) & (~c2_1(a30))))) & ((~hskp17) | (((ndr1_0 & c0_1(a31)) & c2_1(a31)) & (~c1_1(a31))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a32))) & (~c1_1(a32))) & (~c3_1(a32))))) & ((~hskp19) | (((ndr1_0 & c2_1(a33)) & c3_1(a33)) & (~c0_1(a33))))) & ((~hskp20) | (((ndr1_0 & c1_1(a37)) & (~c0_1(a37))) & (~c3_1(a37))))) & ((~hskp21) | (((ndr1_0 & c2_1(a42)) & c3_1(a42)) & (~c1_1(a42))))) & ((~hskp22) | (((ndr1_0 & c0_1(a45)) & (~c1_1(a45))) & (~c3_1(a45))))) & ((~hskp23) | (((ndr1_0 & c3_1(a53)) & (~c0_1(a53))) & (~c1_1(a53))))) & ((~hskp24) | (((ndr1_0 & c1_1(a3)) & c2_1(a3)) & c3_1(a3)))) & ((~hskp25) | (((ndr1_0 & c0_1(a9)) & c1_1(a9)) & c2_1(a9)))) & ((~hskp26) | (((ndr1_0 & c0_1(a10)) & c2_1(a10)) & c3_1(a10)))) & ((~hskp27) | (((ndr1_0 & c0_1(a11)) & c1_1(a11)) & c3_1(a11)))) & ((![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) | c2_1(W)) | (~c3_1(W)))))) & ((![X: $i] : (ndr1_0 => ((c0_1(X) | c1_1(X)) | c2_1(X))) | ![Y: $i] : (ndr1_0 => ((c1_1(Y) | (~c0_1(Y))) | (~c2_1(Y))))) | hskp0)) & (![Z: $i] : (ndr1_0 => ((c0_1(Z) | c1_1(Z)) | c3_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))) | ![X3: $i] : (ndr1_0 => ((c1_1(X3) | (~c2_1(X3))) | (~c3_1(X3))))) | hskp1)) & ((![X4: $i] : (ndr1_0 => ((c0_1(X4) | c1_1(X4)) | c3_1(X4))) | ![X5: $i] : (ndr1_0 => ((c3_1(X5) | (~c0_1(X5))) | (~c1_1(X5))))) | hskp24)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c2_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c0_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | ![X8: $i] : (ndr1_0 => ((c1_1(X8) | (~c2_1(X8))) | (~c3_1(X8)))))) & ((![X9: $i] : (ndr1_0 => ((c0_1(X9) | c1_1(X9)) | (~c2_1(X9)))) | ![X10: $i] : (ndr1_0 => ((c1_1(X10) | c3_1(X10)) | (~c0_1(X10))))) | ![X11: $i] : (ndr1_0 => ((c2_1(X11) | c3_1(X11)) | (~c1_1(X11)))))) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | hskp2) | hskp3)) & ((![X13: $i] : (ndr1_0 => ((c0_1(X13) | c1_1(X13)) | (~c3_1(X13)))) | ![X14: $i] : (ndr1_0 => ((c1_1(X14) | c2_1(X14)) | (~c0_1(X14))))) | hskp4)) & ((![X15: $i] : (ndr1_0 => ((c0_1(X15) | c2_1(X15)) | c3_1(X15))) | ![X16: $i] : (ndr1_0 => ((c0_1(X16) | c3_1(X16)) | (~c2_1(X16))))) | ![X17: $i] : (ndr1_0 => ((c1_1(X17) | c2_1(X17)) | c3_1(X17))))) & ((![X18: $i] : (ndr1_0 => ((c0_1(X18) | c2_1(X18)) | c3_1(X18))) | ![X19: $i] : (ndr1_0 => ((c1_1(X19) | c3_1(X19)) | (~c0_1(X19))))) | ![X20: $i] : (ndr1_0 => ((c2_1(X20) | (~c1_1(X20))) | (~c3_1(X20)))))) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c1_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c3_1(X22) | (~c1_1(X22))) | (~c2_1(X22))))) | hskp5)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c2_1(X23)) | (~c3_1(X23)))) | ![X24: $i] : (ndr1_0 => (((~c1_1(X24)) | (~c2_1(X24))) | (~c3_1(X24))))) | hskp6)) & ((![X25: $i] : (ndr1_0 => ((c0_1(X25) | c3_1(X25)) | (~c2_1(X25)))) | ![X26: $i] : (ndr1_0 => ((c2_1(X26) | c3_1(X26)) | (~c1_1(X26))))) | ![X27: $i] : (ndr1_0 => (((~c0_1(X27)) | (~c1_1(X27))) | (~c2_1(X27)))))) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c2_1(X28)))) | hskp25) | hskp26)) & ((![X29: $i] : (ndr1_0 => ((c0_1(X29) | (~c1_1(X29))) | (~c2_1(X29)))) | hskp27) | hskp26)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | (~c1_1(X30))) | (~c2_1(X30)))) | hskp27) | hskp7)) & ((![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c2_1(X31)))) | hskp8) | hskp9)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | (~c1_1(X32))) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c1_1(X33) | c3_1(X33)) | (~c0_1(X33))))) | hskp4)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | hskp10)) & ((![X36: $i] : (ndr1_0 => ((c0_1(X36) | (~c2_1(X36))) | (~c3_1(X36)))) | ![X37: $i] : (ndr1_0 => ((c3_1(X37) | (~c0_1(X37))) | (~c2_1(X37))))) | hskp11)) & ((![X38: $i] : (ndr1_0 => ((c0_1(X38) | (~c2_1(X38))) | (~c3_1(X38)))) | hskp27) | hskp12)) & ((![X39: $i] : (ndr1_0 => ((c1_1(X39) | c2_1(X39)) | (~c0_1(X39)))) | ![X40: $i] : (ndr1_0 => ((c1_1(X40) | (~c0_1(X40))) | (~c3_1(X40))))) | hskp13)) & ((![X41: $i] : (ndr1_0 => ((c1_1(X41) | c2_1(X41)) | (~c0_1(X41)))) | hskp2) | hskp14)) & ((![X42: $i] : (ndr1_0 => ((c1_1(X42) | c2_1(X42)) | (~c3_1(X42)))) | ![X43: $i] : (ndr1_0 => ((c2_1(X43) | (~c0_1(X43))) | (~c3_1(X43))))) | hskp15)) & (![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c2_1(X44)))) | ![X45: $i] : (ndr1_0 => (((~c0_1(X45)) | (~c2_1(X45))) | (~c3_1(X45)))))) & ((![X46: $i] : (ndr1_0 => ((c1_1(X46) | c3_1(X46)) | (~c2_1(X46)))) | hskp6) | hskp26)) & (![X47: $i] : (ndr1_0 => ((c1_1(X47) | c3_1(X47)) | (~c2_1(X47)))) | hskp7)) & ((![X48: $i] : (ndr1_0 => ((c2_1(X48) | c3_1(X48)) | (~c0_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c2_1(X49) | c3_1(X49)) | (~c1_1(X49))))) | ![X50: $i] : (ndr1_0 => (((~c0_1(X50)) | (~c2_1(X50))) | (~c3_1(X50)))))) & ((![X51: $i] : (ndr1_0 => ((c2_1(X51) | c3_1(X51)) | (~c0_1(X51)))) | hskp26) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c2_1(X52) | (~c0_1(X52))) | (~c3_1(X52)))) | hskp17) | hskp18)) & ((![X53: $i] : (ndr1_0 => ((c2_1(X53) | (~c1_1(X53))) | (~c3_1(X53)))) | ![X54: $i] : (ndr1_0 => (((~c0_1(X54)) | (~c1_1(X54))) | (~c2_1(X54))))) | hskp19)) & ((![X55: $i] : (ndr1_0 => ((c2_1(X55) | (~c1_1(X55))) | (~c3_1(X55)))) | hskp9) | hskp24)) & ((![X56: $i] : (ndr1_0 => ((c3_1(X56) | (~c0_1(X56))) | (~c2_1(X56)))) | hskp26) | hskp20)) & ((![X57: $i] : (ndr1_0 => (((~c0_1(X57)) | (~c1_1(X57))) | (~c2_1(X57)))) | hskp6) | hskp10)) & ((hskp25 | hskp17) | hskp21)) & ((hskp6 | hskp26) | hskp22)) & ((hskp17 | hskp8) | hskp4)) & ((hskp7 | hskp9) | hskp13)) & ((hskp24 | hskp23) | hskp0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co1')).
% 0.20/0.54 tff(15,plain,
% 0.20/0.54 (((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) & ((~hskp1) | (ndr1_0 & c2_1(a2) & (~c0_1(a2)) & (~c3_1(a2)))) & ((~hskp2) | (ndr1_0 & c1_1(a4) & (~c2_1(a4)) & (~c3_1(a4)))) & ((~hskp3) | (ndr1_0 & (~c1_1(a5)) & (~c2_1(a5)) & (~c3_1(a5)))) & ((~hskp4) | (ndr1_0 & c1_1(a6) & c3_1(a6) & (~c2_1(a6)))) & ((~hskp5) | (ndr1_0 & c1_1(a7) & c3_1(a7) & (~c0_1(a7)))) & ((~hskp6) | (ndr1_0 & c0_1(a8) & c1_1(a8) & (~c2_1(a8)))) & ((~hskp7) | (ndr1_0 & c0_1(a14) & c3_1(a14) & (~c2_1(a14)))) & ((~hskp8) | (ndr1_0 & c0_1(a15) & (~c1_1(a15)) & (~c2_1(a15)))) & ((~hskp9) | (ndr1_0 & c0_1(a16) & (~c2_1(a16)) & (~c3_1(a16)))) & ((~hskp10) | (ndr1_0 & c0_1(a18) & c2_1(a18) & (~c3_1(a18)))) & ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) & ((~hskp12) | (ndr1_0 & (~c0_1(a21)) & (~c1_1(a21)) & (~c2_1(a21)))) & ((~hskp13) | (ndr1_0 & (~c0_1(a22)) & (~c2_1(a22)) & (~c3_1(a22)))) & ((~hskp14) | (ndr1_0 & c2_1(a24) & (~c0_1(a24)) & (~c1_1(a24)))) & ((~hskp15) | (ndr1_0 & c0_1(a25) & c1_1(a25) & (~c3_1(a25)))) & ((~hskp16) | (ndr1_0 & c1_1(a30) & (~c0_1(a30)) & (~c2_1(a30)))) & ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a32)) & (~c1_1(a32)) & (~c3_1(a32)))) & ((~hskp19) | (ndr1_0 & c2_1(a33) & c3_1(a33) & (~c0_1(a33)))) & ((~hskp20) | (ndr1_0 & c1_1(a37) & (~c0_1(a37)) & (~c3_1(a37)))) & ((~hskp21) | (ndr1_0 & c2_1(a42) & c3_1(a42) & (~c1_1(a42)))) & ((~hskp22) | (ndr1_0 & c0_1(a45) & (~c1_1(a45)) & (~c3_1(a45)))) & ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))) & ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) & ((~hskp25) | (ndr1_0 & c0_1(a9) & c1_1(a9) & c2_1(a9))) & ((~hskp26) | (ndr1_0 & c0_1(a10) & c2_1(a10) & c3_1(a10))) & ((~hskp27) | (ndr1_0 & c0_1(a11) & c1_1(a11) & c3_1(a11))) & (![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] : (c2_1(W) | c0_1(W) | (~c3_1(W)) | (~ndr1_0))) & (hskp0 | ![X: $i] : (c2_1(X) | c1_1(X) | c0_1(X) | (~ndr1_0)) | ![Y: $i] : (c1_1(Y) | (~c2_1(Y)) | (~c0_1(Y)) | (~ndr1_0))) & (![Z: $i] : (c1_1(Z) | c0_1(Z) | c3_1(Z) | (~ndr1_0)) | ![X1: $i] : (c0_1(X1) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (hskp1 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c1_1(X3) | (~c3_1(X3)) | (~c2_1(X3)) | (~ndr1_0))) & (hskp24 | ![X4: $i] : (c1_1(X4) | c0_1(X4) | c3_1(X4) | (~ndr1_0)) | ![X5: $i] : (c3_1(X5) | (~c0_1(X5)) | (~c1_1(X5)) | (~ndr1_0))) & (![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c2_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c0_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0)) | ![X8: $i] : (c1_1(X8) | (~c3_1(X8)) | (~c2_1(X8)) | (~ndr1_0))) & (![X9: $i] : (c1_1(X9) | c0_1(X9) | (~c2_1(X9)) | (~ndr1_0)) | ![X10: $i] : (c1_1(X10) | c3_1(X10) | (~c0_1(X10)) | (~ndr1_0)) | ![X11: $i] : (c2_1(X11) | c3_1(X11) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0))) & (hskp4 | ![X13: $i] : (c1_1(X13) | c0_1(X13) | (~c3_1(X13)) | (~ndr1_0)) | ![X14: $i] : (c2_1(X14) | c1_1(X14) | (~c0_1(X14)) | (~ndr1_0))) & (![X15: $i] : (c2_1(X15) | c0_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : (c0_1(X16) | c3_1(X16) | (~c2_1(X16)) | (~ndr1_0)) | ![X17: $i] : (c2_1(X17) | c1_1(X17) | c3_1(X17) | (~ndr1_0))) & (![X20: $i] : (c2_1(X20) | (~c3_1(X20)) | (~c1_1(X20)) | (~ndr1_0)) | ![X18: $i] : (c2_1(X18) | c0_1(X18) | c3_1(X18) | (~ndr1_0)) | ![X19: $i] : (c1_1(X19) | c3_1(X19) | (~c0_1(X19)) | (~ndr1_0))) & (hskp5 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c1_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c3_1(X22) | (~c2_1(X22)) | (~c1_1(X22)) | (~ndr1_0))) & (hskp6 | ![X23: $i] : (c2_1(X23) | c0_1(X23) | (~c3_1(X23)) | (~ndr1_0)) | ![X24: $i] : ((~c3_1(X24)) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))) & (![X27: $i] : ((~c2_1(X27)) | (~c0_1(X27)) | (~c1_1(X27)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | c3_1(X25) | (~c2_1(X25)) | (~ndr1_0)) | ![X26: $i] : (c2_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c2_1(X28)) | (~ndr1_0))) & (hskp26 | hskp27 | ![X29: $i] : (c0_1(X29) | (~c2_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp7 | hskp27 | ![X30: $i] : (c0_1(X30) | (~c2_1(X30)) | (~c1_1(X30)) | (~ndr1_0))) & (hskp8 | hskp9 | ![X31: $i] : (c0_1(X31) | (~c2_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp4 | ![X32: $i] : (c0_1(X32) | (~c3_1(X32)) | (~c1_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c1_1(X33) | c3_1(X33) | (~c0_1(X33)) | (~ndr1_0))) & (hskp10 | ![X34: $i] : (c0_1(X34) | (~c3_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c3_1(X35)) | (~c2_1(X35)) | (~ndr1_0))) & (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) & (hskp12 | hskp27 | ![X38: $i] : (c0_1(X38) | (~c3_1(X38)) | (~c2_1(X38)) | (~ndr1_0))) & (hskp13 | ![X39: $i] : (c2_1(X39) | c1_1(X39) | (~c0_1(X39)) | (~ndr1_0)) | ![X40: $i] : (c1_1(X40) | (~c3_1(X40)) | (~c0_1(X40)) | (~ndr1_0))) & (hskp2 | hskp14 | ![X41: $i] : (c2_1(X41) | c1_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp15 | ![X42: $i] : (c2_1(X42) | c1_1(X42) | (~c3_1(X42)) | (~ndr1_0)) | ![X43: $i] : (c2_1(X43) | (~c3_1(X43)) | (~c0_1(X43)) | (~ndr1_0))) & (![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)) | ![X45: $i] : ((~c3_1(X45)) | (~c2_1(X45)) | (~c0_1(X45)) | (~ndr1_0))) & (hskp6 | hskp26 | ![X46: $i] : (c1_1(X46) | c3_1(X46) | (~c2_1(X46)) | (~ndr1_0))) & (hskp7 | ![X47: $i] : (c1_1(X47) | c3_1(X47) | (~c2_1(X47)) | (~ndr1_0))) & (![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c3_1(X48) | (~c0_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))) & (hskp16 | hskp26 | ![X51: $i] : (c2_1(X51) | c3_1(X51) | (~c0_1(X51)) | (~ndr1_0))) & (hskp17 | hskp18 | ![X52: $i] : (c2_1(X52) | (~c3_1(X52)) | (~c0_1(X52)) | (~ndr1_0))) & (hskp19 | ![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0)) | ![X54: $i] : ((~c2_1(X54)) | (~c0_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp9 | hskp24 | ![X55: $i] : (c2_1(X55) | (~c3_1(X55)) | (~c1_1(X55)) | (~ndr1_0))) & (hskp20 | hskp26 | ![X56: $i] : (c3_1(X56) | (~c2_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (hskp6 | hskp10 | ![X57: $i] : ((~c2_1(X57)) | (~c0_1(X57)) | (~c1_1(X57)) | (~ndr1_0))) & (hskp17 | hskp21 | hskp25) & (hskp6 | hskp22 | hskp26) & (hskp4 | hskp8 | hskp17) & (hskp7 | hskp9 | hskp13) & (hskp0 | hskp23 | hskp24)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.55 tff(16,plain,
% 0.20/0.55 ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))),
% 0.20/0.55 inference(and_elim,[status(thm)],[15])).
% 0.20/0.55 tff(17,plain,
% 0.20/0.55 ((~hskp23) | (ndr1_0 & c3_1(a53) & (~c0_1(a53)) & (~c1_1(a53)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.20/0.55 tff(18,plain,
% 0.20/0.55 ((~hskp23) | (~(c0_1(a53) | c1_1(a53) | (~ndr1_0) | (~c3_1(a53))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[17, 8])).
% 0.20/0.55 tff(19,plain,
% 0.20/0.55 (~hskp23),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[18, 7])).
% 0.20/0.55 tff(20,plain,
% 0.20/0.55 ((c0_1(a1) | c2_1(a1) | (~ndr1_0) | (~c3_1(a1))) | ndr1_0),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(21,plain,
% 0.20/0.55 (c0_1(a1) | c2_1(a1) | (~ndr1_0) | (~c3_1(a1))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[20, 5])).
% 0.20/0.55 tff(22,plain,
% 0.20/0.55 (((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) <=> ((~hskp0) | (~(c0_1(a1) | c2_1(a1) | (~ndr1_0) | (~c3_1(a1)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(23,plain,
% 0.20/0.55 (((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))) <=> ((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(24,plain,
% 0.20/0.55 ((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))),
% 0.20/0.55 inference(and_elim,[status(thm)],[15])).
% 0.20/0.55 tff(25,plain,
% 0.20/0.55 ((~hskp0) | (ndr1_0 & c3_1(a1) & (~c0_1(a1)) & (~c2_1(a1)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.55 tff(26,plain,
% 0.20/0.55 ((~hskp0) | (~(c0_1(a1) | c2_1(a1) | (~ndr1_0) | (~c3_1(a1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[25, 22])).
% 0.20/0.55 tff(27,plain,
% 0.20/0.55 (~hskp0),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[26, 21])).
% 0.20/0.55 tff(28,plain,
% 0.20/0.55 (((~ndr1_0) | (~c1_1(a3)) | (~c2_1(a3)) | (~c3_1(a3))) | ndr1_0),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(29,plain,
% 0.20/0.55 ((~ndr1_0) | (~c1_1(a3)) | (~c2_1(a3)) | (~c3_1(a3))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[28, 5])).
% 0.20/0.55 tff(30,plain,
% 0.20/0.55 (((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) <=> ((~hskp24) | (~((~ndr1_0) | (~c1_1(a3)) | (~c2_1(a3)) | (~c3_1(a3)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(31,plain,
% 0.20/0.55 (((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))) <=> ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(32,plain,
% 0.20/0.55 ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))),
% 0.20/0.55 inference(and_elim,[status(thm)],[15])).
% 0.20/0.55 tff(33,plain,
% 0.20/0.55 ((~hskp24) | (ndr1_0 & c1_1(a3) & c2_1(a3) & c3_1(a3))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.55 tff(34,plain,
% 0.20/0.55 ((~hskp24) | (~((~ndr1_0) | (~c1_1(a3)) | (~c2_1(a3)) | (~c3_1(a3))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[33, 30])).
% 0.20/0.55 tff(35,plain,
% 0.20/0.55 (~hskp24),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[34, 29])).
% 0.20/0.55 tff(36,plain,
% 0.20/0.55 ((hskp0 | hskp23 | hskp24) <=> (hskp0 | hskp23 | hskp24)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(37,plain,
% 0.20/0.55 (hskp0 | hskp23 | hskp24),
% 0.20/0.55 inference(and_elim,[status(thm)],[15])).
% 0.20/0.55 tff(38,plain,
% 0.20/0.55 (hskp0 | hskp23 | hskp24),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.20/0.55 tff(39,plain,
% 0.20/0.55 ($false),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[38, 35, 27, 19])).
% 0.20/0.55 tff(40,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.20/0.55 tff(41,assumption,(~(c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)))), introduced(assumption)).
% 0.20/0.55 tff(42,plain,
% 0.20/0.55 ((c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))) | c2_1(a31)),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(43,plain,
% 0.20/0.55 (c2_1(a31)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.20/0.55 tff(44,plain,
% 0.20/0.55 ((c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))) | (~c1_1(a31))),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(45,plain,
% 0.20/0.55 (~c1_1(a31)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[44, 41])).
% 0.20/0.55 tff(46,assumption,(ndr1_0), introduced(assumption)).
% 0.20/0.55 tff(47,plain,
% 0.20/0.55 (((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a31) | (~ndr1_0) | (~c2_1(a31)) | c3_1(a31))) <=> ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | c1_1(a31) | (~ndr1_0) | (~c2_1(a31)) | c3_1(a31))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(48,plain,
% 0.20/0.55 ((c1_1(a31) | c3_1(a31) | (~c2_1(a31)) | (~ndr1_0)) <=> (c1_1(a31) | (~ndr1_0) | (~c2_1(a31)) | c3_1(a31))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(49,plain,
% 0.20/0.55 (((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a31) | c3_1(a31) | (~c2_1(a31)) | (~ndr1_0))) <=> ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a31) | (~ndr1_0) | (~c2_1(a31)) | c3_1(a31)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[48])).
% 0.20/0.55 tff(50,plain,
% 0.20/0.55 (((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a31) | c3_1(a31) | (~c2_1(a31)) | (~ndr1_0))) <=> ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | c1_1(a31) | (~ndr1_0) | (~c2_1(a31)) | c3_1(a31))),
% 0.20/0.55 inference(transitivity,[status(thm)],[49, 47])).
% 0.20/0.55 tff(51,plain,
% 0.20/0.55 ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a31) | c3_1(a31) | (~c2_1(a31)) | (~ndr1_0))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(52,plain,
% 0.20/0.55 ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | c1_1(a31) | (~ndr1_0) | (~c2_1(a31)) | c3_1(a31)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.20/0.55 tff(53,plain,
% 0.20/0.55 (c3_1(a31)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[52, 46, 45, 43, 4])).
% 0.20/0.55 tff(54,plain,
% 0.20/0.55 ((c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))) | c0_1(a31)),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(55,plain,
% 0.20/0.55 (c0_1(a31)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[54, 41])).
% 0.20/0.55 tff(56,plain,
% 0.20/0.55 (((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | ((~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)) | (~c3_1(a31)))) <=> ((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)) | (~c3_1(a31)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(57,plain,
% 0.20/0.55 (((~c3_1(a31)) | (~c2_1(a31)) | (~c0_1(a31)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)) | (~c3_1(a31)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(58,plain,
% 0.20/0.55 (((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | ((~c3_1(a31)) | (~c2_1(a31)) | (~c0_1(a31)) | (~ndr1_0))) <=> ((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | ((~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)) | (~c3_1(a31))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[57])).
% 0.20/0.55 tff(59,plain,
% 0.20/0.55 (((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | ((~c3_1(a31)) | (~c2_1(a31)) | (~c0_1(a31)) | (~ndr1_0))) <=> ((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)) | (~c3_1(a31)))),
% 0.20/0.55 inference(transitivity,[status(thm)],[58, 56])).
% 0.20/0.55 tff(60,plain,
% 0.20/0.55 ((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | ((~c3_1(a31)) | (~c2_1(a31)) | (~c0_1(a31)) | (~ndr1_0))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(61,plain,
% 0.20/0.55 ((~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)) | (~c3_1(a31))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.55 tff(62,plain,
% 0.20/0.55 ($false),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[61, 46, 55, 43, 2, 53])).
% 0.20/0.55 tff(63,plain,((c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))) | (~ndr1_0) | (~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | (~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.55 tff(64,plain,
% 0.20/0.55 ((c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))) | (~![X50: $i] : ((~c3_1(X50)) | (~c2_1(X50)) | (~c0_1(X50)) | (~ndr1_0))) | (~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[63, 40])).
% 0.20/0.55 tff(65,plain,
% 0.20/0.55 (c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[64, 2, 4])).
% 0.20/0.55 tff(66,plain,
% 0.20/0.55 (((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) <=> ((~hskp17) | (~(c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(67,plain,
% 0.20/0.55 (((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))) <=> ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(68,plain,
% 0.20/0.55 ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))),
% 0.20/0.55 inference(and_elim,[status(thm)],[15])).
% 0.20/0.55 tff(69,plain,
% 0.20/0.55 ((~hskp17) | (ndr1_0 & c0_1(a31) & c2_1(a31) & (~c1_1(a31)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.20/0.55 tff(70,plain,
% 0.20/0.55 ((~hskp17) | (~(c1_1(a31) | (~ndr1_0) | (~c0_1(a31)) | (~c2_1(a31))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[69, 66])).
% 0.20/0.55 tff(71,plain,
% 0.20/0.55 (~hskp17),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[70, 65])).
% 0.20/0.55 tff(72,assumption,(~![X53: $i] : (c2_1(X53) | (~c3_1(X53)) | (~c1_1(X53)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.55 tff(73,assumption,(~![X49: $i] : (c2_1(X49) | c3_1(X49) | (~c1_1(X49)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.55 tff(74,assumption,(~(c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33)))), introduced(assumption)).
% 0.20/0.55 tff(75,plain,
% 0.20/0.55 ((c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))) | c2_1(a33)),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(76,plain,
% 0.20/0.55 (c2_1(a33)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.20/0.55 tff(77,plain,
% 0.20/0.55 ((c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))) | (~c0_1(a33))),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(78,plain,
% 0.20/0.55 (~c0_1(a33)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[77, 74])).
% 0.20/0.55 tff(79,assumption,(~(c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19)))), introduced(assumption)).
% 0.20/0.55 tff(80,plain,
% 0.20/0.55 ((c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))) | c2_1(a19)),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(81,plain,
% 0.20/0.55 (c2_1(a19)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.20/0.55 tff(82,plain,
% 0.20/0.55 ((c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))) | (~c3_1(a19))),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(83,plain,
% 0.20/0.55 (~c3_1(a19)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[82, 79])).
% 0.20/0.55 tff(84,plain,
% 0.20/0.55 ((c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))) | (~c1_1(a19))),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(85,plain,
% 0.20/0.55 (~c1_1(a19)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[84, 79])).
% 0.20/0.55 tff(86,plain,
% 0.20/0.55 (((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19)))) <=> ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(87,plain,
% 0.20/0.55 ((c1_1(a19) | c3_1(a19) | (~c2_1(a19)) | (~ndr1_0)) <=> (c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(88,plain,
% 0.20/0.55 (((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a19) | c3_1(a19) | (~c2_1(a19)) | (~ndr1_0))) <=> ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[87])).
% 0.20/0.55 tff(89,plain,
% 0.20/0.55 (((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a19) | c3_1(a19) | (~c2_1(a19)) | (~ndr1_0))) <=> ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19)))),
% 0.20/0.55 inference(transitivity,[status(thm)],[88, 86])).
% 0.20/0.55 tff(90,plain,
% 0.20/0.55 ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | (c1_1(a19) | c3_1(a19) | (~c2_1(a19)) | (~ndr1_0))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(91,plain,
% 0.20/0.55 ((~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0))) | c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.20/0.55 tff(92,plain,
% 0.20/0.55 ($false),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[91, 46, 85, 83, 81, 4])).
% 0.20/0.55 tff(93,plain,((c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))) | (~ndr1_0) | (~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.55 tff(94,plain,
% 0.20/0.55 ((c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))) | (~![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c2_1(X44)) | (~ndr1_0)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[93, 40])).
% 0.20/0.55 tff(95,plain,
% 0.20/0.55 (c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[94, 4])).
% 0.20/0.55 tff(96,plain,
% 0.20/0.55 (((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) <=> ((~hskp11) | (~(c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(97,plain,
% 0.20/0.55 (((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))) <=> ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(98,plain,
% 0.20/0.55 ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))),
% 0.20/0.55 inference(and_elim,[status(thm)],[15])).
% 0.20/0.55 tff(99,plain,
% 0.20/0.55 ((~hskp11) | (ndr1_0 & c2_1(a19) & (~c1_1(a19)) & (~c3_1(a19)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.20/0.55 tff(100,plain,
% 0.20/0.55 ((~hskp11) | (~(c1_1(a19) | c3_1(a19) | (~ndr1_0) | (~c2_1(a19))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[99, 96])).
% 0.20/0.55 tff(101,plain,
% 0.20/0.55 (~hskp11),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[100, 95])).
% 0.20/0.55 tff(102,assumption,(![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))), introduced(assumption)).
% 0.20/0.55 tff(103,plain,
% 0.20/0.55 ((c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))) | c3_1(a33)),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(104,plain,
% 0.20/0.55 (c3_1(a33)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[103, 74])).
% 0.20/0.55 tff(105,assumption,(c3_1(a33)), introduced(assumption)).
% 0.20/0.55 tff(106,assumption,(c2_1(a33)), introduced(assumption)).
% 0.20/0.55 tff(107,assumption,(~c0_1(a33)), introduced(assumption)).
% 0.20/0.55 tff(108,plain,
% 0.20/0.55 (((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | (c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33)))) <=> ((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(109,plain,
% 0.20/0.55 ((c0_1(a33) | (~c3_1(a33)) | (~c2_1(a33)) | (~ndr1_0)) <=> (c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(110,plain,
% 0.20/0.55 (((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | (c0_1(a33) | (~c3_1(a33)) | (~c2_1(a33)) | (~ndr1_0))) <=> ((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | (c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[109])).
% 0.20/0.55 tff(111,plain,
% 0.20/0.55 (((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | (c0_1(a33) | (~c3_1(a33)) | (~c2_1(a33)) | (~ndr1_0))) <=> ((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33)))),
% 0.20/0.55 inference(transitivity,[status(thm)],[110, 108])).
% 0.20/0.55 tff(112,plain,
% 0.20/0.55 ((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | (c0_1(a33) | (~c3_1(a33)) | (~c2_1(a33)) | (~ndr1_0))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(113,plain,
% 0.20/0.55 ((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.20/0.55 tff(114,plain,
% 0.20/0.55 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[113, 46, 107, 106, 105, 102])).
% 0.20/0.56 tff(115,plain,((~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))) | (~ndr1_0) | c0_1(a33) | (~c2_1(a33)) | (~c3_1(a33))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(116,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[115, 104, 76, 46, 102, 78])).
% 0.20/0.56 tff(117,plain,((c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))) | (~ndr1_0) | (~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(118,plain,
% 0.20/0.56 ((c0_1(a33) | (~ndr1_0) | (~c2_1(a33)) | (~c3_1(a33))) | (~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[117, 40])).
% 0.20/0.56 tff(119,plain,
% 0.20/0.56 (~![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[118, 74])).
% 0.20/0.56 tff(120,plain,
% 0.20/0.56 ((hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) <=> (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(121,plain,
% 0.20/0.56 ((hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))) <=> (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(122,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(and_elim,[status(thm)],[15])).
% 0.20/0.56 tff(123,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.20/0.56 tff(124,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[123, 121])).
% 0.20/0.56 tff(125,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[124, 121])).
% 0.20/0.56 tff(126,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.20/0.56 tff(127,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[126, 121])).
% 0.20/0.56 tff(128,plain,
% 0.20/0.56 (hskp11 | ![X36: $i] : (c0_1(X36) | (~c3_1(X36)) | (~c2_1(X36)) | (~ndr1_0)) | ![X37: $i] : (c3_1(X37) | (~c2_1(X37)) | (~c0_1(X37)) | (~ndr1_0))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[127, 121])).
% 0.20/0.56 Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------