%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN450+1 : TPTP v9.0.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 : Sat Jun 21 05:39:09 AM UTC 2025
% Result : Theorem 0.19s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN450+1 : TPTP v9.0.0. Released v2.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:35:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % SZS output start Proof
% 0.19/0.47 tff(ndr1_0_type, type, (
% 0.19/0.47 ndr1_0: $o)).
% 0.19/0.47 tff(c3_1_type, type, (
% 0.19/0.47 c3_1: $i > $o)).
% 0.19/0.47 tff(c0_1_type, type, (
% 0.19/0.47 c0_1: $i > $o)).
% 0.19/0.47 tff(c2_1_type, type, (
% 0.19/0.47 c2_1: $i > $o)).
% 0.19/0.47 tff(a646_type, type, (
% 0.19/0.47 a646: $i)).
% 0.19/0.47 tff(c1_1_type, type, (
% 0.19/0.47 c1_1: $i > $o)).
% 0.19/0.47 tff(hskp4_type, type, (
% 0.19/0.47 hskp4: $o)).
% 0.19/0.47 tff(hskp18_type, type, (
% 0.19/0.47 hskp18: $o)).
% 0.19/0.47 tff(a676_type, type, (
% 0.19/0.47 a676: $i)).
% 0.19/0.47 tff(hskp5_type, type, (
% 0.19/0.47 hskp5: $o)).
% 0.19/0.47 tff(a647_type, type, (
% 0.19/0.47 a647: $i)).
% 0.19/0.47 tff(hskp17_type, type, (
% 0.19/0.47 hskp17: $o)).
% 0.19/0.47 tff(a675_type, type, (
% 0.19/0.47 a675: $i)).
% 0.19/0.47 tff(hskp6_type, type, (
% 0.19/0.47 hskp6: $o)).
% 0.19/0.47 tff(a648_type, type, (
% 0.19/0.47 a648: $i)).
% 0.19/0.47 tff(a641_type, type, (
% 0.19/0.47 a641: $i)).
% 0.19/0.47 tff(hskp0_type, type, (
% 0.19/0.47 hskp0: $o)).
% 0.19/0.47 tff(a654_type, type, (
% 0.19/0.47 a654: $i)).
% 0.19/0.47 tff(hskp9_type, type, (
% 0.19/0.47 hskp9: $o)).
% 0.19/0.47 tff(a695_type, type, (
% 0.19/0.47 a695: $i)).
% 0.19/0.47 tff(hskp23_type, type, (
% 0.19/0.47 hskp23: $o)).
% 0.19/0.47 tff(hskp2_type, type, (
% 0.19/0.47 hskp2: $o)).
% 0.19/0.47 tff(a643_type, type, (
% 0.19/0.47 a643: $i)).
% 0.19/0.47 tff(hskp26_type, type, (
% 0.19/0.47 hskp26: $o)).
% 0.19/0.47 tff(a640_type, type, (
% 0.19/0.47 a640: $i)).
% 0.19/0.47 tff(a645_type, type, (
% 0.19/0.47 a645: $i)).
% 0.19/0.47 tff(hskp3_type, type, (
% 0.19/0.47 hskp3: $o)).
% 0.19/0.47 tff(hskp24_type, type, (
% 0.19/0.47 hskp24: $o)).
% 0.19/0.47 tff(hskp14_type, type, (
% 0.19/0.47 hskp14: $o)).
% 0.19/0.47 tff(hskp20_type, type, (
% 0.19/0.47 hskp20: $o)).
% 0.19/0.47 tff(hskp22_type, type, (
% 0.19/0.47 hskp22: $o)).
% 0.19/0.47 tff(hskp19_type, type, (
% 0.19/0.47 hskp19: $o)).
% 0.19/0.47 tff(hskp1_type, type, (
% 0.19/0.47 hskp1: $o)).
% 0.19/0.47 tff(hskp7_type, type, (
% 0.19/0.47 hskp7: $o)).
% 0.19/0.47 tff(hskp25_type, type, (
% 0.19/0.47 hskp25: $o)).
% 0.19/0.47 tff(hskp29_type, type, (
% 0.19/0.47 hskp29: $o)).
% 0.19/0.47 tff(hskp10_type, type, (
% 0.19/0.47 hskp10: $o)).
% 0.19/0.47 tff(hskp15_type, type, (
% 0.19/0.47 hskp15: $o)).
% 0.19/0.47 tff(hskp12_type, type, (
% 0.19/0.47 hskp12: $o)).
% 0.19/0.47 tff(hskp8_type, type, (
% 0.19/0.47 hskp8: $o)).
% 0.19/0.47 tff(hskp21_type, type, (
% 0.19/0.47 hskp21: $o)).
% 0.19/0.47 tff(hskp11_type, type, (
% 0.19/0.47 hskp11: $o)).
% 0.19/0.47 tff(hskp28_type, type, (
% 0.19/0.47 hskp28: $o)).
% 0.19/0.47 tff(hskp16_type, type, (
% 0.19/0.47 hskp16: $o)).
% 0.19/0.47 tff(hskp13_type, type, (
% 0.19/0.47 hskp13: $o)).
% 0.19/0.47 tff(hskp27_type, type, (
% 0.19/0.47 hskp27: $o)).
% 0.19/0.47 tff(a688_type, type, (
% 0.19/0.47 a688: $i)).
% 0.19/0.47 tff(a671_type, type, (
% 0.19/0.47 a671: $i)).
% 0.19/0.47 tff(a655_type, type, (
% 0.19/0.47 a655: $i)).
% 0.19/0.47 tff(a710_type, type, (
% 0.19/0.47 a710: $i)).
% 0.19/0.47 tff(a698_type, type, (
% 0.19/0.47 a698: $i)).
% 0.19/0.47 tff(a693_type, type, (
% 0.19/0.47 a693: $i)).
% 0.19/0.47 tff(a691_type, type, (
% 0.19/0.47 a691: $i)).
% 0.19/0.47 tff(a686_type, type, (
% 0.19/0.47 a686: $i)).
% 0.19/0.47 tff(a682_type, type, (
% 0.19/0.47 a682: $i)).
% 0.19/0.47 tff(a672_type, type, (
% 0.19/0.47 a672: $i)).
% 0.19/0.47 tff(a667_type, type, (
% 0.19/0.47 a667: $i)).
% 0.19/0.47 tff(a665_type, type, (
% 0.19/0.47 a665: $i)).
% 0.19/0.47 tff(a661_type, type, (
% 0.19/0.47 a661: $i)).
% 0.19/0.47 tff(a660_type, type, (
% 0.19/0.47 a660: $i)).
% 0.19/0.47 tff(a657_type, type, (
% 0.19/0.47 a657: $i)).
% 0.19/0.47 tff(a656_type, type, (
% 0.19/0.47 a656: $i)).
% 0.19/0.47 tff(a652_type, type, (
% 0.19/0.47 a652: $i)).
% 0.19/0.47 tff(a651_type, type, (
% 0.19/0.47 a651: $i)).
% 0.19/0.47 tff(a642_type, type, (
% 0.19/0.47 a642: $i)).
% 0.19/0.47 tff(1,assumption,(~![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.47 tff(2,assumption,(~![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.47 tff(3,assumption,(~hskp0), introduced(assumption)).
% 0.19/0.47 tff(4,assumption,(~hskp23), introduced(assumption)).
% 0.19/0.47 tff(5,assumption,(~![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.47 tff(6,assumption,(![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.47 tff(7,assumption,(~ndr1_0), introduced(assumption)).
% 0.19/0.47 tff(8,plain,
% 0.19/0.47 ((c2_1(a676) | (~ndr1_0) | (~c0_1(a676)) | (~c1_1(a676))) | ndr1_0),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(9,plain,
% 0.19/0.47 (c2_1(a676) | (~ndr1_0) | (~c0_1(a676)) | (~c1_1(a676))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.47 tff(10,plain,
% 0.19/0.47 (((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) <=> ((~hskp18) | (~(c2_1(a676) | (~ndr1_0) | (~c0_1(a676)) | (~c1_1(a676)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(11,plain,
% 0.19/0.47 (((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) <=> ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(12,plain,
% 0.19/0.47 ((~(~(((~hskp0) | (ndr1_0 & c2_1(a641) & c3_1(a641) & (~c1_1(a641)))) & ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) & ((~hskp2) | (ndr1_0 & c1_1(a643) & c2_1(a643) & (~c0_1(a643)))) & ((~hskp3) | (ndr1_0 & c1_1(a645) & c3_1(a645) & (~c2_1(a645)))) & ((~hskp4) | (ndr1_0 & (~c1_1(a646)) & (~c2_1(a646)) & (~c3_1(a646)))) & ((~hskp5) | (ndr1_0 & c1_1(a647) & (~c0_1(a647)) & (~c3_1(a647)))) & ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) & ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) & ((~hskp8) | (ndr1_0 & c0_1(a652) & c3_1(a652) & (~c2_1(a652)))) & ((~hskp9) | (ndr1_0 & (~c0_1(a654)) & (~c1_1(a654)) & (~c2_1(a654)))) & ((~hskp10) | (ndr1_0 & c0_1(a656) & c2_1(a656) & (~c1_1(a656)))) & ((~hskp11) | (ndr1_0 & c0_1(a657) & c2_1(a657) & (~c3_1(a657)))) & ((~hskp12) | (ndr1_0 & c0_1(a660) & (~c1_1(a660)) & (~c2_1(a660)))) & ((~hskp13) | (ndr1_0 & c0_1(a661) & (~c1_1(a661)) & (~c3_1(a661)))) & ((~hskp14) | (ndr1_0 & c2_1(a665) & (~c0_1(a665)) & (~c1_1(a665)))) & ((~hskp15) | (ndr1_0 & c3_1(a667) & (~c0_1(a667)) & (~c2_1(a667)))) & ((~hskp16) | (ndr1_0 & c1_1(a672) & (~c2_1(a672)) & (~c3_1(a672)))) & ((~hskp17) | (ndr1_0 & c2_1(a675) & (~c1_1(a675)) & (~c3_1(a675)))) & ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) & ((~hskp19) | (ndr1_0 & c3_1(a682) & (~c1_1(a682)) & (~c2_1(a682)))) & ((~hskp20) | (ndr1_0 & c1_1(a686) & c2_1(a686) & (~c3_1(a686)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a691)) & (~c1_1(a691)) & (~c3_1(a691)))) & ((~hskp22) | (ndr1_0 & c2_1(a693) & c3_1(a693) & (~c0_1(a693)))) & ((~hskp23) | (ndr1_0 & c2_1(a695) & (~c0_1(a695)) & (~c3_1(a695)))) & ((~hskp24) | (ndr1_0 & c1_1(a698) & (~c0_1(a698)) & (~c2_1(a698)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a710)) & (~c2_1(a710)) & (~c3_1(a710)))) & ((~hskp26) | (ndr1_0 & c0_1(a640) & c1_1(a640) & c3_1(a640))) & ((~hskp27) | (ndr1_0 & c0_1(a655) & c2_1(a655) & c3_1(a655))) & ((~hskp28) | (ndr1_0 & c0_1(a671) & c1_1(a671) & c2_1(a671))) & ((~hskp29) | (ndr1_0 & c1_1(a688) & c2_1(a688) & c3_1(a688))) & (hskp0 | hskp26 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) & (![V: $i] : (c1_1(V) | c0_1(V) | c3_1(V) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c0_1(W) | (~c2_1(W)) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | (~c1_1(X)) | (~c0_1(X)) | (~ndr1_0))) & (hskp1 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c0_1(Z) | (~c2_1(Z)) | (~c3_1(Z)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | c3_1(X1) | (~ndr1_0))) & (hskp3 | hskp4 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))) & (hskp5 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | c3_1(X4) | (~c2_1(X4)) | (~ndr1_0))) & (hskp2 | hskp6 | ![X5: $i] : (c1_1(X5) | c0_1(X5) | (~c2_1(X5)) | (~ndr1_0))) & (hskp2 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0))) & (hskp7 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c3_1(X9)) | (~ndr1_0))) & (hskp8 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c3_1(X10)) | (~ndr1_0)) | ![X11: $i] : ((~c2_1(X11)) | (~c1_1(X11)) | (~c0_1(X11)) | (~ndr1_0))) & (hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c2_1(X13)) | (~c1_1(X13)) | (~c3_1(X13)) | (~ndr1_0))) & (![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : ((~c1_1(X16)) | (~c0_1(X16)) | (~c3_1(X16)) | (~ndr1_0))) & (hskp9 | ![X17: $i] : (c2_1(X17) | c0_1(X17) | c3_1(X17) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp27 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c2_1(X20) | c1_1(X20) | (~c3_1(X20)) | (~ndr1_0))) & (hskp10 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c3_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | (~c1_1(X22)) | (~c0_1(X22)) | (~ndr1_0))) & (![X23: $i] : (c0_1(X23) | c3_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c2_1(X25) | c1_1(X25) | (~c0_1(X25)) | (~ndr1_0))) & (hskp11 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c3_1(X27)) | (~ndr1_0))) & (hskp27 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c2_1(X29)) | (~c3_1(X29)) | (~ndr1_0))) & (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X32: $i] : (c0_1(X32) | c3_1(X32) | (~c1_1(X32)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : ((~c2_1(X36)) | (~c1_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c0_1(X37) | (~c2_1(X37)) | (~c1_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c1_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : ((~c2_1(X39)) | (~c1_1(X39)) | (~c3_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c0_1(X40) | (~c1_1(X40)) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c1_1(X42)) | (~c0_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp7 | ![X43: $i] : (c0_1(X43) | (~c2_1(X43)) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp4 | hskp14 | ![X45: $i] : (c0_1(X45) | (~c2_1(X45)) | (~c3_1(X45)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X46: $i] : (c0_1(X46) | (~c2_1(X46)) | (~c3_1(X46)) | (~ndr1_0))) & (hskp4 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0))) & (hskp12 | ![X49: $i] : (c2_1(X49) | c1_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | c3_1(X50) | (~c0_1(X50)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (![X52: $i] : (c1_1(X52) | c3_1(X52) | (~c0_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c2_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp7 | ![X55: $i] : (c1_1(X55) | c3_1(X55) | (~c0_1(X55)) | (~ndr1_0)) | ![X56: $i] : ((~c2_1(X56)) | (~c1_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (![X57: $i] : (c1_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c1_1(X59)) | (~c0_1(X59)) | (~ndr1_0)) | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c3_1(X58)) | (~ndr1_0))) & (hskp17 | hskp28 | ![X60: $i] : (c1_1(X60) | (~c0_1(X60)) | (~c3_1(X60)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X61: $i] : (c1_1(X61) | (~c0_1(X61)) | (~c3_1(X61)) | (~ndr1_0))) & (hskp9 | ![X62: $i] : (c1_1(X62) | (~c2_1(X62)) | (~c3_1(X62)) | (~ndr1_0)) | ![X63: $i] : (c3_1(X63) | (~c1_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp7 | hskp17 | ![X64: $i] : (c1_1(X64) | (~c2_1(X64)) | (~c3_1(X64)) | (~ndr1_0))) & (hskp17 | hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0))) & (![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)) | ![X67: $i] : (c3_1(X67) | (~c2_1(X67)) | (~c0_1(X67)) | (~ndr1_0))) & (hskp11 | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c0_1(X68)) | (~ndr1_0)) | ![X69: $i] : ((~c2_1(X69)) | (~c1_1(X69)) | (~c3_1(X69)) | (~ndr1_0))) & (hskp8 | hskp19 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c0_1(X70)) | (~ndr1_0))) & (hskp5 | hskp20 | ![X71: $i] : (c2_1(X71) | c3_1(X71) | (~c0_1(X71)) | (~ndr1_0))) & (hskp5 | hskp29 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp11 | hskp21 | ![X73: $i] : (c2_1(X73) | (~c0_1(X73)) | (~c3_1(X73)) | (~ndr1_0))) & (hskp20 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp5 | hskp23 | ![X75: $i] : (c2_1(X75) | (~c0_1(X75)) | (~c3_1(X75)) | (~ndr1_0))) & (hskp8 | ![X76: $i] : (c2_1(X76) | (~c1_1(X76)) | (~c3_1(X76)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c1_1(X77)) | (~c3_1(X77)) | (~ndr1_0))) & (hskp2 | hskp24 | ![X78: $i] : (c2_1(X78) | (~c1_1(X78)) | (~c3_1(X78)) | (~ndr1_0))) & (hskp3 | hskp15 | ![X79: $i] : (c2_1(X79) | (~c1_1(X79)) | (~c3_1(X79)) | (~ndr1_0))) & (hskp1 | hskp29 | ![X80: $i] : (c3_1(X80) | (~c2_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp12 | hskp20 | ![X81: $i] : (c3_1(X81) | (~c2_1(X81)) | (~c0_1(X81)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X82: $i] : (c3_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0))) & (hskp10 | hskp29 | ![X83: $i] : (c3_1(X83) | (~c2_1(X83)) | (~c1_1(X83)) | (~ndr1_0))) & (hskp23 | hskp25 | ![X84: $i] : ((~c2_1(X84)) | (~c1_1(X84)) | (~c0_1(X84)) | (~ndr1_0))) & (hskp1 | hskp7 | hskp18) & (hskp2 | hskp18 | hskp20) & (hskp1 | hskp14 | hskp17) & (hskp2 | hskp19 | hskp22) & (hskp0 | hskp20 | hskp24) & (hskp14 | hskp17 | hskp24)))) <=> (((~hskp0) | (ndr1_0 & c2_1(a641) & c3_1(a641) & (~c1_1(a641)))) & ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) & ((~hskp2) | (ndr1_0 & c1_1(a643) & c2_1(a643) & (~c0_1(a643)))) & ((~hskp3) | (ndr1_0 & c1_1(a645) & c3_1(a645) & (~c2_1(a645)))) & ((~hskp4) | (ndr1_0 & (~c1_1(a646)) & (~c2_1(a646)) & (~c3_1(a646)))) & ((~hskp5) | (ndr1_0 & c1_1(a647) & (~c0_1(a647)) & (~c3_1(a647)))) & ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) & ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) & ((~hskp8) | (ndr1_0 & c0_1(a652) & c3_1(a652) & (~c2_1(a652)))) & ((~hskp9) | (ndr1_0 & (~c0_1(a654)) & (~c1_1(a654)) & (~c2_1(a654)))) & ((~hskp10) | (ndr1_0 & c0_1(a656) & c2_1(a656) & (~c1_1(a656)))) & ((~hskp11) | (ndr1_0 & c0_1(a657) & c2_1(a657) & (~c3_1(a657)))) & ((~hskp12) | (ndr1_0 & c0_1(a660) & (~c1_1(a660)) & (~c2_1(a660)))) & ((~hskp13) | (ndr1_0 & c0_1(a661) & (~c1_1(a661)) & (~c3_1(a661)))) & ((~hskp14) | (ndr1_0 & c2_1(a665) & (~c0_1(a665)) & (~c1_1(a665)))) & ((~hskp15) | (ndr1_0 & c3_1(a667) & (~c0_1(a667)) & (~c2_1(a667)))) & ((~hskp16) | (ndr1_0 & c1_1(a672) & (~c2_1(a672)) & (~c3_1(a672)))) & ((~hskp17) | (ndr1_0 & c2_1(a675) & (~c1_1(a675)) & (~c3_1(a675)))) & ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) & ((~hskp19) | (ndr1_0 & c3_1(a682) & (~c1_1(a682)) & (~c2_1(a682)))) & ((~hskp20) | (ndr1_0 & c1_1(a686) & c2_1(a686) & (~c3_1(a686)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a691)) & (~c1_1(a691)) & (~c3_1(a691)))) & ((~hskp22) | (ndr1_0 & c2_1(a693) & c3_1(a693) & (~c0_1(a693)))) & ((~hskp23) | (ndr1_0 & c2_1(a695) & (~c0_1(a695)) & (~c3_1(a695)))) & ((~hskp24) | (ndr1_0 & c1_1(a698) & (~c0_1(a698)) & (~c2_1(a698)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a710)) & (~c2_1(a710)) & (~c3_1(a710)))) & ((~hskp26) | (ndr1_0 & c0_1(a640) & c1_1(a640) & c3_1(a640))) & ((~hskp27) | (ndr1_0 & c0_1(a655) & c2_1(a655) & c3_1(a655))) & ((~hskp28) | (ndr1_0 & c0_1(a671) & c1_1(a671) & c2_1(a671))) & ((~hskp29) | (ndr1_0 & c1_1(a688) & c2_1(a688) & c3_1(a688))) & (hskp0 | hskp26 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) & (![V: $i] : (c1_1(V) | c0_1(V) | c3_1(V) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c0_1(W) | (~c2_1(W)) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | (~c1_1(X)) | (~c0_1(X)) | (~ndr1_0))) & (hskp1 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c0_1(Z) | (~c2_1(Z)) | (~c3_1(Z)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | c3_1(X1) | (~ndr1_0))) & (hskp3 | hskp4 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))) & (hskp5 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | c3_1(X4) | (~c2_1(X4)) | (~ndr1_0))) & (hskp2 | hskp6 | ![X5: $i] : (c1_1(X5) | c0_1(X5) | (~c2_1(X5)) | (~ndr1_0))) & (hskp2 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0))) & (hskp7 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c3_1(X9)) | (~ndr1_0))) & (hskp8 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c3_1(X10)) | (~ndr1_0)) | ![X11: $i] : ((~c2_1(X11)) | (~c1_1(X11)) | (~c0_1(X11)) | (~ndr1_0))) & (hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c2_1(X13)) | (~c1_1(X13)) | (~c3_1(X13)) | (~ndr1_0))) & (![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : ((~c1_1(X16)) | (~c0_1(X16)) | (~c3_1(X16)) | (~ndr1_0))) & (hskp9 | ![X17: $i] : (c2_1(X17) | c0_1(X17) | c3_1(X17) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp27 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c2_1(X20) | c1_1(X20) | (~c3_1(X20)) | (~ndr1_0))) & (hskp10 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c3_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | (~c1_1(X22)) | (~c0_1(X22)) | (~ndr1_0))) & (![X23: $i] : (c0_1(X23) | c3_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c2_1(X25) | c1_1(X25) | (~c0_1(X25)) | (~ndr1_0))) & (hskp11 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c3_1(X27)) | (~ndr1_0))) & (hskp27 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c2_1(X29)) | (~c3_1(X29)) | (~ndr1_0))) & (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X32: $i] : (c0_1(X32) | c3_1(X32) | (~c1_1(X32)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : ((~c2_1(X36)) | (~c1_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c0_1(X37) | (~c2_1(X37)) | (~c1_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c1_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : ((~c2_1(X39)) | (~c1_1(X39)) | (~c3_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c0_1(X40) | (~c1_1(X40)) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c1_1(X42)) | (~c0_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp7 | ![X43: $i] : (c0_1(X43) | (~c2_1(X43)) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp4 | hskp14 | ![X45: $i] : (c0_1(X45) | (~c2_1(X45)) | (~c3_1(X45)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X46: $i] : (c0_1(X46) | (~c2_1(X46)) | (~c3_1(X46)) | (~ndr1_0))) & (hskp4 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0))) & (hskp12 | ![X49: $i] : (c2_1(X49) | c1_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | c3_1(X50) | (~c0_1(X50)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (![X52: $i] : (c1_1(X52) | c3_1(X52) | (~c0_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c2_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp7 | ![X55: $i] : (c1_1(X55) | c3_1(X55) | (~c0_1(X55)) | (~ndr1_0)) | ![X56: $i] : ((~c2_1(X56)) | (~c1_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (![X57: $i] : (c1_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c1_1(X59)) | (~c0_1(X59)) | (~ndr1_0)) | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c3_1(X58)) | (~ndr1_0))) & (hskp17 | hskp28 | ![X60: $i] : (c1_1(X60) | (~c0_1(X60)) | (~c3_1(X60)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X61: $i] : (c1_1(X61) | (~c0_1(X61)) | (~c3_1(X61)) | (~ndr1_0))) & (hskp9 | ![X62: $i] : (c1_1(X62) | (~c2_1(X62)) | (~c3_1(X62)) | (~ndr1_0)) | ![X63: $i] : (c3_1(X63) | (~c1_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp7 | hskp17 | ![X64: $i] : (c1_1(X64) | (~c2_1(X64)) | (~c3_1(X64)) | (~ndr1_0))) & (hskp17 | hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0))) & (![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)) | ![X67: $i] : (c3_1(X67) | (~c2_1(X67)) | (~c0_1(X67)) | (~ndr1_0))) & (hskp11 | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c0_1(X68)) | (~ndr1_0)) | ![X69: $i] : ((~c2_1(X69)) | (~c1_1(X69)) | (~c3_1(X69)) | (~ndr1_0))) & (hskp8 | hskp19 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c0_1(X70)) | (~ndr1_0))) & (hskp5 | hskp20 | ![X71: $i] : (c2_1(X71) | c3_1(X71) | (~c0_1(X71)) | (~ndr1_0))) & (hskp5 | hskp29 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp11 | hskp21 | ![X73: $i] : (c2_1(X73) | (~c0_1(X73)) | (~c3_1(X73)) | (~ndr1_0))) & (hskp20 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp5 | hskp23 | ![X75: $i] : (c2_1(X75) | (~c0_1(X75)) | (~c3_1(X75)) | (~ndr1_0))) & (hskp8 | ![X76: $i] : (c2_1(X76) | (~c1_1(X76)) | (~c3_1(X76)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c1_1(X77)) | (~c3_1(X77)) | (~ndr1_0))) & (hskp2 | hskp24 | ![X78: $i] : (c2_1(X78) | (~c1_1(X78)) | (~c3_1(X78)) | (~ndr1_0))) & (hskp3 | hskp15 | ![X79: $i] : (c2_1(X79) | (~c1_1(X79)) | (~c3_1(X79)) | (~ndr1_0))) & (hskp1 | hskp29 | ![X80: $i] : (c3_1(X80) | (~c2_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp12 | hskp20 | ![X81: $i] : (c3_1(X81) | (~c2_1(X81)) | (~c0_1(X81)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X82: $i] : (c3_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0))) & (hskp10 | hskp29 | ![X83: $i] : (c3_1(X83) | (~c2_1(X83)) | (~c1_1(X83)) | (~ndr1_0))) & (hskp23 | hskp25 | ![X84: $i] : ((~c2_1(X84)) | (~c1_1(X84)) | (~c0_1(X84)) | (~ndr1_0))) & (hskp1 | hskp7 | hskp18) & (hskp2 | hskp18 | hskp20) & (hskp1 | hskp14 | hskp17) & (hskp2 | hskp19 | hskp22) & (hskp0 | hskp20 | hskp24) & (hskp14 | hskp17 | hskp24))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(13,plain,
% 0.19/0.48 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c2_1(a641)) & c3_1(a641)) & (~c1_1(a641)))) & ((~hskp1) | (((ndr1_0 & c0_1(a642)) & c3_1(a642)) & (~c1_1(a642))))) & ((~hskp2) | (((ndr1_0 & c1_1(a643)) & c2_1(a643)) & (~c0_1(a643))))) & ((~hskp3) | (((ndr1_0 & c1_1(a645)) & c3_1(a645)) & (~c2_1(a645))))) & ((~hskp4) | (((ndr1_0 & (~c1_1(a646))) & (~c2_1(a646))) & (~c3_1(a646))))) & ((~hskp5) | (((ndr1_0 & c1_1(a647)) & (~c0_1(a647))) & (~c3_1(a647))))) & ((~hskp6) | (((ndr1_0 & c0_1(a648)) & (~c2_1(a648))) & (~c3_1(a648))))) & ((~hskp7) | (((ndr1_0 & c3_1(a651)) & (~c0_1(a651))) & (~c1_1(a651))))) & ((~hskp8) | (((ndr1_0 & c0_1(a652)) & c3_1(a652)) & (~c2_1(a652))))) & ((~hskp9) | (((ndr1_0 & (~c0_1(a654))) & (~c1_1(a654))) & (~c2_1(a654))))) & ((~hskp10) | (((ndr1_0 & c0_1(a656)) & c2_1(a656)) & (~c1_1(a656))))) & ((~hskp11) | (((ndr1_0 & c0_1(a657)) & c2_1(a657)) & (~c3_1(a657))))) & ((~hskp12) | (((ndr1_0 & c0_1(a660)) & (~c1_1(a660))) & (~c2_1(a660))))) & ((~hskp13) | (((ndr1_0 & c0_1(a661)) & (~c1_1(a661))) & (~c3_1(a661))))) & ((~hskp14) | (((ndr1_0 & c2_1(a665)) & (~c0_1(a665))) & (~c1_1(a665))))) & ((~hskp15) | (((ndr1_0 & c3_1(a667)) & (~c0_1(a667))) & (~c2_1(a667))))) & ((~hskp16) | (((ndr1_0 & c1_1(a672)) & (~c2_1(a672))) & (~c3_1(a672))))) & ((~hskp17) | (((ndr1_0 & c2_1(a675)) & (~c1_1(a675))) & (~c3_1(a675))))) & ((~hskp18) | (((ndr1_0 & c0_1(a676)) & c1_1(a676)) & (~c2_1(a676))))) & ((~hskp19) | (((ndr1_0 & c3_1(a682)) & (~c1_1(a682))) & (~c2_1(a682))))) & ((~hskp20) | (((ndr1_0 & c1_1(a686)) & c2_1(a686)) & (~c3_1(a686))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a691))) & (~c1_1(a691))) & (~c3_1(a691))))) & ((~hskp22) | (((ndr1_0 & c2_1(a693)) & c3_1(a693)) & (~c0_1(a693))))) & ((~hskp23) | (((ndr1_0 & c2_1(a695)) & (~c0_1(a695))) & (~c3_1(a695))))) & ((~hskp24) | (((ndr1_0 & c1_1(a698)) & (~c0_1(a698))) & (~c2_1(a698))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a710))) & (~c2_1(a710))) & (~c3_1(a710))))) & ((~hskp26) | (((ndr1_0 & c0_1(a640)) & c1_1(a640)) & c3_1(a640)))) & ((~hskp27) | (((ndr1_0 & c0_1(a655)) & c2_1(a655)) & c3_1(a655)))) & ((~hskp28) | (((ndr1_0 & c0_1(a671)) & c1_1(a671)) & c2_1(a671)))) & ((~hskp29) | (((ndr1_0 & c1_1(a688)) & c2_1(a688)) & c3_1(a688)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | hskp26) | hskp0)) & ((![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | c3_1(V))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | (~c2_1(W))))) | ![X: $i] : (ndr1_0 => ((c2_1(X) | (~c0_1(X))) | (~c1_1(X)))))) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c0_1(Z) | (~c2_1(Z))) | (~c3_1(Z))))) | hskp1)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c3_1(X1))) | hskp2) | hskp0)) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | hskp3) | hskp4)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c2_1(X3)))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | c3_1(X4)) | (~c2_1(X4))))) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | (~c2_1(X5)))) | hskp6) | hskp2)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c3_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | hskp2)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c3_1(X9))))) | hskp7)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c3_1(X10)))) | ![X11: $i] : (ndr1_0 => (((~c0_1(X11)) | (~c1_1(X11))) | (~c2_1(X11))))) | hskp8)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c1_1(X13)) | (~c2_1(X13))) | (~c3_1(X13))))) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | c3_1(X14))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15)))) | ![X16: $i] : (ndr1_0 => (((~c0_1(X16)) | (~c1_1(X16))) | (~c3_1(X16)))))) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c2_1(X17)) | c3_1(X17))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c2_1(X18))))) | hskp9)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c3_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c1_1(X20) | c2_1(X20)) | (~c3_1(X20))))) | hskp27)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c3_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c2_1(X22) | (~c0_1(X22))) | (~c1_1(X22))))) | hskp10)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c3_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c0_1(X24) | (~c1_1(X24))) | (~c2_1(X24))))) | ![X25: $i] : (ndr1_0 => ((c1_1(X25) | c2_1(X25)) | (~c0_1(X25)))))) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c3_1(X27))))) | hskp11)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | (~c2_1(X29))) | (~c3_1(X29))))) | hskp27)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c1_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp6)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c3_1(X32)) | (~c1_1(X32)))) | hskp12) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c2_1(X33)))) | hskp6) | hskp3)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c1_1(X36))) | (~c2_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c1_1(X37))) | (~c2_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | (~c2_1(X38))) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => (((~c1_1(X39)) | (~c2_1(X39))) | (~c3_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c1_1(X40))) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c0_1(X41))))) | ![X42: $i] : (ndr1_0 => ((c2_1(X42) | (~c0_1(X42))) | (~c1_1(X42)))))) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | (~c2_1(X43))) | (~c3_1(X43)))) | ![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c0_1(X44))))) | hskp7)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | (~c2_1(X45))) | (~c3_1(X45)))) | hskp14) | hskp4)) & ((![X46: $i] : (ndr1_0 => ((c0_1(X46) | (~c2_1(X46))) | (~c3_1(X46)))) | hskp15) | hskp9)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | c3_1(X47))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48))))) | hskp4)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c2_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | c3_1(X50)) | (~c0_1(X50))))) | hskp12)) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51)))) | hskp28) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c3_1(X52)) | (~c0_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c2_1(X54)))))) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | c3_1(X55)) | (~c0_1(X55)))) | ![X56: $i] : (ndr1_0 => (((~c0_1(X56)) | (~c1_1(X56))) | (~c2_1(X56))))) | hskp7)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58))))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | (~c0_1(X59))) | (~c1_1(X59)))))) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60)))) | hskp28) | hskp17)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c0_1(X61))) | (~c3_1(X61)))) | hskp18) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c1_1(X62) | (~c2_1(X62))) | (~c3_1(X62)))) | ![X63: $i] : (ndr1_0 => ((c3_1(X63) | (~c0_1(X63))) | (~c1_1(X63))))) | hskp9)) & ((![X64: $i] : (ndr1_0 => ((c1_1(X64) | (~c2_1(X64))) | (~c3_1(X64)))) | hskp17) | hskp7)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | hskp17) | hskp19)) & (![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | ![X67: $i] : (ndr1_0 => ((c3_1(X67) | (~c0_1(X67))) | (~c2_1(X67)))))) & ((![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c0_1(X68)))) | ![X69: $i] : (ndr1_0 => (((~c1_1(X69)) | (~c2_1(X69))) | (~c3_1(X69))))) | hskp11)) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c0_1(X70)))) | hskp8) | hskp19)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp20) | hskp5)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp29) | hskp5)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c3_1(X73)))) | hskp11) | hskp21)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp20) | hskp22)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c0_1(X75))) | (~c3_1(X75)))) | hskp5) | hskp23)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c1_1(X76))) | (~c3_1(X76)))) | ![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77))))) | hskp8)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp2) | hskp24)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp3) | hskp15)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c2_1(X80)))) | hskp1) | hskp29)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp12) | hskp20)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | hskp15) | hskp9)) & ((![X83: $i] : (ndr1_0 => ((c3_1(X83) | (~c1_1(X83))) | (~c2_1(X83)))) | hskp10) | hskp29)) & ((![X84: $i] : (ndr1_0 => (((~c0_1(X84)) | (~c1_1(X84))) | (~c2_1(X84)))) | hskp23) | hskp25)) & ((hskp18 | hskp1) | hskp7)) & ((hskp18 | hskp2) | hskp20)) & ((hskp1 | hskp14) | hskp17)) & ((hskp2 | hskp22) | hskp19)) & ((hskp20 | hskp24) | hskp0)) & ((hskp24 | hskp14) | hskp17))) <=> (~(((~hskp0) | (ndr1_0 & c2_1(a641) & c3_1(a641) & (~c1_1(a641)))) & ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) & ((~hskp2) | (ndr1_0 & c1_1(a643) & c2_1(a643) & (~c0_1(a643)))) & ((~hskp3) | (ndr1_0 & c1_1(a645) & c3_1(a645) & (~c2_1(a645)))) & ((~hskp4) | (ndr1_0 & (~c1_1(a646)) & (~c2_1(a646)) & (~c3_1(a646)))) & ((~hskp5) | (ndr1_0 & c1_1(a647) & (~c0_1(a647)) & (~c3_1(a647)))) & ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) & ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) & ((~hskp8) | (ndr1_0 & c0_1(a652) & c3_1(a652) & (~c2_1(a652)))) & ((~hskp9) | (ndr1_0 & (~c0_1(a654)) & (~c1_1(a654)) & (~c2_1(a654)))) & ((~hskp10) | (ndr1_0 & c0_1(a656) & c2_1(a656) & (~c1_1(a656)))) & ((~hskp11) | (ndr1_0 & c0_1(a657) & c2_1(a657) & (~c3_1(a657)))) & ((~hskp12) | (ndr1_0 & c0_1(a660) & (~c1_1(a660)) & (~c2_1(a660)))) & ((~hskp13) | (ndr1_0 & c0_1(a661) & (~c1_1(a661)) & (~c3_1(a661)))) & ((~hskp14) | (ndr1_0 & c2_1(a665) & (~c0_1(a665)) & (~c1_1(a665)))) & ((~hskp15) | (ndr1_0 & c3_1(a667) & (~c0_1(a667)) & (~c2_1(a667)))) & ((~hskp16) | (ndr1_0 & c1_1(a672) & (~c2_1(a672)) & (~c3_1(a672)))) & ((~hskp17) | (ndr1_0 & c2_1(a675) & (~c1_1(a675)) & (~c3_1(a675)))) & ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) & ((~hskp19) | (ndr1_0 & c3_1(a682) & (~c1_1(a682)) & (~c2_1(a682)))) & ((~hskp20) | (ndr1_0 & c1_1(a686) & c2_1(a686) & (~c3_1(a686)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a691)) & (~c1_1(a691)) & (~c3_1(a691)))) & ((~hskp22) | (ndr1_0 & c2_1(a693) & c3_1(a693) & (~c0_1(a693)))) & ((~hskp23) | (ndr1_0 & c2_1(a695) & (~c0_1(a695)) & (~c3_1(a695)))) & ((~hskp24) | (ndr1_0 & c1_1(a698) & (~c0_1(a698)) & (~c2_1(a698)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a710)) & (~c2_1(a710)) & (~c3_1(a710)))) & ((~hskp26) | (ndr1_0 & c0_1(a640) & c1_1(a640) & c3_1(a640))) & ((~hskp27) | (ndr1_0 & c0_1(a655) & c2_1(a655) & c3_1(a655))) & ((~hskp28) | (ndr1_0 & c0_1(a671) & c1_1(a671) & c2_1(a671))) & ((~hskp29) | (ndr1_0 & c1_1(a688) & c2_1(a688) & c3_1(a688))) & (hskp0 | hskp26 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) & (![V: $i] : (c1_1(V) | c0_1(V) | c3_1(V) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c0_1(W) | (~c2_1(W)) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | (~c1_1(X)) | (~c0_1(X)) | (~ndr1_0))) & (hskp1 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c0_1(Z) | (~c2_1(Z)) | (~c3_1(Z)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | c3_1(X1) | (~ndr1_0))) & (hskp3 | hskp4 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))) & (hskp5 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | c3_1(X4) | (~c2_1(X4)) | (~ndr1_0))) & (hskp2 | hskp6 | ![X5: $i] : (c1_1(X5) | c0_1(X5) | (~c2_1(X5)) | (~ndr1_0))) & (hskp2 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0))) & (hskp7 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c3_1(X9)) | (~ndr1_0))) & (hskp8 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c3_1(X10)) | (~ndr1_0)) | ![X11: $i] : ((~c2_1(X11)) | (~c1_1(X11)) | (~c0_1(X11)) | (~ndr1_0))) & (hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c2_1(X13)) | (~c1_1(X13)) | (~c3_1(X13)) | (~ndr1_0))) & (![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : ((~c1_1(X16)) | (~c0_1(X16)) | (~c3_1(X16)) | (~ndr1_0))) & (hskp9 | ![X17: $i] : (c2_1(X17) | c0_1(X17) | c3_1(X17) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp27 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c2_1(X20) | c1_1(X20) | (~c3_1(X20)) | (~ndr1_0))) & (hskp10 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c3_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | (~c1_1(X22)) | (~c0_1(X22)) | (~ndr1_0))) & (![X23: $i] : (c0_1(X23) | c3_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c2_1(X25) | c1_1(X25) | (~c0_1(X25)) | (~ndr1_0))) & (hskp11 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c3_1(X27)) | (~ndr1_0))) & (hskp27 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c2_1(X29)) | (~c3_1(X29)) | (~ndr1_0))) & (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X32: $i] : (c0_1(X32) | c3_1(X32) | (~c1_1(X32)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : ((~c2_1(X36)) | (~c1_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c0_1(X37) | (~c2_1(X37)) | (~c1_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c1_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : ((~c2_1(X39)) | (~c1_1(X39)) | (~c3_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c0_1(X40) | (~c1_1(X40)) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c1_1(X42)) | (~c0_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp7 | ![X43: $i] : (c0_1(X43) | (~c2_1(X43)) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp4 | hskp14 | ![X45: $i] : (c0_1(X45) | (~c2_1(X45)) | (~c3_1(X45)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X46: $i] : (c0_1(X46) | (~c2_1(X46)) | (~c3_1(X46)) | (~ndr1_0))) & (hskp4 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0))) & (hskp12 | ![X49: $i] : (c2_1(X49) | c1_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | c3_1(X50) | (~c0_1(X50)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (![X52: $i] : (c1_1(X52) | c3_1(X52) | (~c0_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c2_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp7 | ![X55: $i] : (c1_1(X55) | c3_1(X55) | (~c0_1(X55)) | (~ndr1_0)) | ![X56: $i] : ((~c2_1(X56)) | (~c1_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (![X57: $i] : (c1_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c1_1(X59)) | (~c0_1(X59)) | (~ndr1_0)) | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c3_1(X58)) | (~ndr1_0))) & (hskp17 | hskp28 | ![X60: $i] : (c1_1(X60) | (~c0_1(X60)) | (~c3_1(X60)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X61: $i] : (c1_1(X61) | (~c0_1(X61)) | (~c3_1(X61)) | (~ndr1_0))) & (hskp9 | ![X62: $i] : (c1_1(X62) | (~c2_1(X62)) | (~c3_1(X62)) | (~ndr1_0)) | ![X63: $i] : (c3_1(X63) | (~c1_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp7 | hskp17 | ![X64: $i] : (c1_1(X64) | (~c2_1(X64)) | (~c3_1(X64)) | (~ndr1_0))) & (hskp17 | hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0))) & (![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)) | ![X67: $i] : (c3_1(X67) | (~c2_1(X67)) | (~c0_1(X67)) | (~ndr1_0))) & (hskp11 | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c0_1(X68)) | (~ndr1_0)) | ![X69: $i] : ((~c2_1(X69)) | (~c1_1(X69)) | (~c3_1(X69)) | (~ndr1_0))) & (hskp8 | hskp19 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c0_1(X70)) | (~ndr1_0))) & (hskp5 | hskp20 | ![X71: $i] : (c2_1(X71) | c3_1(X71) | (~c0_1(X71)) | (~ndr1_0))) & (hskp5 | hskp29 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp11 | hskp21 | ![X73: $i] : (c2_1(X73) | (~c0_1(X73)) | (~c3_1(X73)) | (~ndr1_0))) & (hskp20 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp5 | hskp23 | ![X75: $i] : (c2_1(X75) | (~c0_1(X75)) | (~c3_1(X75)) | (~ndr1_0))) & (hskp8 | ![X76: $i] : (c2_1(X76) | (~c1_1(X76)) | (~c3_1(X76)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c1_1(X77)) | (~c3_1(X77)) | (~ndr1_0))) & (hskp2 | hskp24 | ![X78: $i] : (c2_1(X78) | (~c1_1(X78)) | (~c3_1(X78)) | (~ndr1_0))) & (hskp3 | hskp15 | ![X79: $i] : (c2_1(X79) | (~c1_1(X79)) | (~c3_1(X79)) | (~ndr1_0))) & (hskp1 | hskp29 | ![X80: $i] : (c3_1(X80) | (~c2_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp12 | hskp20 | ![X81: $i] : (c3_1(X81) | (~c2_1(X81)) | (~c0_1(X81)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X82: $i] : (c3_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0))) & (hskp10 | hskp29 | ![X83: $i] : (c3_1(X83) | (~c2_1(X83)) | (~c1_1(X83)) | (~ndr1_0))) & (hskp23 | hskp25 | ![X84: $i] : ((~c2_1(X84)) | (~c1_1(X84)) | (~c0_1(X84)) | (~ndr1_0))) & (hskp1 | hskp7 | hskp18) & (hskp2 | hskp18 | hskp20) & (hskp1 | hskp14 | hskp17) & (hskp2 | hskp19 | hskp22) & (hskp0 | hskp20 | hskp24) & (hskp14 | hskp17 | hskp24)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(14,plain,
% 0.19/0.49 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c2_1(a641)) & c3_1(a641)) & (~c1_1(a641)))) & ((~hskp1) | (((ndr1_0 & c0_1(a642)) & c3_1(a642)) & (~c1_1(a642))))) & ((~hskp2) | (((ndr1_0 & c1_1(a643)) & c2_1(a643)) & (~c0_1(a643))))) & ((~hskp3) | (((ndr1_0 & c1_1(a645)) & c3_1(a645)) & (~c2_1(a645))))) & ((~hskp4) | (((ndr1_0 & (~c1_1(a646))) & (~c2_1(a646))) & (~c3_1(a646))))) & ((~hskp5) | (((ndr1_0 & c1_1(a647)) & (~c0_1(a647))) & (~c3_1(a647))))) & ((~hskp6) | (((ndr1_0 & c0_1(a648)) & (~c2_1(a648))) & (~c3_1(a648))))) & ((~hskp7) | (((ndr1_0 & c3_1(a651)) & (~c0_1(a651))) & (~c1_1(a651))))) & ((~hskp8) | (((ndr1_0 & c0_1(a652)) & c3_1(a652)) & (~c2_1(a652))))) & ((~hskp9) | (((ndr1_0 & (~c0_1(a654))) & (~c1_1(a654))) & (~c2_1(a654))))) & ((~hskp10) | (((ndr1_0 & c0_1(a656)) & c2_1(a656)) & (~c1_1(a656))))) & ((~hskp11) | (((ndr1_0 & c0_1(a657)) & c2_1(a657)) & (~c3_1(a657))))) & ((~hskp12) | (((ndr1_0 & c0_1(a660)) & (~c1_1(a660))) & (~c2_1(a660))))) & ((~hskp13) | (((ndr1_0 & c0_1(a661)) & (~c1_1(a661))) & (~c3_1(a661))))) & ((~hskp14) | (((ndr1_0 & c2_1(a665)) & (~c0_1(a665))) & (~c1_1(a665))))) & ((~hskp15) | (((ndr1_0 & c3_1(a667)) & (~c0_1(a667))) & (~c2_1(a667))))) & ((~hskp16) | (((ndr1_0 & c1_1(a672)) & (~c2_1(a672))) & (~c3_1(a672))))) & ((~hskp17) | (((ndr1_0 & c2_1(a675)) & (~c1_1(a675))) & (~c3_1(a675))))) & ((~hskp18) | (((ndr1_0 & c0_1(a676)) & c1_1(a676)) & (~c2_1(a676))))) & ((~hskp19) | (((ndr1_0 & c3_1(a682)) & (~c1_1(a682))) & (~c2_1(a682))))) & ((~hskp20) | (((ndr1_0 & c1_1(a686)) & c2_1(a686)) & (~c3_1(a686))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a691))) & (~c1_1(a691))) & (~c3_1(a691))))) & ((~hskp22) | (((ndr1_0 & c2_1(a693)) & c3_1(a693)) & (~c0_1(a693))))) & ((~hskp23) | (((ndr1_0 & c2_1(a695)) & (~c0_1(a695))) & (~c3_1(a695))))) & ((~hskp24) | (((ndr1_0 & c1_1(a698)) & (~c0_1(a698))) & (~c2_1(a698))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a710))) & (~c2_1(a710))) & (~c3_1(a710))))) & ((~hskp26) | (((ndr1_0 & c0_1(a640)) & c1_1(a640)) & c3_1(a640)))) & ((~hskp27) | (((ndr1_0 & c0_1(a655)) & c2_1(a655)) & c3_1(a655)))) & ((~hskp28) | (((ndr1_0 & c0_1(a671)) & c1_1(a671)) & c2_1(a671)))) & ((~hskp29) | (((ndr1_0 & c1_1(a688)) & c2_1(a688)) & c3_1(a688)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | hskp26) | hskp0)) & ((![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | c3_1(V))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | (~c2_1(W))))) | ![X: $i] : (ndr1_0 => ((c2_1(X) | (~c0_1(X))) | (~c1_1(X)))))) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c0_1(Z) | (~c2_1(Z))) | (~c3_1(Z))))) | hskp1)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c3_1(X1))) | hskp2) | hskp0)) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | hskp3) | hskp4)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c2_1(X3)))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | c3_1(X4)) | (~c2_1(X4))))) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | (~c2_1(X5)))) | hskp6) | hskp2)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c3_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | hskp2)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c3_1(X9))))) | hskp7)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c3_1(X10)))) | ![X11: $i] : (ndr1_0 => (((~c0_1(X11)) | (~c1_1(X11))) | (~c2_1(X11))))) | hskp8)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c1_1(X13)) | (~c2_1(X13))) | (~c3_1(X13))))) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | c3_1(X14))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15)))) | ![X16: $i] : (ndr1_0 => (((~c0_1(X16)) | (~c1_1(X16))) | (~c3_1(X16)))))) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c2_1(X17)) | c3_1(X17))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c2_1(X18))))) | hskp9)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c3_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c1_1(X20) | c2_1(X20)) | (~c3_1(X20))))) | hskp27)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c3_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c2_1(X22) | (~c0_1(X22))) | (~c1_1(X22))))) | hskp10)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c3_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c0_1(X24) | (~c1_1(X24))) | (~c2_1(X24))))) | ![X25: $i] : (ndr1_0 => ((c1_1(X25) | c2_1(X25)) | (~c0_1(X25)))))) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c3_1(X27))))) | hskp11)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | (~c2_1(X29))) | (~c3_1(X29))))) | hskp27)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c1_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp6)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c3_1(X32)) | (~c1_1(X32)))) | hskp12) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c2_1(X33)))) | hskp6) | hskp3)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c1_1(X36))) | (~c2_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c1_1(X37))) | (~c2_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | (~c2_1(X38))) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => (((~c1_1(X39)) | (~c2_1(X39))) | (~c3_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c1_1(X40))) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c0_1(X41))))) | ![X42: $i] : (ndr1_0 => ((c2_1(X42) | (~c0_1(X42))) | (~c1_1(X42)))))) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | (~c2_1(X43))) | (~c3_1(X43)))) | ![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c0_1(X44))))) | hskp7)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | (~c2_1(X45))) | (~c3_1(X45)))) | hskp14) | hskp4)) & ((![X46: $i] : (ndr1_0 => ((c0_1(X46) | (~c2_1(X46))) | (~c3_1(X46)))) | hskp15) | hskp9)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | c3_1(X47))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48))))) | hskp4)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c2_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | c3_1(X50)) | (~c0_1(X50))))) | hskp12)) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51)))) | hskp28) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c3_1(X52)) | (~c0_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c2_1(X54)))))) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | c3_1(X55)) | (~c0_1(X55)))) | ![X56: $i] : (ndr1_0 => (((~c0_1(X56)) | (~c1_1(X56))) | (~c2_1(X56))))) | hskp7)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58))))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | (~c0_1(X59))) | (~c1_1(X59)))))) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60)))) | hskp28) | hskp17)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c0_1(X61))) | (~c3_1(X61)))) | hskp18) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c1_1(X62) | (~c2_1(X62))) | (~c3_1(X62)))) | ![X63: $i] : (ndr1_0 => ((c3_1(X63) | (~c0_1(X63))) | (~c1_1(X63))))) | hskp9)) & ((![X64: $i] : (ndr1_0 => ((c1_1(X64) | (~c2_1(X64))) | (~c3_1(X64)))) | hskp17) | hskp7)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | hskp17) | hskp19)) & (![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | ![X67: $i] : (ndr1_0 => ((c3_1(X67) | (~c0_1(X67))) | (~c2_1(X67)))))) & ((![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c0_1(X68)))) | ![X69: $i] : (ndr1_0 => (((~c1_1(X69)) | (~c2_1(X69))) | (~c3_1(X69))))) | hskp11)) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c0_1(X70)))) | hskp8) | hskp19)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp20) | hskp5)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp29) | hskp5)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c3_1(X73)))) | hskp11) | hskp21)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp20) | hskp22)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c0_1(X75))) | (~c3_1(X75)))) | hskp5) | hskp23)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c1_1(X76))) | (~c3_1(X76)))) | ![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77))))) | hskp8)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp2) | hskp24)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp3) | hskp15)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c2_1(X80)))) | hskp1) | hskp29)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp12) | hskp20)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | hskp15) | hskp9)) & ((![X83: $i] : (ndr1_0 => ((c3_1(X83) | (~c1_1(X83))) | (~c2_1(X83)))) | hskp10) | hskp29)) & ((![X84: $i] : (ndr1_0 => (((~c0_1(X84)) | (~c1_1(X84))) | (~c2_1(X84)))) | hskp23) | hskp25)) & ((hskp18 | hskp1) | hskp7)) & ((hskp18 | hskp2) | hskp20)) & ((hskp1 | hskp14) | hskp17)) & ((hskp2 | hskp22) | hskp19)) & ((hskp20 | hskp24) | hskp0)) & ((hskp24 | hskp14) | hskp17)))) <=> (~(~(((~hskp0) | (ndr1_0 & c2_1(a641) & c3_1(a641) & (~c1_1(a641)))) & ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) & ((~hskp2) | (ndr1_0 & c1_1(a643) & c2_1(a643) & (~c0_1(a643)))) & ((~hskp3) | (ndr1_0 & c1_1(a645) & c3_1(a645) & (~c2_1(a645)))) & ((~hskp4) | (ndr1_0 & (~c1_1(a646)) & (~c2_1(a646)) & (~c3_1(a646)))) & ((~hskp5) | (ndr1_0 & c1_1(a647) & (~c0_1(a647)) & (~c3_1(a647)))) & ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) & ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) & ((~hskp8) | (ndr1_0 & c0_1(a652) & c3_1(a652) & (~c2_1(a652)))) & ((~hskp9) | (ndr1_0 & (~c0_1(a654)) & (~c1_1(a654)) & (~c2_1(a654)))) & ((~hskp10) | (ndr1_0 & c0_1(a656) & c2_1(a656) & (~c1_1(a656)))) & ((~hskp11) | (ndr1_0 & c0_1(a657) & c2_1(a657) & (~c3_1(a657)))) & ((~hskp12) | (ndr1_0 & c0_1(a660) & (~c1_1(a660)) & (~c2_1(a660)))) & ((~hskp13) | (ndr1_0 & c0_1(a661) & (~c1_1(a661)) & (~c3_1(a661)))) & ((~hskp14) | (ndr1_0 & c2_1(a665) & (~c0_1(a665)) & (~c1_1(a665)))) & ((~hskp15) | (ndr1_0 & c3_1(a667) & (~c0_1(a667)) & (~c2_1(a667)))) & ((~hskp16) | (ndr1_0 & c1_1(a672) & (~c2_1(a672)) & (~c3_1(a672)))) & ((~hskp17) | (ndr1_0 & c2_1(a675) & (~c1_1(a675)) & (~c3_1(a675)))) & ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) & ((~hskp19) | (ndr1_0 & c3_1(a682) & (~c1_1(a682)) & (~c2_1(a682)))) & ((~hskp20) | (ndr1_0 & c1_1(a686) & c2_1(a686) & (~c3_1(a686)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a691)) & (~c1_1(a691)) & (~c3_1(a691)))) & ((~hskp22) | (ndr1_0 & c2_1(a693) & c3_1(a693) & (~c0_1(a693)))) & ((~hskp23) | (ndr1_0 & c2_1(a695) & (~c0_1(a695)) & (~c3_1(a695)))) & ((~hskp24) | (ndr1_0 & c1_1(a698) & (~c0_1(a698)) & (~c2_1(a698)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a710)) & (~c2_1(a710)) & (~c3_1(a710)))) & ((~hskp26) | (ndr1_0 & c0_1(a640) & c1_1(a640) & c3_1(a640))) & ((~hskp27) | (ndr1_0 & c0_1(a655) & c2_1(a655) & c3_1(a655))) & ((~hskp28) | (ndr1_0 & c0_1(a671) & c1_1(a671) & c2_1(a671))) & ((~hskp29) | (ndr1_0 & c1_1(a688) & c2_1(a688) & c3_1(a688))) & (hskp0 | hskp26 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) & (![V: $i] : (c1_1(V) | c0_1(V) | c3_1(V) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c0_1(W) | (~c2_1(W)) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | (~c1_1(X)) | (~c0_1(X)) | (~ndr1_0))) & (hskp1 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c0_1(Z) | (~c2_1(Z)) | (~c3_1(Z)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | c3_1(X1) | (~ndr1_0))) & (hskp3 | hskp4 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))) & (hskp5 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | c3_1(X4) | (~c2_1(X4)) | (~ndr1_0))) & (hskp2 | hskp6 | ![X5: $i] : (c1_1(X5) | c0_1(X5) | (~c2_1(X5)) | (~ndr1_0))) & (hskp2 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0))) & (hskp7 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c3_1(X9)) | (~ndr1_0))) & (hskp8 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c3_1(X10)) | (~ndr1_0)) | ![X11: $i] : ((~c2_1(X11)) | (~c1_1(X11)) | (~c0_1(X11)) | (~ndr1_0))) & (hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c2_1(X13)) | (~c1_1(X13)) | (~c3_1(X13)) | (~ndr1_0))) & (![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : ((~c1_1(X16)) | (~c0_1(X16)) | (~c3_1(X16)) | (~ndr1_0))) & (hskp9 | ![X17: $i] : (c2_1(X17) | c0_1(X17) | c3_1(X17) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp27 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c2_1(X20) | c1_1(X20) | (~c3_1(X20)) | (~ndr1_0))) & (hskp10 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c3_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | (~c1_1(X22)) | (~c0_1(X22)) | (~ndr1_0))) & (![X23: $i] : (c0_1(X23) | c3_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c2_1(X25) | c1_1(X25) | (~c0_1(X25)) | (~ndr1_0))) & (hskp11 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c3_1(X27)) | (~ndr1_0))) & (hskp27 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c2_1(X29)) | (~c3_1(X29)) | (~ndr1_0))) & (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X32: $i] : (c0_1(X32) | c3_1(X32) | (~c1_1(X32)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : ((~c2_1(X36)) | (~c1_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c0_1(X37) | (~c2_1(X37)) | (~c1_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c1_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : ((~c2_1(X39)) | (~c1_1(X39)) | (~c3_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c0_1(X40) | (~c1_1(X40)) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c1_1(X42)) | (~c0_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp7 | ![X43: $i] : (c0_1(X43) | (~c2_1(X43)) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp4 | hskp14 | ![X45: $i] : (c0_1(X45) | (~c2_1(X45)) | (~c3_1(X45)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X46: $i] : (c0_1(X46) | (~c2_1(X46)) | (~c3_1(X46)) | (~ndr1_0))) & (hskp4 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0))) & (hskp12 | ![X49: $i] : (c2_1(X49) | c1_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | c3_1(X50) | (~c0_1(X50)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (![X52: $i] : (c1_1(X52) | c3_1(X52) | (~c0_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c2_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp7 | ![X55: $i] : (c1_1(X55) | c3_1(X55) | (~c0_1(X55)) | (~ndr1_0)) | ![X56: $i] : ((~c2_1(X56)) | (~c1_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (![X57: $i] : (c1_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c1_1(X59)) | (~c0_1(X59)) | (~ndr1_0)) | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c3_1(X58)) | (~ndr1_0))) & (hskp17 | hskp28 | ![X60: $i] : (c1_1(X60) | (~c0_1(X60)) | (~c3_1(X60)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X61: $i] : (c1_1(X61) | (~c0_1(X61)) | (~c3_1(X61)) | (~ndr1_0))) & (hskp9 | ![X62: $i] : (c1_1(X62) | (~c2_1(X62)) | (~c3_1(X62)) | (~ndr1_0)) | ![X63: $i] : (c3_1(X63) | (~c1_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp7 | hskp17 | ![X64: $i] : (c1_1(X64) | (~c2_1(X64)) | (~c3_1(X64)) | (~ndr1_0))) & (hskp17 | hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0))) & (![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)) | ![X67: $i] : (c3_1(X67) | (~c2_1(X67)) | (~c0_1(X67)) | (~ndr1_0))) & (hskp11 | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c0_1(X68)) | (~ndr1_0)) | ![X69: $i] : ((~c2_1(X69)) | (~c1_1(X69)) | (~c3_1(X69)) | (~ndr1_0))) & (hskp8 | hskp19 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c0_1(X70)) | (~ndr1_0))) & (hskp5 | hskp20 | ![X71: $i] : (c2_1(X71) | c3_1(X71) | (~c0_1(X71)) | (~ndr1_0))) & (hskp5 | hskp29 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp11 | hskp21 | ![X73: $i] : (c2_1(X73) | (~c0_1(X73)) | (~c3_1(X73)) | (~ndr1_0))) & (hskp20 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp5 | hskp23 | ![X75: $i] : (c2_1(X75) | (~c0_1(X75)) | (~c3_1(X75)) | (~ndr1_0))) & (hskp8 | ![X76: $i] : (c2_1(X76) | (~c1_1(X76)) | (~c3_1(X76)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c1_1(X77)) | (~c3_1(X77)) | (~ndr1_0))) & (hskp2 | hskp24 | ![X78: $i] : (c2_1(X78) | (~c1_1(X78)) | (~c3_1(X78)) | (~ndr1_0))) & (hskp3 | hskp15 | ![X79: $i] : (c2_1(X79) | (~c1_1(X79)) | (~c3_1(X79)) | (~ndr1_0))) & (hskp1 | hskp29 | ![X80: $i] : (c3_1(X80) | (~c2_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp12 | hskp20 | ![X81: $i] : (c3_1(X81) | (~c2_1(X81)) | (~c0_1(X81)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X82: $i] : (c3_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0))) & (hskp10 | hskp29 | ![X83: $i] : (c3_1(X83) | (~c2_1(X83)) | (~c1_1(X83)) | (~ndr1_0))) & (hskp23 | hskp25 | ![X84: $i] : ((~c2_1(X84)) | (~c1_1(X84)) | (~c0_1(X84)) | (~ndr1_0))) & (hskp1 | hskp7 | hskp18) & (hskp2 | hskp18 | hskp20) & (hskp1 | hskp14 | hskp17) & (hskp2 | hskp19 | hskp22) & (hskp0 | hskp20 | hskp24) & (hskp14 | hskp17 | hskp24))))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[13])).
% 0.19/0.50 tff(15,plain,
% 0.19/0.50 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c2_1(a641)) & c3_1(a641)) & (~c1_1(a641)))) & ((~hskp1) | (((ndr1_0 & c0_1(a642)) & c3_1(a642)) & (~c1_1(a642))))) & ((~hskp2) | (((ndr1_0 & c1_1(a643)) & c2_1(a643)) & (~c0_1(a643))))) & ((~hskp3) | (((ndr1_0 & c1_1(a645)) & c3_1(a645)) & (~c2_1(a645))))) & ((~hskp4) | (((ndr1_0 & (~c1_1(a646))) & (~c2_1(a646))) & (~c3_1(a646))))) & ((~hskp5) | (((ndr1_0 & c1_1(a647)) & (~c0_1(a647))) & (~c3_1(a647))))) & ((~hskp6) | (((ndr1_0 & c0_1(a648)) & (~c2_1(a648))) & (~c3_1(a648))))) & ((~hskp7) | (((ndr1_0 & c3_1(a651)) & (~c0_1(a651))) & (~c1_1(a651))))) & ((~hskp8) | (((ndr1_0 & c0_1(a652)) & c3_1(a652)) & (~c2_1(a652))))) & ((~hskp9) | (((ndr1_0 & (~c0_1(a654))) & (~c1_1(a654))) & (~c2_1(a654))))) & ((~hskp10) | (((ndr1_0 & c0_1(a656)) & c2_1(a656)) & (~c1_1(a656))))) & ((~hskp11) | (((ndr1_0 & c0_1(a657)) & c2_1(a657)) & (~c3_1(a657))))) & ((~hskp12) | (((ndr1_0 & c0_1(a660)) & (~c1_1(a660))) & (~c2_1(a660))))) & ((~hskp13) | (((ndr1_0 & c0_1(a661)) & (~c1_1(a661))) & (~c3_1(a661))))) & ((~hskp14) | (((ndr1_0 & c2_1(a665)) & (~c0_1(a665))) & (~c1_1(a665))))) & ((~hskp15) | (((ndr1_0 & c3_1(a667)) & (~c0_1(a667))) & (~c2_1(a667))))) & ((~hskp16) | (((ndr1_0 & c1_1(a672)) & (~c2_1(a672))) & (~c3_1(a672))))) & ((~hskp17) | (((ndr1_0 & c2_1(a675)) & (~c1_1(a675))) & (~c3_1(a675))))) & ((~hskp18) | (((ndr1_0 & c0_1(a676)) & c1_1(a676)) & (~c2_1(a676))))) & ((~hskp19) | (((ndr1_0 & c3_1(a682)) & (~c1_1(a682))) & (~c2_1(a682))))) & ((~hskp20) | (((ndr1_0 & c1_1(a686)) & c2_1(a686)) & (~c3_1(a686))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a691))) & (~c1_1(a691))) & (~c3_1(a691))))) & ((~hskp22) | (((ndr1_0 & c2_1(a693)) & c3_1(a693)) & (~c0_1(a693))))) & ((~hskp23) | (((ndr1_0 & c2_1(a695)) & (~c0_1(a695))) & (~c3_1(a695))))) & ((~hskp24) | (((ndr1_0 & c1_1(a698)) & (~c0_1(a698))) & (~c2_1(a698))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a710))) & (~c2_1(a710))) & (~c3_1(a710))))) & ((~hskp26) | (((ndr1_0 & c0_1(a640)) & c1_1(a640)) & c3_1(a640)))) & ((~hskp27) | (((ndr1_0 & c0_1(a655)) & c2_1(a655)) & c3_1(a655)))) & ((~hskp28) | (((ndr1_0 & c0_1(a671)) & c1_1(a671)) & c2_1(a671)))) & ((~hskp29) | (((ndr1_0 & c1_1(a688)) & c2_1(a688)) & c3_1(a688)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | hskp26) | hskp0)) & ((![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | c3_1(V))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | (~c2_1(W))))) | ![X: $i] : (ndr1_0 => ((c2_1(X) | (~c0_1(X))) | (~c1_1(X)))))) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c0_1(Z) | (~c2_1(Z))) | (~c3_1(Z))))) | hskp1)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c3_1(X1))) | hskp2) | hskp0)) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | hskp3) | hskp4)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c2_1(X3)))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | c3_1(X4)) | (~c2_1(X4))))) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | (~c2_1(X5)))) | hskp6) | hskp2)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c3_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | hskp2)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c3_1(X9))))) | hskp7)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c3_1(X10)))) | ![X11: $i] : (ndr1_0 => (((~c0_1(X11)) | (~c1_1(X11))) | (~c2_1(X11))))) | hskp8)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c1_1(X13)) | (~c2_1(X13))) | (~c3_1(X13))))) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | c3_1(X14))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15)))) | ![X16: $i] : (ndr1_0 => (((~c0_1(X16)) | (~c1_1(X16))) | (~c3_1(X16)))))) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c2_1(X17)) | c3_1(X17))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c2_1(X18))))) | hskp9)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c3_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c1_1(X20) | c2_1(X20)) | (~c3_1(X20))))) | hskp27)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c3_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c2_1(X22) | (~c0_1(X22))) | (~c1_1(X22))))) | hskp10)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c3_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c0_1(X24) | (~c1_1(X24))) | (~c2_1(X24))))) | ![X25: $i] : (ndr1_0 => ((c1_1(X25) | c2_1(X25)) | (~c0_1(X25)))))) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c3_1(X27))))) | hskp11)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | (~c2_1(X29))) | (~c3_1(X29))))) | hskp27)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c1_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp6)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c3_1(X32)) | (~c1_1(X32)))) | hskp12) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c2_1(X33)))) | hskp6) | hskp3)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c1_1(X36))) | (~c2_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c1_1(X37))) | (~c2_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | (~c2_1(X38))) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => (((~c1_1(X39)) | (~c2_1(X39))) | (~c3_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c1_1(X40))) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c0_1(X41))))) | ![X42: $i] : (ndr1_0 => ((c2_1(X42) | (~c0_1(X42))) | (~c1_1(X42)))))) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | (~c2_1(X43))) | (~c3_1(X43)))) | ![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c0_1(X44))))) | hskp7)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | (~c2_1(X45))) | (~c3_1(X45)))) | hskp14) | hskp4)) & ((![X46: $i] : (ndr1_0 => ((c0_1(X46) | (~c2_1(X46))) | (~c3_1(X46)))) | hskp15) | hskp9)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | c3_1(X47))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48))))) | hskp4)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c2_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | c3_1(X50)) | (~c0_1(X50))))) | hskp12)) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51)))) | hskp28) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c3_1(X52)) | (~c0_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c2_1(X54)))))) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | c3_1(X55)) | (~c0_1(X55)))) | ![X56: $i] : (ndr1_0 => (((~c0_1(X56)) | (~c1_1(X56))) | (~c2_1(X56))))) | hskp7)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58))))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | (~c0_1(X59))) | (~c1_1(X59)))))) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60)))) | hskp28) | hskp17)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c0_1(X61))) | (~c3_1(X61)))) | hskp18) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c1_1(X62) | (~c2_1(X62))) | (~c3_1(X62)))) | ![X63: $i] : (ndr1_0 => ((c3_1(X63) | (~c0_1(X63))) | (~c1_1(X63))))) | hskp9)) & ((![X64: $i] : (ndr1_0 => ((c1_1(X64) | (~c2_1(X64))) | (~c3_1(X64)))) | hskp17) | hskp7)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | hskp17) | hskp19)) & (![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | ![X67: $i] : (ndr1_0 => ((c3_1(X67) | (~c0_1(X67))) | (~c2_1(X67)))))) & ((![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c0_1(X68)))) | ![X69: $i] : (ndr1_0 => (((~c1_1(X69)) | (~c2_1(X69))) | (~c3_1(X69))))) | hskp11)) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c0_1(X70)))) | hskp8) | hskp19)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp20) | hskp5)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp29) | hskp5)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c3_1(X73)))) | hskp11) | hskp21)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp20) | hskp22)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c0_1(X75))) | (~c3_1(X75)))) | hskp5) | hskp23)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c1_1(X76))) | (~c3_1(X76)))) | ![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77))))) | hskp8)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp2) | hskp24)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp3) | hskp15)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c2_1(X80)))) | hskp1) | hskp29)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp12) | hskp20)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | hskp15) | hskp9)) & ((![X83: $i] : (ndr1_0 => ((c3_1(X83) | (~c1_1(X83))) | (~c2_1(X83)))) | hskp10) | hskp29)) & ((![X84: $i] : (ndr1_0 => (((~c0_1(X84)) | (~c1_1(X84))) | (~c2_1(X84)))) | hskp23) | hskp25)) & ((hskp18 | hskp1) | hskp7)) & ((hskp18 | hskp2) | hskp20)) & ((hskp1 | hskp14) | hskp17)) & ((hskp2 | hskp22) | hskp19)) & ((hskp20 | hskp24) | hskp0)) & ((hskp24 | hskp14) | hskp17)))) <=> (((~hskp0) | (ndr1_0 & c2_1(a641) & c3_1(a641) & (~c1_1(a641)))) & ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) & ((~hskp2) | (ndr1_0 & c1_1(a643) & c2_1(a643) & (~c0_1(a643)))) & ((~hskp3) | (ndr1_0 & c1_1(a645) & c3_1(a645) & (~c2_1(a645)))) & ((~hskp4) | (ndr1_0 & (~c1_1(a646)) & (~c2_1(a646)) & (~c3_1(a646)))) & ((~hskp5) | (ndr1_0 & c1_1(a647) & (~c0_1(a647)) & (~c3_1(a647)))) & ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) & ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) & ((~hskp8) | (ndr1_0 & c0_1(a652) & c3_1(a652) & (~c2_1(a652)))) & ((~hskp9) | (ndr1_0 & (~c0_1(a654)) & (~c1_1(a654)) & (~c2_1(a654)))) & ((~hskp10) | (ndr1_0 & c0_1(a656) & c2_1(a656) & (~c1_1(a656)))) & ((~hskp11) | (ndr1_0 & c0_1(a657) & c2_1(a657) & (~c3_1(a657)))) & ((~hskp12) | (ndr1_0 & c0_1(a660) & (~c1_1(a660)) & (~c2_1(a660)))) & ((~hskp13) | (ndr1_0 & c0_1(a661) & (~c1_1(a661)) & (~c3_1(a661)))) & ((~hskp14) | (ndr1_0 & c2_1(a665) & (~c0_1(a665)) & (~c1_1(a665)))) & ((~hskp15) | (ndr1_0 & c3_1(a667) & (~c0_1(a667)) & (~c2_1(a667)))) & ((~hskp16) | (ndr1_0 & c1_1(a672) & (~c2_1(a672)) & (~c3_1(a672)))) & ((~hskp17) | (ndr1_0 & c2_1(a675) & (~c1_1(a675)) & (~c3_1(a675)))) & ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) & ((~hskp19) | (ndr1_0 & c3_1(a682) & (~c1_1(a682)) & (~c2_1(a682)))) & ((~hskp20) | (ndr1_0 & c1_1(a686) & c2_1(a686) & (~c3_1(a686)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a691)) & (~c1_1(a691)) & (~c3_1(a691)))) & ((~hskp22) | (ndr1_0 & c2_1(a693) & c3_1(a693) & (~c0_1(a693)))) & ((~hskp23) | (ndr1_0 & c2_1(a695) & (~c0_1(a695)) & (~c3_1(a695)))) & ((~hskp24) | (ndr1_0 & c1_1(a698) & (~c0_1(a698)) & (~c2_1(a698)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a710)) & (~c2_1(a710)) & (~c3_1(a710)))) & ((~hskp26) | (ndr1_0 & c0_1(a640) & c1_1(a640) & c3_1(a640))) & ((~hskp27) | (ndr1_0 & c0_1(a655) & c2_1(a655) & c3_1(a655))) & ((~hskp28) | (ndr1_0 & c0_1(a671) & c1_1(a671) & c2_1(a671))) & ((~hskp29) | (ndr1_0 & c1_1(a688) & c2_1(a688) & c3_1(a688))) & (hskp0 | hskp26 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) & (![V: $i] : (c1_1(V) | c0_1(V) | c3_1(V) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c0_1(W) | (~c2_1(W)) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | (~c1_1(X)) | (~c0_1(X)) | (~ndr1_0))) & (hskp1 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c0_1(Z) | (~c2_1(Z)) | (~c3_1(Z)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | c3_1(X1) | (~ndr1_0))) & (hskp3 | hskp4 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))) & (hskp5 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | c3_1(X4) | (~c2_1(X4)) | (~ndr1_0))) & (hskp2 | hskp6 | ![X5: $i] : (c1_1(X5) | c0_1(X5) | (~c2_1(X5)) | (~ndr1_0))) & (hskp2 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0))) & (hskp7 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c3_1(X9)) | (~ndr1_0))) & (hskp8 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c3_1(X10)) | (~ndr1_0)) | ![X11: $i] : ((~c2_1(X11)) | (~c1_1(X11)) | (~c0_1(X11)) | (~ndr1_0))) & (hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c2_1(X13)) | (~c1_1(X13)) | (~c3_1(X13)) | (~ndr1_0))) & (![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : ((~c1_1(X16)) | (~c0_1(X16)) | (~c3_1(X16)) | (~ndr1_0))) & (hskp9 | ![X17: $i] : (c2_1(X17) | c0_1(X17) | c3_1(X17) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp27 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c2_1(X20) | c1_1(X20) | (~c3_1(X20)) | (~ndr1_0))) & (hskp10 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c3_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | (~c1_1(X22)) | (~c0_1(X22)) | (~ndr1_0))) & (![X23: $i] : (c0_1(X23) | c3_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c2_1(X25) | c1_1(X25) | (~c0_1(X25)) | (~ndr1_0))) & (hskp11 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c3_1(X27)) | (~ndr1_0))) & (hskp27 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c2_1(X29)) | (~c3_1(X29)) | (~ndr1_0))) & (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X32: $i] : (c0_1(X32) | c3_1(X32) | (~c1_1(X32)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : ((~c2_1(X36)) | (~c1_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c0_1(X37) | (~c2_1(X37)) | (~c1_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c1_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : ((~c2_1(X39)) | (~c1_1(X39)) | (~c3_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c0_1(X40) | (~c1_1(X40)) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c1_1(X42)) | (~c0_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp7 | ![X43: $i] : (c0_1(X43) | (~c2_1(X43)) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp4 | hskp14 | ![X45: $i] : (c0_1(X45) | (~c2_1(X45)) | (~c3_1(X45)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X46: $i] : (c0_1(X46) | (~c2_1(X46)) | (~c3_1(X46)) | (~ndr1_0))) & (hskp4 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0))) & (hskp12 | ![X49: $i] : (c2_1(X49) | c1_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | c3_1(X50) | (~c0_1(X50)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (![X52: $i] : (c1_1(X52) | c3_1(X52) | (~c0_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c2_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp7 | ![X55: $i] : (c1_1(X55) | c3_1(X55) | (~c0_1(X55)) | (~ndr1_0)) | ![X56: $i] : ((~c2_1(X56)) | (~c1_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (![X57: $i] : (c1_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c1_1(X59)) | (~c0_1(X59)) | (~ndr1_0)) | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c3_1(X58)) | (~ndr1_0))) & (hskp17 | hskp28 | ![X60: $i] : (c1_1(X60) | (~c0_1(X60)) | (~c3_1(X60)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X61: $i] : (c1_1(X61) | (~c0_1(X61)) | (~c3_1(X61)) | (~ndr1_0))) & (hskp9 | ![X62: $i] : (c1_1(X62) | (~c2_1(X62)) | (~c3_1(X62)) | (~ndr1_0)) | ![X63: $i] : (c3_1(X63) | (~c1_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp7 | hskp17 | ![X64: $i] : (c1_1(X64) | (~c2_1(X64)) | (~c3_1(X64)) | (~ndr1_0))) & (hskp17 | hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0))) & (![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)) | ![X67: $i] : (c3_1(X67) | (~c2_1(X67)) | (~c0_1(X67)) | (~ndr1_0))) & (hskp11 | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c0_1(X68)) | (~ndr1_0)) | ![X69: $i] : ((~c2_1(X69)) | (~c1_1(X69)) | (~c3_1(X69)) | (~ndr1_0))) & (hskp8 | hskp19 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c0_1(X70)) | (~ndr1_0))) & (hskp5 | hskp20 | ![X71: $i] : (c2_1(X71) | c3_1(X71) | (~c0_1(X71)) | (~ndr1_0))) & (hskp5 | hskp29 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp11 | hskp21 | ![X73: $i] : (c2_1(X73) | (~c0_1(X73)) | (~c3_1(X73)) | (~ndr1_0))) & (hskp20 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp5 | hskp23 | ![X75: $i] : (c2_1(X75) | (~c0_1(X75)) | (~c3_1(X75)) | (~ndr1_0))) & (hskp8 | ![X76: $i] : (c2_1(X76) | (~c1_1(X76)) | (~c3_1(X76)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c1_1(X77)) | (~c3_1(X77)) | (~ndr1_0))) & (hskp2 | hskp24 | ![X78: $i] : (c2_1(X78) | (~c1_1(X78)) | (~c3_1(X78)) | (~ndr1_0))) & (hskp3 | hskp15 | ![X79: $i] : (c2_1(X79) | (~c1_1(X79)) | (~c3_1(X79)) | (~ndr1_0))) & (hskp1 | hskp29 | ![X80: $i] : (c3_1(X80) | (~c2_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp12 | hskp20 | ![X81: $i] : (c3_1(X81) | (~c2_1(X81)) | (~c0_1(X81)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X82: $i] : (c3_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0))) & (hskp10 | hskp29 | ![X83: $i] : (c3_1(X83) | (~c2_1(X83)) | (~c1_1(X83)) | (~ndr1_0))) & (hskp23 | hskp25 | ![X84: $i] : ((~c2_1(X84)) | (~c1_1(X84)) | (~c0_1(X84)) | (~ndr1_0))) & (hskp1 | hskp7 | hskp18) & (hskp2 | hskp18 | hskp20) & (hskp1 | hskp14 | hskp17) & (hskp2 | hskp19 | hskp22) & (hskp0 | hskp20 | hskp24) & (hskp14 | hskp17 | hskp24))),
% 0.19/0.51 inference(transitivity,[status(thm)],[14, 12])).
% 0.19/0.51 tff(16,axiom,(~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & c2_1(a641)) & c3_1(a641)) & (~c1_1(a641)))) & ((~hskp1) | (((ndr1_0 & c0_1(a642)) & c3_1(a642)) & (~c1_1(a642))))) & ((~hskp2) | (((ndr1_0 & c1_1(a643)) & c2_1(a643)) & (~c0_1(a643))))) & ((~hskp3) | (((ndr1_0 & c1_1(a645)) & c3_1(a645)) & (~c2_1(a645))))) & ((~hskp4) | (((ndr1_0 & (~c1_1(a646))) & (~c2_1(a646))) & (~c3_1(a646))))) & ((~hskp5) | (((ndr1_0 & c1_1(a647)) & (~c0_1(a647))) & (~c3_1(a647))))) & ((~hskp6) | (((ndr1_0 & c0_1(a648)) & (~c2_1(a648))) & (~c3_1(a648))))) & ((~hskp7) | (((ndr1_0 & c3_1(a651)) & (~c0_1(a651))) & (~c1_1(a651))))) & ((~hskp8) | (((ndr1_0 & c0_1(a652)) & c3_1(a652)) & (~c2_1(a652))))) & ((~hskp9) | (((ndr1_0 & (~c0_1(a654))) & (~c1_1(a654))) & (~c2_1(a654))))) & ((~hskp10) | (((ndr1_0 & c0_1(a656)) & c2_1(a656)) & (~c1_1(a656))))) & ((~hskp11) | (((ndr1_0 & c0_1(a657)) & c2_1(a657)) & (~c3_1(a657))))) & ((~hskp12) | (((ndr1_0 & c0_1(a660)) & (~c1_1(a660))) & (~c2_1(a660))))) & ((~hskp13) | (((ndr1_0 & c0_1(a661)) & (~c1_1(a661))) & (~c3_1(a661))))) & ((~hskp14) | (((ndr1_0 & c2_1(a665)) & (~c0_1(a665))) & (~c1_1(a665))))) & ((~hskp15) | (((ndr1_0 & c3_1(a667)) & (~c0_1(a667))) & (~c2_1(a667))))) & ((~hskp16) | (((ndr1_0 & c1_1(a672)) & (~c2_1(a672))) & (~c3_1(a672))))) & ((~hskp17) | (((ndr1_0 & c2_1(a675)) & (~c1_1(a675))) & (~c3_1(a675))))) & ((~hskp18) | (((ndr1_0 & c0_1(a676)) & c1_1(a676)) & (~c2_1(a676))))) & ((~hskp19) | (((ndr1_0 & c3_1(a682)) & (~c1_1(a682))) & (~c2_1(a682))))) & ((~hskp20) | (((ndr1_0 & c1_1(a686)) & c2_1(a686)) & (~c3_1(a686))))) & ((~hskp21) | (((ndr1_0 & (~c0_1(a691))) & (~c1_1(a691))) & (~c3_1(a691))))) & ((~hskp22) | (((ndr1_0 & c2_1(a693)) & c3_1(a693)) & (~c0_1(a693))))) & ((~hskp23) | (((ndr1_0 & c2_1(a695)) & (~c0_1(a695))) & (~c3_1(a695))))) & ((~hskp24) | (((ndr1_0 & c1_1(a698)) & (~c0_1(a698))) & (~c2_1(a698))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a710))) & (~c2_1(a710))) & (~c3_1(a710))))) & ((~hskp26) | (((ndr1_0 & c0_1(a640)) & c1_1(a640)) & c3_1(a640)))) & ((~hskp27) | (((ndr1_0 & c0_1(a655)) & c2_1(a655)) & c3_1(a655)))) & ((~hskp28) | (((ndr1_0 & c0_1(a671)) & c1_1(a671)) & c2_1(a671)))) & ((~hskp29) | (((ndr1_0 & c1_1(a688)) & c2_1(a688)) & c3_1(a688)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | hskp26) | hskp0)) & ((![V: $i] : (ndr1_0 => ((c0_1(V) | c1_1(V)) | c3_1(V))) | ![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | (~c2_1(W))))) | ![X: $i] : (ndr1_0 => ((c2_1(X) | (~c0_1(X))) | (~c1_1(X)))))) & ((![Y: $i] : (ndr1_0 => ((c0_1(Y) | c1_1(Y)) | c3_1(Y))) | ![Z: $i] : (ndr1_0 => ((c0_1(Z) | (~c2_1(Z))) | (~c3_1(Z))))) | hskp1)) & ((![X1: $i] : (ndr1_0 => ((c0_1(X1) | c1_1(X1)) | c3_1(X1))) | hskp2) | hskp0)) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | hskp3) | hskp4)) & ((![X3: $i] : (ndr1_0 => ((c0_1(X3) | c1_1(X3)) | (~c2_1(X3)))) | ![X4: $i] : (ndr1_0 => ((c1_1(X4) | c3_1(X4)) | (~c2_1(X4))))) | hskp5)) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | (~c2_1(X5)))) | hskp6) | hskp2)) & ((![X6: $i] : (ndr1_0 => ((c0_1(X6) | c1_1(X6)) | (~c3_1(X6)))) | ![X7: $i] : (ndr1_0 => ((c2_1(X7) | c3_1(X7)) | (~c1_1(X7))))) | hskp2)) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | (~c3_1(X8)))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c3_1(X9))))) | hskp7)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | (~c3_1(X10)))) | ![X11: $i] : (ndr1_0 => (((~c0_1(X11)) | (~c1_1(X11))) | (~c2_1(X11))))) | hskp8)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c3_1(X12)))) | ![X13: $i] : (ndr1_0 => (((~c1_1(X13)) | (~c2_1(X13))) | (~c3_1(X13))))) | hskp3)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c2_1(X14)) | c3_1(X14))) | ![X15: $i] : (ndr1_0 => ((c1_1(X15) | c2_1(X15)) | c3_1(X15)))) | ![X16: $i] : (ndr1_0 => (((~c0_1(X16)) | (~c1_1(X16))) | (~c3_1(X16)))))) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c2_1(X17)) | c3_1(X17))) | ![X18: $i] : (ndr1_0 => ((c1_1(X18) | c3_1(X18)) | (~c2_1(X18))))) | hskp9)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c2_1(X19)) | (~c3_1(X19)))) | ![X20: $i] : (ndr1_0 => ((c1_1(X20) | c2_1(X20)) | (~c3_1(X20))))) | hskp27)) & ((![X21: $i] : (ndr1_0 => ((c0_1(X21) | c2_1(X21)) | (~c3_1(X21)))) | ![X22: $i] : (ndr1_0 => ((c2_1(X22) | (~c0_1(X22))) | (~c1_1(X22))))) | hskp10)) & ((![X23: $i] : (ndr1_0 => ((c0_1(X23) | c3_1(X23)) | (~c1_1(X23)))) | ![X24: $i] : (ndr1_0 => ((c0_1(X24) | (~c1_1(X24))) | (~c2_1(X24))))) | ![X25: $i] : (ndr1_0 => ((c1_1(X25) | c2_1(X25)) | (~c0_1(X25)))))) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c3_1(X26)) | (~c1_1(X26)))) | ![X27: $i] : (ndr1_0 => ((c0_1(X27) | (~c1_1(X27))) | (~c3_1(X27))))) | hskp11)) & ((![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28)))) | ![X29: $i] : (ndr1_0 => ((c1_1(X29) | (~c2_1(X29))) | (~c3_1(X29))))) | hskp27)) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c3_1(X30)) | (~c1_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c2_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp6)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c3_1(X32)) | (~c1_1(X32)))) | hskp12) | hskp13)) & ((![X33: $i] : (ndr1_0 => ((c0_1(X33) | c3_1(X33)) | (~c2_1(X33)))) | hskp6) | hskp3)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | (~c1_1(X34))) | (~c2_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | (~c2_1(X35))) | (~c3_1(X35))))) | ![X36: $i] : (ndr1_0 => (((~c0_1(X36)) | (~c1_1(X36))) | (~c2_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | (~c1_1(X37))) | (~c2_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | (~c2_1(X38))) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => (((~c1_1(X39)) | (~c2_1(X39))) | (~c3_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | (~c1_1(X40))) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c0_1(X41))))) | ![X42: $i] : (ndr1_0 => ((c2_1(X42) | (~c0_1(X42))) | (~c1_1(X42)))))) & ((![X43: $i] : (ndr1_0 => ((c0_1(X43) | (~c2_1(X43))) | (~c3_1(X43)))) | ![X44: $i] : (ndr1_0 => ((c1_1(X44) | c3_1(X44)) | (~c0_1(X44))))) | hskp7)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | (~c2_1(X45))) | (~c3_1(X45)))) | hskp14) | hskp4)) & ((![X46: $i] : (ndr1_0 => ((c0_1(X46) | (~c2_1(X46))) | (~c3_1(X46)))) | hskp15) | hskp9)) & ((![X47: $i] : (ndr1_0 => ((c1_1(X47) | c2_1(X47)) | c3_1(X47))) | ![X48: $i] : (ndr1_0 => ((c1_1(X48) | c2_1(X48)) | (~c3_1(X48))))) | hskp4)) & ((![X49: $i] : (ndr1_0 => ((c1_1(X49) | c2_1(X49)) | (~c0_1(X49)))) | ![X50: $i] : (ndr1_0 => ((c1_1(X50) | c3_1(X50)) | (~c0_1(X50))))) | hskp12)) & ((![X51: $i] : (ndr1_0 => ((c1_1(X51) | c2_1(X51)) | (~c3_1(X51)))) | hskp28) | hskp16)) & ((![X52: $i] : (ndr1_0 => ((c1_1(X52) | c3_1(X52)) | (~c0_1(X52)))) | ![X53: $i] : (ndr1_0 => ((c1_1(X53) | (~c0_1(X53))) | (~c2_1(X53))))) | ![X54: $i] : (ndr1_0 => ((c3_1(X54) | (~c0_1(X54))) | (~c2_1(X54)))))) & ((![X55: $i] : (ndr1_0 => ((c1_1(X55) | c3_1(X55)) | (~c0_1(X55)))) | ![X56: $i] : (ndr1_0 => (((~c0_1(X56)) | (~c1_1(X56))) | (~c2_1(X56))))) | hskp7)) & ((![X57: $i] : (ndr1_0 => ((c1_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c1_1(X58) | (~c2_1(X58))) | (~c3_1(X58))))) | ![X59: $i] : (ndr1_0 => ((c2_1(X59) | (~c0_1(X59))) | (~c1_1(X59)))))) & ((![X60: $i] : (ndr1_0 => ((c1_1(X60) | (~c0_1(X60))) | (~c3_1(X60)))) | hskp28) | hskp17)) & ((![X61: $i] : (ndr1_0 => ((c1_1(X61) | (~c0_1(X61))) | (~c3_1(X61)))) | hskp18) | hskp4)) & ((![X62: $i] : (ndr1_0 => ((c1_1(X62) | (~c2_1(X62))) | (~c3_1(X62)))) | ![X63: $i] : (ndr1_0 => ((c3_1(X63) | (~c0_1(X63))) | (~c1_1(X63))))) | hskp9)) & ((![X64: $i] : (ndr1_0 => ((c1_1(X64) | (~c2_1(X64))) | (~c3_1(X64)))) | hskp17) | hskp7)) & ((![X65: $i] : (ndr1_0 => ((c1_1(X65) | (~c2_1(X65))) | (~c3_1(X65)))) | hskp17) | hskp19)) & (![X66: $i] : (ndr1_0 => ((c2_1(X66) | c3_1(X66)) | (~c0_1(X66)))) | ![X67: $i] : (ndr1_0 => ((c3_1(X67) | (~c0_1(X67))) | (~c2_1(X67)))))) & ((![X68: $i] : (ndr1_0 => ((c2_1(X68) | c3_1(X68)) | (~c0_1(X68)))) | ![X69: $i] : (ndr1_0 => (((~c1_1(X69)) | (~c2_1(X69))) | (~c3_1(X69))))) | hskp11)) & ((![X70: $i] : (ndr1_0 => ((c2_1(X70) | c3_1(X70)) | (~c0_1(X70)))) | hskp8) | hskp19)) & ((![X71: $i] : (ndr1_0 => ((c2_1(X71) | c3_1(X71)) | (~c0_1(X71)))) | hskp20) | hskp5)) & ((![X72: $i] : (ndr1_0 => ((c2_1(X72) | c3_1(X72)) | (~c1_1(X72)))) | hskp29) | hskp5)) & ((![X73: $i] : (ndr1_0 => ((c2_1(X73) | (~c0_1(X73))) | (~c3_1(X73)))) | hskp11) | hskp21)) & ((![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c3_1(X74)))) | hskp20) | hskp22)) & ((![X75: $i] : (ndr1_0 => ((c2_1(X75) | (~c0_1(X75))) | (~c3_1(X75)))) | hskp5) | hskp23)) & ((![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c1_1(X76))) | (~c3_1(X76)))) | ![X77: $i] : (ndr1_0 => (((~c1_1(X77)) | (~c2_1(X77))) | (~c3_1(X77))))) | hskp8)) & ((![X78: $i] : (ndr1_0 => ((c2_1(X78) | (~c1_1(X78))) | (~c3_1(X78)))) | hskp2) | hskp24)) & ((![X79: $i] : (ndr1_0 => ((c2_1(X79) | (~c1_1(X79))) | (~c3_1(X79)))) | hskp3) | hskp15)) & ((![X80: $i] : (ndr1_0 => ((c3_1(X80) | (~c0_1(X80))) | (~c2_1(X80)))) | hskp1) | hskp29)) & ((![X81: $i] : (ndr1_0 => ((c3_1(X81) | (~c0_1(X81))) | (~c2_1(X81)))) | hskp12) | hskp20)) & ((![X82: $i] : (ndr1_0 => ((c3_1(X82) | (~c0_1(X82))) | (~c2_1(X82)))) | hskp15) | hskp9)) & ((![X83: $i] : (ndr1_0 => ((c3_1(X83) | (~c1_1(X83))) | (~c2_1(X83)))) | hskp10) | hskp29)) & ((![X84: $i] : (ndr1_0 => (((~c0_1(X84)) | (~c1_1(X84))) | (~c2_1(X84)))) | hskp23) | hskp25)) & ((hskp18 | hskp1) | hskp7)) & ((hskp18 | hskp2) | hskp20)) & ((hskp1 | hskp14) | hskp17)) & ((hskp2 | hskp22) | hskp19)) & ((hskp20 | hskp24) | hskp0)) & ((hskp24 | hskp14) | hskp17)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co1')).
% 0.19/0.52 tff(17,plain,
% 0.19/0.52 (((~hskp0) | (ndr1_0 & c2_1(a641) & c3_1(a641) & (~c1_1(a641)))) & ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) & ((~hskp2) | (ndr1_0 & c1_1(a643) & c2_1(a643) & (~c0_1(a643)))) & ((~hskp3) | (ndr1_0 & c1_1(a645) & c3_1(a645) & (~c2_1(a645)))) & ((~hskp4) | (ndr1_0 & (~c1_1(a646)) & (~c2_1(a646)) & (~c3_1(a646)))) & ((~hskp5) | (ndr1_0 & c1_1(a647) & (~c0_1(a647)) & (~c3_1(a647)))) & ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) & ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) & ((~hskp8) | (ndr1_0 & c0_1(a652) & c3_1(a652) & (~c2_1(a652)))) & ((~hskp9) | (ndr1_0 & (~c0_1(a654)) & (~c1_1(a654)) & (~c2_1(a654)))) & ((~hskp10) | (ndr1_0 & c0_1(a656) & c2_1(a656) & (~c1_1(a656)))) & ((~hskp11) | (ndr1_0 & c0_1(a657) & c2_1(a657) & (~c3_1(a657)))) & ((~hskp12) | (ndr1_0 & c0_1(a660) & (~c1_1(a660)) & (~c2_1(a660)))) & ((~hskp13) | (ndr1_0 & c0_1(a661) & (~c1_1(a661)) & (~c3_1(a661)))) & ((~hskp14) | (ndr1_0 & c2_1(a665) & (~c0_1(a665)) & (~c1_1(a665)))) & ((~hskp15) | (ndr1_0 & c3_1(a667) & (~c0_1(a667)) & (~c2_1(a667)))) & ((~hskp16) | (ndr1_0 & c1_1(a672) & (~c2_1(a672)) & (~c3_1(a672)))) & ((~hskp17) | (ndr1_0 & c2_1(a675) & (~c1_1(a675)) & (~c3_1(a675)))) & ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))) & ((~hskp19) | (ndr1_0 & c3_1(a682) & (~c1_1(a682)) & (~c2_1(a682)))) & ((~hskp20) | (ndr1_0 & c1_1(a686) & c2_1(a686) & (~c3_1(a686)))) & ((~hskp21) | (ndr1_0 & (~c0_1(a691)) & (~c1_1(a691)) & (~c3_1(a691)))) & ((~hskp22) | (ndr1_0 & c2_1(a693) & c3_1(a693) & (~c0_1(a693)))) & ((~hskp23) | (ndr1_0 & c2_1(a695) & (~c0_1(a695)) & (~c3_1(a695)))) & ((~hskp24) | (ndr1_0 & c1_1(a698) & (~c0_1(a698)) & (~c2_1(a698)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a710)) & (~c2_1(a710)) & (~c3_1(a710)))) & ((~hskp26) | (ndr1_0 & c0_1(a640) & c1_1(a640) & c3_1(a640))) & ((~hskp27) | (ndr1_0 & c0_1(a655) & c2_1(a655) & c3_1(a655))) & ((~hskp28) | (ndr1_0 & c0_1(a671) & c1_1(a671) & c2_1(a671))) & ((~hskp29) | (ndr1_0 & c1_1(a688) & c2_1(a688) & c3_1(a688))) & (hskp0 | hskp26 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0))) & (![V: $i] : (c1_1(V) | c0_1(V) | c3_1(V) | (~ndr1_0)) | ![W: $i] : (c1_1(W) | c0_1(W) | (~c2_1(W)) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | (~c1_1(X)) | (~c0_1(X)) | (~ndr1_0))) & (hskp1 | ![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c0_1(Z) | (~c2_1(Z)) | (~c3_1(Z)) | (~ndr1_0))) & (hskp0 | hskp2 | ![X1: $i] : (c1_1(X1) | c0_1(X1) | c3_1(X1) | (~ndr1_0))) & (hskp3 | hskp4 | ![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))) & (hskp5 | ![X3: $i] : (c1_1(X3) | c0_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c1_1(X4) | c3_1(X4) | (~c2_1(X4)) | (~ndr1_0))) & (hskp2 | hskp6 | ![X5: $i] : (c1_1(X5) | c0_1(X5) | (~c2_1(X5)) | (~ndr1_0))) & (hskp2 | ![X6: $i] : (c1_1(X6) | c0_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c2_1(X7) | c3_1(X7) | (~c1_1(X7)) | (~ndr1_0))) & (hskp7 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | (~c3_1(X8)) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c3_1(X9)) | (~ndr1_0))) & (hskp8 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | (~c3_1(X10)) | (~ndr1_0)) | ![X11: $i] : ((~c2_1(X11)) | (~c1_1(X11)) | (~c0_1(X11)) | (~ndr1_0))) & (hskp3 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c3_1(X12)) | (~ndr1_0)) | ![X13: $i] : ((~c2_1(X13)) | (~c1_1(X13)) | (~c3_1(X13)) | (~ndr1_0))) & (![X14: $i] : (c2_1(X14) | c0_1(X14) | c3_1(X14) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | c1_1(X15) | c3_1(X15) | (~ndr1_0)) | ![X16: $i] : ((~c1_1(X16)) | (~c0_1(X16)) | (~c3_1(X16)) | (~ndr1_0))) & (hskp9 | ![X17: $i] : (c2_1(X17) | c0_1(X17) | c3_1(X17) | (~ndr1_0)) | ![X18: $i] : (c1_1(X18) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp27 | ![X19: $i] : (c2_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0)) | ![X20: $i] : (c2_1(X20) | c1_1(X20) | (~c3_1(X20)) | (~ndr1_0))) & (hskp10 | ![X21: $i] : (c2_1(X21) | c0_1(X21) | (~c3_1(X21)) | (~ndr1_0)) | ![X22: $i] : (c2_1(X22) | (~c1_1(X22)) | (~c0_1(X22)) | (~ndr1_0))) & (![X23: $i] : (c0_1(X23) | c3_1(X23) | (~c1_1(X23)) | (~ndr1_0)) | ![X24: $i] : (c0_1(X24) | (~c2_1(X24)) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c2_1(X25) | c1_1(X25) | (~c0_1(X25)) | (~ndr1_0))) & (hskp11 | ![X26: $i] : (c0_1(X26) | c3_1(X26) | (~c1_1(X26)) | (~ndr1_0)) | ![X27: $i] : (c0_1(X27) | (~c1_1(X27)) | (~c3_1(X27)) | (~ndr1_0))) & (hskp27 | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c1_1(X29) | (~c2_1(X29)) | (~c3_1(X29)) | (~ndr1_0))) & (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) & (hskp12 | hskp13 | ![X32: $i] : (c0_1(X32) | c3_1(X32) | (~c1_1(X32)) | (~ndr1_0))) & (hskp3 | hskp6 | ![X33: $i] : (c0_1(X33) | c3_1(X33) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c0_1(X34) | (~c2_1(X34)) | (~c1_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c1_1(X35) | (~c2_1(X35)) | (~c3_1(X35)) | (~ndr1_0)) | ![X36: $i] : ((~c2_1(X36)) | (~c1_1(X36)) | (~c0_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c0_1(X37) | (~c2_1(X37)) | (~c1_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c1_1(X38) | (~c2_1(X38)) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : ((~c2_1(X39)) | (~c1_1(X39)) | (~c3_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c0_1(X40) | (~c1_1(X40)) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c1_1(X42)) | (~c0_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c0_1(X41)) | (~ndr1_0))) & (hskp7 | ![X43: $i] : (c0_1(X43) | (~c2_1(X43)) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | c3_1(X44) | (~c0_1(X44)) | (~ndr1_0))) & (hskp4 | hskp14 | ![X45: $i] : (c0_1(X45) | (~c2_1(X45)) | (~c3_1(X45)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X46: $i] : (c0_1(X46) | (~c2_1(X46)) | (~c3_1(X46)) | (~ndr1_0))) & (hskp4 | ![X47: $i] : (c2_1(X47) | c1_1(X47) | c3_1(X47) | (~ndr1_0)) | ![X48: $i] : (c2_1(X48) | c1_1(X48) | (~c3_1(X48)) | (~ndr1_0))) & (hskp12 | ![X49: $i] : (c2_1(X49) | c1_1(X49) | (~c0_1(X49)) | (~ndr1_0)) | ![X50: $i] : (c1_1(X50) | c3_1(X50) | (~c0_1(X50)) | (~ndr1_0))) & (hskp16 | hskp28 | ![X51: $i] : (c2_1(X51) | c1_1(X51) | (~c3_1(X51)) | (~ndr1_0))) & (![X52: $i] : (c1_1(X52) | c3_1(X52) | (~c0_1(X52)) | (~ndr1_0)) | ![X53: $i] : (c1_1(X53) | (~c2_1(X53)) | (~c0_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c3_1(X54) | (~c2_1(X54)) | (~c0_1(X54)) | (~ndr1_0))) & (hskp7 | ![X55: $i] : (c1_1(X55) | c3_1(X55) | (~c0_1(X55)) | (~ndr1_0)) | ![X56: $i] : ((~c2_1(X56)) | (~c1_1(X56)) | (~c0_1(X56)) | (~ndr1_0))) & (![X57: $i] : (c1_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X59: $i] : (c2_1(X59) | (~c1_1(X59)) | (~c0_1(X59)) | (~ndr1_0)) | ![X58: $i] : (c1_1(X58) | (~c2_1(X58)) | (~c3_1(X58)) | (~ndr1_0))) & (hskp17 | hskp28 | ![X60: $i] : (c1_1(X60) | (~c0_1(X60)) | (~c3_1(X60)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X61: $i] : (c1_1(X61) | (~c0_1(X61)) | (~c3_1(X61)) | (~ndr1_0))) & (hskp9 | ![X62: $i] : (c1_1(X62) | (~c2_1(X62)) | (~c3_1(X62)) | (~ndr1_0)) | ![X63: $i] : (c3_1(X63) | (~c1_1(X63)) | (~c0_1(X63)) | (~ndr1_0))) & (hskp7 | hskp17 | ![X64: $i] : (c1_1(X64) | (~c2_1(X64)) | (~c3_1(X64)) | (~ndr1_0))) & (hskp17 | hskp19 | ![X65: $i] : (c1_1(X65) | (~c2_1(X65)) | (~c3_1(X65)) | (~ndr1_0))) & (![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)) | ![X67: $i] : (c3_1(X67) | (~c2_1(X67)) | (~c0_1(X67)) | (~ndr1_0))) & (hskp11 | ![X68: $i] : (c2_1(X68) | c3_1(X68) | (~c0_1(X68)) | (~ndr1_0)) | ![X69: $i] : ((~c2_1(X69)) | (~c1_1(X69)) | (~c3_1(X69)) | (~ndr1_0))) & (hskp8 | hskp19 | ![X70: $i] : (c2_1(X70) | c3_1(X70) | (~c0_1(X70)) | (~ndr1_0))) & (hskp5 | hskp20 | ![X71: $i] : (c2_1(X71) | c3_1(X71) | (~c0_1(X71)) | (~ndr1_0))) & (hskp5 | hskp29 | ![X72: $i] : (c2_1(X72) | c3_1(X72) | (~c1_1(X72)) | (~ndr1_0))) & (hskp11 | hskp21 | ![X73: $i] : (c2_1(X73) | (~c0_1(X73)) | (~c3_1(X73)) | (~ndr1_0))) & (hskp20 | hskp22 | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c3_1(X74)) | (~ndr1_0))) & (hskp5 | hskp23 | ![X75: $i] : (c2_1(X75) | (~c0_1(X75)) | (~c3_1(X75)) | (~ndr1_0))) & (hskp8 | ![X76: $i] : (c2_1(X76) | (~c1_1(X76)) | (~c3_1(X76)) | (~ndr1_0)) | ![X77: $i] : ((~c2_1(X77)) | (~c1_1(X77)) | (~c3_1(X77)) | (~ndr1_0))) & (hskp2 | hskp24 | ![X78: $i] : (c2_1(X78) | (~c1_1(X78)) | (~c3_1(X78)) | (~ndr1_0))) & (hskp3 | hskp15 | ![X79: $i] : (c2_1(X79) | (~c1_1(X79)) | (~c3_1(X79)) | (~ndr1_0))) & (hskp1 | hskp29 | ![X80: $i] : (c3_1(X80) | (~c2_1(X80)) | (~c0_1(X80)) | (~ndr1_0))) & (hskp12 | hskp20 | ![X81: $i] : (c3_1(X81) | (~c2_1(X81)) | (~c0_1(X81)) | (~ndr1_0))) & (hskp9 | hskp15 | ![X82: $i] : (c3_1(X82) | (~c2_1(X82)) | (~c0_1(X82)) | (~ndr1_0))) & (hskp10 | hskp29 | ![X83: $i] : (c3_1(X83) | (~c2_1(X83)) | (~c1_1(X83)) | (~ndr1_0))) & (hskp23 | hskp25 | ![X84: $i] : ((~c2_1(X84)) | (~c1_1(X84)) | (~c0_1(X84)) | (~ndr1_0))) & (hskp1 | hskp7 | hskp18) & (hskp2 | hskp18 | hskp20) & (hskp1 | hskp14 | hskp17) & (hskp2 | hskp19 | hskp22) & (hskp0 | hskp20 | hskp24) & (hskp14 | hskp17 | hskp24)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.19/0.52 tff(18,plain,
% 0.19/0.52 ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))),
% 0.19/0.52 inference(and_elim,[status(thm)],[17])).
% 0.19/0.52 tff(19,plain,
% 0.19/0.52 ((~hskp18) | (ndr1_0 & c0_1(a676) & c1_1(a676) & (~c2_1(a676)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.19/0.52 tff(20,plain,
% 0.19/0.52 ((~hskp18) | (~(c2_1(a676) | (~ndr1_0) | (~c0_1(a676)) | (~c1_1(a676))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[19, 10])).
% 0.19/0.52 tff(21,plain,
% 0.19/0.52 (~hskp18),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[20, 9])).
% 0.19/0.52 tff(22,plain,
% 0.19/0.52 ((c1_1(a642) | (~ndr1_0) | (~c0_1(a642)) | (~c3_1(a642))) | ndr1_0),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(23,plain,
% 0.19/0.52 (c1_1(a642) | (~ndr1_0) | (~c0_1(a642)) | (~c3_1(a642))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[22, 7])).
% 0.19/0.52 tff(24,plain,
% 0.19/0.52 (((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) <=> ((~hskp1) | (~(c1_1(a642) | (~ndr1_0) | (~c0_1(a642)) | (~c3_1(a642)))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(25,plain,
% 0.19/0.52 (((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))) <=> ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(26,plain,
% 0.19/0.52 ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))),
% 0.19/0.52 inference(and_elim,[status(thm)],[17])).
% 0.19/0.52 tff(27,plain,
% 0.19/0.52 ((~hskp1) | (ndr1_0 & c0_1(a642) & c3_1(a642) & (~c1_1(a642)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.52 tff(28,plain,
% 0.19/0.52 ((~hskp1) | (~(c1_1(a642) | (~ndr1_0) | (~c0_1(a642)) | (~c3_1(a642))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[27, 24])).
% 0.19/0.52 tff(29,plain,
% 0.19/0.52 (~hskp1),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[28, 23])).
% 0.19/0.52 tff(30,plain,
% 0.19/0.52 ((c0_1(a651) | c1_1(a651) | (~ndr1_0) | (~c3_1(a651))) | ndr1_0),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(31,plain,
% 0.19/0.52 (c0_1(a651) | c1_1(a651) | (~ndr1_0) | (~c3_1(a651))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[30, 7])).
% 0.19/0.52 tff(32,plain,
% 0.19/0.52 (((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) <=> ((~hskp7) | (~(c0_1(a651) | c1_1(a651) | (~ndr1_0) | (~c3_1(a651)))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(33,plain,
% 0.19/0.52 (((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))) <=> ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(34,plain,
% 0.19/0.52 ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))),
% 0.19/0.52 inference(and_elim,[status(thm)],[17])).
% 0.19/0.52 tff(35,plain,
% 0.19/0.52 ((~hskp7) | (ndr1_0 & c3_1(a651) & (~c0_1(a651)) & (~c1_1(a651)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.19/0.52 tff(36,plain,
% 0.19/0.52 ((~hskp7) | (~(c0_1(a651) | c1_1(a651) | (~ndr1_0) | (~c3_1(a651))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[35, 32])).
% 0.19/0.52 tff(37,plain,
% 0.19/0.52 (~hskp7),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[36, 31])).
% 0.19/0.52 tff(38,plain,
% 0.19/0.52 ((hskp1 | hskp7 | hskp18) <=> (hskp1 | hskp7 | hskp18)),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(39,plain,
% 0.19/0.52 (hskp1 | hskp7 | hskp18),
% 0.19/0.52 inference(and_elim,[status(thm)],[17])).
% 0.19/0.52 tff(40,plain,
% 0.19/0.52 (hskp1 | hskp7 | hskp18),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.52 tff(41,plain,
% 0.19/0.52 (hskp1 | hskp7 | hskp18),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[40, 38])).
% 0.19/0.52 tff(42,plain,
% 0.19/0.52 (hskp1 | hskp7 | hskp18),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[41, 38])).
% 0.19/0.52 tff(43,plain,
% 0.19/0.52 (hskp1 | hskp7 | hskp18),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.19/0.52 tff(44,plain,
% 0.19/0.52 ($false),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[43, 37, 29, 21])).
% 0.19/0.52 tff(45,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.19/0.52 tff(46,assumption,(~(c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648)))), introduced(assumption)).
% 0.19/0.52 tff(47,plain,
% 0.19/0.52 ((c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))) | c0_1(a648)),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(48,plain,
% 0.19/0.52 (c0_1(a648)),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.19/0.52 tff(49,plain,
% 0.19/0.52 ((c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))) | (~c3_1(a648))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(50,plain,
% 0.19/0.52 (~c3_1(a648)),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[49, 46])).
% 0.19/0.52 tff(51,plain,
% 0.19/0.52 ((c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))) | (~c2_1(a648))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(52,plain,
% 0.19/0.52 (~c2_1(a648)),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[51, 46])).
% 0.19/0.52 tff(53,assumption,(ndr1_0), introduced(assumption)).
% 0.19/0.52 tff(54,plain,
% 0.19/0.52 (((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | (c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648)))) <=> ((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(55,plain,
% 0.19/0.52 ((c2_1(a648) | c3_1(a648) | (~c0_1(a648)) | (~ndr1_0)) <=> (c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(56,plain,
% 0.19/0.52 (((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | (c2_1(a648) | c3_1(a648) | (~c0_1(a648)) | (~ndr1_0))) <=> ((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | (c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[55])).
% 0.19/0.52 tff(57,plain,
% 0.19/0.52 (((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | (c2_1(a648) | c3_1(a648) | (~c0_1(a648)) | (~ndr1_0))) <=> ((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648)))),
% 0.19/0.52 inference(transitivity,[status(thm)],[56, 54])).
% 0.19/0.52 tff(58,plain,
% 0.19/0.52 ((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | (c2_1(a648) | c3_1(a648) | (~c0_1(a648)) | (~ndr1_0))),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(59,plain,
% 0.19/0.52 ((~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0))) | c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.19/0.52 tff(60,plain,
% 0.19/0.52 ($false),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[59, 53, 52, 50, 48, 6])).
% 0.19/0.52 tff(61,plain,((c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))) | (~ndr1_0) | (~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.52 tff(62,plain,
% 0.19/0.52 ((c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))) | (~![X66: $i] : (c2_1(X66) | c3_1(X66) | (~c0_1(X66)) | (~ndr1_0)))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[61, 45])).
% 0.19/0.53 tff(63,plain,
% 0.19/0.53 (c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[62, 6])).
% 0.19/0.53 tff(64,plain,
% 0.19/0.53 (((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) <=> ((~hskp6) | (~(c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648)))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(65,plain,
% 0.19/0.53 (((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))) <=> ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(66,plain,
% 0.19/0.53 ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))),
% 0.19/0.53 inference(and_elim,[status(thm)],[17])).
% 0.19/0.53 tff(67,plain,
% 0.19/0.53 ((~hskp6) | (ndr1_0 & c0_1(a648) & (~c2_1(a648)) & (~c3_1(a648)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.53 tff(68,plain,
% 0.19/0.53 ((~hskp6) | (~(c2_1(a648) | c3_1(a648) | (~ndr1_0) | (~c0_1(a648))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[67, 64])).
% 0.19/0.53 tff(69,plain,
% 0.19/0.53 (~hskp6),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[68, 63])).
% 0.19/0.53 tff(70,plain,
% 0.19/0.53 ((hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) <=> (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0)))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(71,plain,
% 0.19/0.53 ((hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))) <=> (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0)))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(72,plain,
% 0.19/0.53 (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))),
% 0.19/0.53 inference(and_elim,[status(thm)],[17])).
% 0.19/0.53 tff(73,plain,
% 0.19/0.53 (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.53 tff(74,plain,
% 0.19/0.53 (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[73, 71])).
% 0.19/0.53 tff(75,plain,
% 0.19/0.53 (hskp6 | ![X30: $i] : (c0_1(X30) | c3_1(X30) | (~c1_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c2_1(X31) | (~c1_1(X31)) | (~c3_1(X31)) | (~ndr1_0))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[74, 71])).
% 0.19/0.53 Proof display could not be completed: monotonicity rule is not handled
% 0.19/0.53 % E exiting
%------------------------------------------------------------------------------