%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN484+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 05:39:18 AM UTC 2025
% Result : Theorem 0.19s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN484+1 : TPTP v9.0.0. Released v2.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:36:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 % SZS output start Proof
% 0.19/0.46 tff(hskp3_type, type, (
% 0.19/0.46 hskp3: $o)).
% 0.19/0.46 tff(ndr1_0_type, type, (
% 0.19/0.46 ndr1_0: $o)).
% 0.19/0.46 tff(c1_1_type, type, (
% 0.19/0.46 c1_1: $i > $o)).
% 0.19/0.46 tff(c2_1_type, type, (
% 0.19/0.46 c2_1: $i > $o)).
% 0.19/0.46 tff(c0_1_type, type, (
% 0.19/0.46 c0_1: $i > $o)).
% 0.19/0.46 tff(a1989_type, type, (
% 0.19/0.46 a1989: $i)).
% 0.19/0.46 tff(c3_1_type, type, (
% 0.19/0.46 c3_1: $i > $o)).
% 0.19/0.46 tff(hskp11_type, type, (
% 0.19/0.46 hskp11: $o)).
% 0.19/0.46 tff(a1998_type, type, (
% 0.19/0.46 a1998: $i)).
% 0.19/0.46 tff(hskp4_type, type, (
% 0.19/0.46 hskp4: $o)).
% 0.19/0.46 tff(a1975_type, type, (
% 0.19/0.46 a1975: $i)).
% 0.19/0.46 tff(a1991_type, type, (
% 0.19/0.46 a1991: $i)).
% 0.19/0.46 tff(hskp13_type, type, (
% 0.19/0.46 hskp13: $o)).
% 0.19/0.46 tff(a1985_type, type, (
% 0.19/0.46 a1985: $i)).
% 0.19/0.46 tff(hskp23_type, type, (
% 0.19/0.46 hskp23: $o)).
% 0.19/0.46 tff(a2014_type, type, (
% 0.19/0.46 a2014: $i)).
% 0.19/0.46 tff(a1990_type, type, (
% 0.19/0.46 a1990: $i)).
% 0.19/0.46 tff(hskp12_type, type, (
% 0.19/0.46 hskp12: $o)).
% 0.19/0.46 tff(hskp17_type, type, (
% 0.19/0.46 hskp17: $o)).
% 0.19/0.46 tff(a2005_type, type, (
% 0.19/0.46 a2005: $i)).
% 0.19/0.46 tff(hskp18_type, type, (
% 0.19/0.46 hskp18: $o)).
% 0.19/0.46 tff(a2000_type, type, (
% 0.19/0.46 a2000: $i)).
% 0.19/0.46 tff(a1974_type, type, (
% 0.19/0.46 a1974: $i)).
% 0.19/0.46 tff(a1993_type, type, (
% 0.19/0.46 a1993: $i)).
% 0.19/0.46 tff(hskp30_type, type, (
% 0.19/0.46 hskp30: $o)).
% 0.19/0.46 tff(hskp6_type, type, (
% 0.19/0.46 hskp6: $o)).
% 0.19/0.46 tff(a1979_type, type, (
% 0.19/0.46 a1979: $i)).
% 0.19/0.46 tff(hskp21_type, type, (
% 0.19/0.46 hskp21: $o)).
% 0.19/0.46 tff(a2009_type, type, (
% 0.19/0.46 a2009: $i)).
% 0.19/0.46 tff(hskp16_type, type, (
% 0.19/0.46 hskp16: $o)).
% 0.19/0.46 tff(hskp19_type, type, (
% 0.19/0.46 hskp19: $o)).
% 0.19/0.46 tff(hskp15_type, type, (
% 0.19/0.46 hskp15: $o)).
% 0.19/0.46 tff(hskp27_type, type, (
% 0.19/0.46 hskp27: $o)).
% 0.19/0.46 tff(hskp8_type, type, (
% 0.19/0.46 hskp8: $o)).
% 0.19/0.46 tff(hskp5_type, type, (
% 0.19/0.46 hskp5: $o)).
% 0.19/0.46 tff(hskp28_type, type, (
% 0.19/0.46 hskp28: $o)).
% 0.19/0.46 tff(hskp1_type, type, (
% 0.19/0.46 hskp1: $o)).
% 0.19/0.46 tff(hskp26_type, type, (
% 0.19/0.46 hskp26: $o)).
% 0.19/0.46 tff(hskp25_type, type, (
% 0.19/0.46 hskp25: $o)).
% 0.19/0.46 tff(hskp14_type, type, (
% 0.19/0.46 hskp14: $o)).
% 0.19/0.46 tff(hskp10_type, type, (
% 0.19/0.46 hskp10: $o)).
% 0.19/0.46 tff(hskp24_type, type, (
% 0.19/0.46 hskp24: $o)).
% 0.19/0.46 tff(hskp0_type, type, (
% 0.19/0.46 hskp0: $o)).
% 0.19/0.46 tff(hskp20_type, type, (
% 0.19/0.46 hskp20: $o)).
% 0.19/0.46 tff(hskp22_type, type, (
% 0.19/0.46 hskp22: $o)).
% 0.19/0.46 tff(hskp2_type, type, (
% 0.19/0.46 hskp2: $o)).
% 0.19/0.46 tff(hskp9_type, type, (
% 0.19/0.46 hskp9: $o)).
% 0.19/0.46 tff(hskp29_type, type, (
% 0.19/0.46 hskp29: $o)).
% 0.19/0.46 tff(hskp7_type, type, (
% 0.19/0.46 hskp7: $o)).
% 0.19/0.46 tff(a1978_type, type, (
% 0.19/0.46 a1978: $i)).
% 0.19/0.46 tff(a1972_type, type, (
% 0.19/0.46 a1972: $i)).
% 0.19/0.46 tff(a1970_type, type, (
% 0.19/0.46 a1970: $i)).
% 0.19/0.46 tff(a2049_type, type, (
% 0.19/0.46 a2049: $i)).
% 0.19/0.46 tff(a2041_type, type, (
% 0.19/0.46 a2041: $i)).
% 0.19/0.46 tff(a2031_type, type, (
% 0.19/0.46 a2031: $i)).
% 0.19/0.46 tff(a2012_type, type, (
% 0.19/0.46 a2012: $i)).
% 0.19/0.46 tff(a2003_type, type, (
% 0.19/0.46 a2003: $i)).
% 0.19/0.46 tff(a2001_type, type, (
% 0.19/0.46 a2001: $i)).
% 0.19/0.46 tff(a1996_type, type, (
% 0.19/0.46 a1996: $i)).
% 0.19/0.46 tff(a1992_type, type, (
% 0.19/0.46 a1992: $i)).
% 0.19/0.46 tff(a1987_type, type, (
% 0.19/0.46 a1987: $i)).
% 0.19/0.46 tff(a1983_type, type, (
% 0.19/0.46 a1983: $i)).
% 0.19/0.46 tff(a1981_type, type, (
% 0.19/0.46 a1981: $i)).
% 0.19/0.46 tff(a1977_type, type, (
% 0.19/0.46 a1977: $i)).
% 0.19/0.46 tff(a1973_type, type, (
% 0.19/0.46 a1973: $i)).
% 0.19/0.46 tff(a1971_type, type, (
% 0.19/0.46 a1971: $i)).
% 0.19/0.46 tff(a1969_type, type, (
% 0.19/0.46 a1969: $i)).
% 0.19/0.46 tff(1,assumption,(~![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.46 tff(2,assumption,(~hskp11), introduced(assumption)).
% 0.19/0.46 tff(3,assumption,(![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.46 tff(4,assumption,(~hskp17), introduced(assumption)).
% 0.19/0.46 tff(5,assumption,(~![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.46 tff(6,assumption,(~![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.46 tff(7,assumption,(![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))), introduced(assumption)).
% 0.19/0.46 tff(8,assumption,(~ndr1_0), introduced(assumption)).
% 0.19/0.46 tff(9,plain,
% 0.19/0.46 ((c1_1(a2009) | c3_1(a2009) | (~ndr1_0) | (~c2_1(a2009))) | ndr1_0),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(10,plain,
% 0.19/0.46 (c1_1(a2009) | c3_1(a2009) | (~ndr1_0) | (~c2_1(a2009))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[9, 8])).
% 0.19/0.46 tff(11,plain,
% 0.19/0.46 (((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) <=> ((~hskp21) | (~(c1_1(a2009) | c3_1(a2009) | (~ndr1_0) | (~c2_1(a2009)))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(12,plain,
% 0.19/0.46 (((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) <=> ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(13,plain,
% 0.19/0.46 ((~(~(((~hskp0) | (ndr1_0 & (~c1_1(a1969)) & (~c2_1(a1969)) & (~c3_1(a1969)))) & ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) & ((~hskp2) | (ndr1_0 & c1_1(a1973) & c3_1(a1973) & (~c2_1(a1973)))) & ((~hskp3) | (ndr1_0 & c1_1(a1974) & c2_1(a1974) & (~c0_1(a1974)))) & ((~hskp4) | (ndr1_0 & c0_1(a1975) & (~c1_1(a1975)) & (~c2_1(a1975)))) & ((~hskp5) | (ndr1_0 & c1_1(a1977) & (~c2_1(a1977)) & (~c3_1(a1977)))) & ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) & ((~hskp7) | (ndr1_0 & c0_1(a1981) & c1_1(a1981) & (~c3_1(a1981)))) & ((~hskp8) | (ndr1_0 & c3_1(a1983) & (~c0_1(a1983)) & (~c1_1(a1983)))) & ((~hskp9) | (ndr1_0 & c1_1(a1985) & (~c0_1(a1985)) & (~c3_1(a1985)))) & ((~hskp10) | (ndr1_0 & c2_1(a1987) & c3_1(a1987) & (~c1_1(a1987)))) & ((~hskp11) | (ndr1_0 & c2_1(a1989) & (~c0_1(a1989)) & (~c3_1(a1989)))) & ((~hskp12) | (ndr1_0 & c3_1(a1990) & (~c1_1(a1990)) & (~c2_1(a1990)))) & ((~hskp13) | (ndr1_0 & c0_1(a1991) & c2_1(a1991) & (~c3_1(a1991)))) & ((~hskp14) | (ndr1_0 & c1_1(a1992) & (~c0_1(a1992)) & (~c2_1(a1992)))) & ((~hskp15) | (ndr1_0 & c2_1(a1993) & (~c0_1(a1993)) & (~c1_1(a1993)))) & ((~hskp16) | (ndr1_0 & c0_1(a1996) & c3_1(a1996) & (~c2_1(a1996)))) & ((~hskp17) | (ndr1_0 & c1_1(a1998) & c3_1(a1998) & (~c0_1(a1998)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a2000)) & (~c1_1(a2000)) & (~c3_1(a2000)))) & ((~hskp19) | (ndr1_0 & c2_1(a2001) & c3_1(a2001) & (~c0_1(a2001)))) & ((~hskp20) | (ndr1_0 & c1_1(a2003) & c2_1(a2003) & (~c3_1(a2003)))) & ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) & ((~hskp22) | (ndr1_0 & c0_1(a2012) & (~c2_1(a2012)) & (~c3_1(a2012)))) & ((~hskp23) | (ndr1_0 & c0_1(a2014) & c1_1(a2014) & (~c2_1(a2014)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a2031)) & (~c1_1(a2031)) & (~c2_1(a2031)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a2041)) & (~c2_1(a2041)) & (~c3_1(a2041)))) & ((~hskp26) | (ndr1_0 & c0_1(a2049) & c3_1(a2049) & (~c1_1(a2049)))) & ((~hskp27) | (ndr1_0 & c1_1(a1970) & c2_1(a1970) & c3_1(a1970))) & ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) & ((~hskp29) | (ndr1_0 & c0_1(a1978) & c1_1(a1978) & c2_1(a1978))) & ((~hskp30) | (ndr1_0 & c0_1(a2005) & c2_1(a2005) & c3_1(a2005))) & (hskp0 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c1_1(V) | (~c0_1(V)) | (~ndr1_0))) & (hskp27 | ![W: $i] : (c1_1(W) | c0_1(W) | c3_1(W) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | c0_1(X) | c3_1(X) | (~ndr1_0))) & (![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c0_1(Z) | (~c3_1(Z)) | (~ndr1_0)) | ![X1: $i] : ((~c0_1(X1)) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c0_1(X3) | c3_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c3_1(X4) | (~c2_1(X4)) | (~c1_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c1_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c1_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c1_1(X7) | (~c0_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | c3_1(X8) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c1_1(X9)) | (~ndr1_0))) & (hskp28 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : ((~c3_1(X11)) | (~c2_1(X11)) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0)) | ![X13: $i] : (c2_1(X13) | c1_1(X13) | c3_1(X13) | (~ndr1_0))) & (hskp3 | ![X14: $i] : (c1_1(X14) | c0_1(X14) | (~c2_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | (~c0_1(X15)) | (~c1_1(X15)) | (~ndr1_0))) & (hskp4 | hskp27 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c2_1(X16)) | (~ndr1_0))) & (hskp5 | ![X17: $i] : (c1_1(X17) | c0_1(X17) | (~c3_1(X17)) | (~ndr1_0)) | ![X18: $i] : ((~c0_1(X18)) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp6 | hskp29 | ![X19: $i] : (c1_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0))) & (hskp1 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | c3_1(X20) | (~ndr1_0)) | ![X21: $i] : (c2_1(X21) | (~c0_1(X21)) | (~c3_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c2_1(X22) | c0_1(X22) | c3_1(X22) | (~ndr1_0)) | ![X23: $i] : ((~c3_1(X23)) | (~c2_1(X23)) | (~c1_1(X23)) | (~ndr1_0))) & (hskp7 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | (~c2_1(X25)) | (~c1_1(X25)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X26: $i] : (c2_1(X26) | c0_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c3_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c2_1(X29) | (~c3_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp29 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c3_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c0_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp9 | ![X32: $i] : (c2_1(X32) | c0_1(X32) | (~c3_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c2_1(X34) | c0_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c2_1(X35) | c1_1(X35) | (~c0_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c2_1(X36) | (~c0_1(X36)) | (~c1_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c2_1(X37) | c0_1(X37) | (~c3_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c2_1(X38) | c1_1(X38) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c2_1(X39) | c3_1(X39) | (~c1_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c0_1(X42)) | (~c1_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))) & (hskp8 | ![X43: $i] : (c2_1(X43) | c0_1(X43) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | (~c0_1(X44)) | (~c2_1(X44)) | (~ndr1_0))) & (hskp10 | ![X45: $i] : (c2_1(X45) | c0_1(X45) | (~c3_1(X45)) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | (~c0_1(X46)) | (~c1_1(X46)) | (~ndr1_0))) & (hskp9 | hskp11 | ![X47: $i] : (c2_1(X47) | c0_1(X47) | (~c3_1(X47)) | (~ndr1_0))) & (hskp12 | ![X48: $i] : (c0_1(X48) | c3_1(X48) | (~c1_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c0_1(X49) | (~c3_1(X49)) | (~c1_1(X49)) | (~ndr1_0))) & (![X50: $i] : (c0_1(X50) | c3_1(X50) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | (~c0_1(X51)) | (~c1_1(X51)) | (~ndr1_0)) | ![X52: $i] : ((~c0_1(X52)) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0))) & (hskp13 | ![X53: $i] : (c0_1(X53) | c3_1(X53) | (~c2_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c0_1(X54) | (~c3_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp14 | ![X55: $i] : (c0_1(X55) | c3_1(X55) | (~c2_1(X55)) | (~ndr1_0)) | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | (~c3_1(X56)) | (~ndr1_0))) & (hskp15 | ![X57: $i] : (c0_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X58: $i] : (c2_1(X58) | c3_1(X58) | (~c1_1(X58)) | (~ndr1_0))) & (hskp3 | ![X59: $i] : (c0_1(X59) | (~c2_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c0_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp10 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c0_1(X63) | (~c3_1(X63)) | (~c1_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | (~c3_1(X64)) | (~c1_1(X64)) | (~ndr1_0))) & (hskp13 | hskp17 | ![X65: $i] : (c0_1(X65) | (~c3_1(X65)) | (~c1_1(X65)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X66: $i] : (c0_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp19 | ![X67: $i] : (c0_1(X67) | (~c3_1(X67)) | (~c2_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c1_1(X68) | (~c0_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c0_1(X70)) | (~c1_1(X70)) | (~ndr1_0))) & (hskp13 | hskp20 | ![X71: $i] : (c0_1(X71) | (~c3_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (![X72: $i] : (c2_1(X72) | c1_1(X72) | c3_1(X72) | (~ndr1_0)) | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c1_1(X74)) | (~ndr1_0)) | ![X73: $i] : (c1_1(X73) | c3_1(X73) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | ![X75: $i] : (c2_1(X75) | c1_1(X75) | c3_1(X75) | (~ndr1_0)) | ![X76: $i] : (c2_1(X76) | (~c0_1(X76)) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : (c1_1(X79) | (~c3_1(X79)) | (~c2_1(X79)) | (~ndr1_0)) | ![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c1_1(X78) | (~c0_1(X78)) | (~c2_1(X78)) | (~ndr1_0))) & (![X80: $i] : (c2_1(X80) | c1_1(X80) | (~c0_1(X80)) | (~ndr1_0)) | ![X81: $i] : (c1_1(X81) | (~c3_1(X81)) | (~c2_1(X81)) | (~ndr1_0)) | ![X82: $i] : (c2_1(X82) | (~c3_1(X82)) | (~c1_1(X82)) | (~ndr1_0))) & (hskp5 | hskp30 | ![X83: $i] : (c2_1(X83) | c1_1(X83) | (~c0_1(X83)) | (~ndr1_0))) & (hskp4 | hskp10 | ![X84: $i] : (c2_1(X84) | c1_1(X84) | (~c0_1(X84)) | (~ndr1_0))) & (hskp21 | ![X85: $i] : (c2_1(X85) | c1_1(X85) | (~c3_1(X85)) | (~ndr1_0)) | ![X86: $i] : (c2_1(X86) | c3_1(X86) | (~c1_1(X86)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X87: $i] : (c2_1(X87) | c1_1(X87) | (~c3_1(X87)) | (~ndr1_0))) & (hskp2 | hskp22 | ![X88: $i] : (c2_1(X88) | c1_1(X88) | (~c3_1(X88)) | (~ndr1_0))) & (hskp6 | hskp23 | ![X89: $i] : (c1_1(X89) | c3_1(X89) | (~c2_1(X89)) | (~ndr1_0))) & (hskp3 | hskp17 | ![X90: $i] : (c1_1(X90) | c3_1(X90) | (~c2_1(X90)) | (~ndr1_0))) & (hskp10 | hskp11 | ![X91: $i] : (c1_1(X91) | (~c0_1(X91)) | (~c2_1(X91)) | (~ndr1_0))) & (hskp15 | hskp30 | ![X92: $i] : (c1_1(X92) | (~c0_1(X92)) | (~c3_1(X92)) | (~ndr1_0))) & (hskp6 | hskp18 | ![X93: $i] : (c1_1(X93) | (~c0_1(X93)) | (~c3_1(X93)) | (~ndr1_0))) & (hskp27 | ![X94: $i] : (c1_1(X94) | (~c3_1(X94)) | (~c2_1(X94)) | (~ndr1_0)) | ![X95: $i] : ((~c3_1(X95)) | (~c2_1(X95)) | (~c1_1(X95)) | (~ndr1_0))) & (hskp10 | ![X96: $i] : (c1_1(X96) | (~c3_1(X96)) | (~c2_1(X96)) | (~ndr1_0))) & (hskp15 | hskp16 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | c3_1(X97) | (~ndr1_0))) & (![X98: $i] : (c2_1(X98) | c3_1(X98) | (~c1_1(X98)) | (~ndr1_0)) | ![X99: $i] : (c2_1(X99) | (~c3_1(X99)) | (~c1_1(X99)) | (~ndr1_0)) | ![X100: $i] : ((~c0_1(X100)) | c3_1(X100) | (~c1_1(X100)) | (~ndr1_0))) & (hskp1 | hskp22 | ![X101: $i] : (c2_1(X101) | (~c0_1(X101)) | (~c1_1(X101)) | (~ndr1_0))) & (hskp16 | hskp24 | ![X102: $i] : (c2_1(X102) | (~c0_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp20 | ![X103: $i] : (c2_1(X103) | (~c3_1(X103)) | (~c1_1(X103)) | (~ndr1_0)) | ![X104: $i] : ((~c0_1(X104)) | (~c3_1(X104)) | (~c1_1(X104)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X105: $i] : (c2_1(X105) | (~c3_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp10 | ![X106: $i] : ((~c0_1(X106)) | c3_1(X106) | (~c2_1(X106)) | (~ndr1_0)) | ![X107: $i] : ((~c0_1(X107)) | (~c3_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp4 | hskp17 | ![X108: $i] : ((~c0_1(X108)) | c3_1(X108) | (~c2_1(X108)) | (~ndr1_0))) & (hskp0 | hskp12 | ![X109: $i] : ((~c0_1(X109)) | c3_1(X109) | (~c2_1(X109)) | (~ndr1_0))) & (hskp24 | hskp25 | ![X110: $i] : ((~c0_1(X110)) | c3_1(X110) | (~c2_1(X110)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X111: $i] : (c3_1(X111) | (~c2_1(X111)) | (~c1_1(X111)) | (~ndr1_0))) & (hskp1 | hskp4 | ![X112: $i] : ((~c0_1(X112)) | (~c2_1(X112)) | (~c1_1(X112)) | (~ndr1_0))) & (hskp3 | hskp8 | ![X113: $i] : ((~c0_1(X113)) | (~c2_1(X113)) | (~c1_1(X113)) | (~ndr1_0))) & (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X115: $i] : ((~c0_1(X115)) | (~c3_1(X115)) | (~c1_1(X115)) | (~ndr1_0))) & (hskp4 | hskp11 | ![X116: $i] : ((~c3_1(X116)) | (~c2_1(X116)) | (~c1_1(X116)) | (~ndr1_0))) & (hskp1 | hskp21 | hskp28) & (hskp5 | hskp8 | hskp23) & (hskp6 | hskp27 | hskp30) & (hskp15 | hskp16 | hskp19) & (hskp16 | hskp18 | hskp21)))) <=> (((~hskp0) | (ndr1_0 & (~c1_1(a1969)) & (~c2_1(a1969)) & (~c3_1(a1969)))) & ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) & ((~hskp2) | (ndr1_0 & c1_1(a1973) & c3_1(a1973) & (~c2_1(a1973)))) & ((~hskp3) | (ndr1_0 & c1_1(a1974) & c2_1(a1974) & (~c0_1(a1974)))) & ((~hskp4) | (ndr1_0 & c0_1(a1975) & (~c1_1(a1975)) & (~c2_1(a1975)))) & ((~hskp5) | (ndr1_0 & c1_1(a1977) & (~c2_1(a1977)) & (~c3_1(a1977)))) & ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) & ((~hskp7) | (ndr1_0 & c0_1(a1981) & c1_1(a1981) & (~c3_1(a1981)))) & ((~hskp8) | (ndr1_0 & c3_1(a1983) & (~c0_1(a1983)) & (~c1_1(a1983)))) & ((~hskp9) | (ndr1_0 & c1_1(a1985) & (~c0_1(a1985)) & (~c3_1(a1985)))) & ((~hskp10) | (ndr1_0 & c2_1(a1987) & c3_1(a1987) & (~c1_1(a1987)))) & ((~hskp11) | (ndr1_0 & c2_1(a1989) & (~c0_1(a1989)) & (~c3_1(a1989)))) & ((~hskp12) | (ndr1_0 & c3_1(a1990) & (~c1_1(a1990)) & (~c2_1(a1990)))) & ((~hskp13) | (ndr1_0 & c0_1(a1991) & c2_1(a1991) & (~c3_1(a1991)))) & ((~hskp14) | (ndr1_0 & c1_1(a1992) & (~c0_1(a1992)) & (~c2_1(a1992)))) & ((~hskp15) | (ndr1_0 & c2_1(a1993) & (~c0_1(a1993)) & (~c1_1(a1993)))) & ((~hskp16) | (ndr1_0 & c0_1(a1996) & c3_1(a1996) & (~c2_1(a1996)))) & ((~hskp17) | (ndr1_0 & c1_1(a1998) & c3_1(a1998) & (~c0_1(a1998)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a2000)) & (~c1_1(a2000)) & (~c3_1(a2000)))) & ((~hskp19) | (ndr1_0 & c2_1(a2001) & c3_1(a2001) & (~c0_1(a2001)))) & ((~hskp20) | (ndr1_0 & c1_1(a2003) & c2_1(a2003) & (~c3_1(a2003)))) & ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) & ((~hskp22) | (ndr1_0 & c0_1(a2012) & (~c2_1(a2012)) & (~c3_1(a2012)))) & ((~hskp23) | (ndr1_0 & c0_1(a2014) & c1_1(a2014) & (~c2_1(a2014)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a2031)) & (~c1_1(a2031)) & (~c2_1(a2031)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a2041)) & (~c2_1(a2041)) & (~c3_1(a2041)))) & ((~hskp26) | (ndr1_0 & c0_1(a2049) & c3_1(a2049) & (~c1_1(a2049)))) & ((~hskp27) | (ndr1_0 & c1_1(a1970) & c2_1(a1970) & c3_1(a1970))) & ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) & ((~hskp29) | (ndr1_0 & c0_1(a1978) & c1_1(a1978) & c2_1(a1978))) & ((~hskp30) | (ndr1_0 & c0_1(a2005) & c2_1(a2005) & c3_1(a2005))) & (hskp0 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c1_1(V) | (~c0_1(V)) | (~ndr1_0))) & (hskp27 | ![W: $i] : (c1_1(W) | c0_1(W) | c3_1(W) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | c0_1(X) | c3_1(X) | (~ndr1_0))) & (![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c0_1(Z) | (~c3_1(Z)) | (~ndr1_0)) | ![X1: $i] : ((~c0_1(X1)) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c0_1(X3) | c3_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c3_1(X4) | (~c2_1(X4)) | (~c1_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c1_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c1_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c1_1(X7) | (~c0_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | c3_1(X8) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c1_1(X9)) | (~ndr1_0))) & (hskp28 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : ((~c3_1(X11)) | (~c2_1(X11)) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0)) | ![X13: $i] : (c2_1(X13) | c1_1(X13) | c3_1(X13) | (~ndr1_0))) & (hskp3 | ![X14: $i] : (c1_1(X14) | c0_1(X14) | (~c2_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | (~c0_1(X15)) | (~c1_1(X15)) | (~ndr1_0))) & (hskp4 | hskp27 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c2_1(X16)) | (~ndr1_0))) & (hskp5 | ![X17: $i] : (c1_1(X17) | c0_1(X17) | (~c3_1(X17)) | (~ndr1_0)) | ![X18: $i] : ((~c0_1(X18)) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp6 | hskp29 | ![X19: $i] : (c1_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0))) & (hskp1 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | c3_1(X20) | (~ndr1_0)) | ![X21: $i] : (c2_1(X21) | (~c0_1(X21)) | (~c3_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c2_1(X22) | c0_1(X22) | c3_1(X22) | (~ndr1_0)) | ![X23: $i] : ((~c3_1(X23)) | (~c2_1(X23)) | (~c1_1(X23)) | (~ndr1_0))) & (hskp7 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | (~c2_1(X25)) | (~c1_1(X25)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X26: $i] : (c2_1(X26) | c0_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c3_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c2_1(X29) | (~c3_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp29 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c3_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c0_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp9 | ![X32: $i] : (c2_1(X32) | c0_1(X32) | (~c3_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c2_1(X34) | c0_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c2_1(X35) | c1_1(X35) | (~c0_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c2_1(X36) | (~c0_1(X36)) | (~c1_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c2_1(X37) | c0_1(X37) | (~c3_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c2_1(X38) | c1_1(X38) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c2_1(X39) | c3_1(X39) | (~c1_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c0_1(X42)) | (~c1_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))) & (hskp8 | ![X43: $i] : (c2_1(X43) | c0_1(X43) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | (~c0_1(X44)) | (~c2_1(X44)) | (~ndr1_0))) & (hskp10 | ![X45: $i] : (c2_1(X45) | c0_1(X45) | (~c3_1(X45)) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | (~c0_1(X46)) | (~c1_1(X46)) | (~ndr1_0))) & (hskp9 | hskp11 | ![X47: $i] : (c2_1(X47) | c0_1(X47) | (~c3_1(X47)) | (~ndr1_0))) & (hskp12 | ![X48: $i] : (c0_1(X48) | c3_1(X48) | (~c1_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c0_1(X49) | (~c3_1(X49)) | (~c1_1(X49)) | (~ndr1_0))) & (![X50: $i] : (c0_1(X50) | c3_1(X50) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | (~c0_1(X51)) | (~c1_1(X51)) | (~ndr1_0)) | ![X52: $i] : ((~c0_1(X52)) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0))) & (hskp13 | ![X53: $i] : (c0_1(X53) | c3_1(X53) | (~c2_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c0_1(X54) | (~c3_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp14 | ![X55: $i] : (c0_1(X55) | c3_1(X55) | (~c2_1(X55)) | (~ndr1_0)) | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | (~c3_1(X56)) | (~ndr1_0))) & (hskp15 | ![X57: $i] : (c0_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X58: $i] : (c2_1(X58) | c3_1(X58) | (~c1_1(X58)) | (~ndr1_0))) & (hskp3 | ![X59: $i] : (c0_1(X59) | (~c2_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c0_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp10 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c0_1(X63) | (~c3_1(X63)) | (~c1_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | (~c3_1(X64)) | (~c1_1(X64)) | (~ndr1_0))) & (hskp13 | hskp17 | ![X65: $i] : (c0_1(X65) | (~c3_1(X65)) | (~c1_1(X65)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X66: $i] : (c0_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp19 | ![X67: $i] : (c0_1(X67) | (~c3_1(X67)) | (~c2_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c1_1(X68) | (~c0_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c0_1(X70)) | (~c1_1(X70)) | (~ndr1_0))) & (hskp13 | hskp20 | ![X71: $i] : (c0_1(X71) | (~c3_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (![X72: $i] : (c2_1(X72) | c1_1(X72) | c3_1(X72) | (~ndr1_0)) | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c1_1(X74)) | (~ndr1_0)) | ![X73: $i] : (c1_1(X73) | c3_1(X73) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | ![X75: $i] : (c2_1(X75) | c1_1(X75) | c3_1(X75) | (~ndr1_0)) | ![X76: $i] : (c2_1(X76) | (~c0_1(X76)) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : (c1_1(X79) | (~c3_1(X79)) | (~c2_1(X79)) | (~ndr1_0)) | ![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c1_1(X78) | (~c0_1(X78)) | (~c2_1(X78)) | (~ndr1_0))) & (![X80: $i] : (c2_1(X80) | c1_1(X80) | (~c0_1(X80)) | (~ndr1_0)) | ![X81: $i] : (c1_1(X81) | (~c3_1(X81)) | (~c2_1(X81)) | (~ndr1_0)) | ![X82: $i] : (c2_1(X82) | (~c3_1(X82)) | (~c1_1(X82)) | (~ndr1_0))) & (hskp5 | hskp30 | ![X83: $i] : (c2_1(X83) | c1_1(X83) | (~c0_1(X83)) | (~ndr1_0))) & (hskp4 | hskp10 | ![X84: $i] : (c2_1(X84) | c1_1(X84) | (~c0_1(X84)) | (~ndr1_0))) & (hskp21 | ![X85: $i] : (c2_1(X85) | c1_1(X85) | (~c3_1(X85)) | (~ndr1_0)) | ![X86: $i] : (c2_1(X86) | c3_1(X86) | (~c1_1(X86)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X87: $i] : (c2_1(X87) | c1_1(X87) | (~c3_1(X87)) | (~ndr1_0))) & (hskp2 | hskp22 | ![X88: $i] : (c2_1(X88) | c1_1(X88) | (~c3_1(X88)) | (~ndr1_0))) & (hskp6 | hskp23 | ![X89: $i] : (c1_1(X89) | c3_1(X89) | (~c2_1(X89)) | (~ndr1_0))) & (hskp3 | hskp17 | ![X90: $i] : (c1_1(X90) | c3_1(X90) | (~c2_1(X90)) | (~ndr1_0))) & (hskp10 | hskp11 | ![X91: $i] : (c1_1(X91) | (~c0_1(X91)) | (~c2_1(X91)) | (~ndr1_0))) & (hskp15 | hskp30 | ![X92: $i] : (c1_1(X92) | (~c0_1(X92)) | (~c3_1(X92)) | (~ndr1_0))) & (hskp6 | hskp18 | ![X93: $i] : (c1_1(X93) | (~c0_1(X93)) | (~c3_1(X93)) | (~ndr1_0))) & (hskp27 | ![X94: $i] : (c1_1(X94) | (~c3_1(X94)) | (~c2_1(X94)) | (~ndr1_0)) | ![X95: $i] : ((~c3_1(X95)) | (~c2_1(X95)) | (~c1_1(X95)) | (~ndr1_0))) & (hskp10 | ![X96: $i] : (c1_1(X96) | (~c3_1(X96)) | (~c2_1(X96)) | (~ndr1_0))) & (hskp15 | hskp16 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | c3_1(X97) | (~ndr1_0))) & (![X98: $i] : (c2_1(X98) | c3_1(X98) | (~c1_1(X98)) | (~ndr1_0)) | ![X99: $i] : (c2_1(X99) | (~c3_1(X99)) | (~c1_1(X99)) | (~ndr1_0)) | ![X100: $i] : ((~c0_1(X100)) | c3_1(X100) | (~c1_1(X100)) | (~ndr1_0))) & (hskp1 | hskp22 | ![X101: $i] : (c2_1(X101) | (~c0_1(X101)) | (~c1_1(X101)) | (~ndr1_0))) & (hskp16 | hskp24 | ![X102: $i] : (c2_1(X102) | (~c0_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp20 | ![X103: $i] : (c2_1(X103) | (~c3_1(X103)) | (~c1_1(X103)) | (~ndr1_0)) | ![X104: $i] : ((~c0_1(X104)) | (~c3_1(X104)) | (~c1_1(X104)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X105: $i] : (c2_1(X105) | (~c3_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp10 | ![X106: $i] : ((~c0_1(X106)) | c3_1(X106) | (~c2_1(X106)) | (~ndr1_0)) | ![X107: $i] : ((~c0_1(X107)) | (~c3_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp4 | hskp17 | ![X108: $i] : ((~c0_1(X108)) | c3_1(X108) | (~c2_1(X108)) | (~ndr1_0))) & (hskp0 | hskp12 | ![X109: $i] : ((~c0_1(X109)) | c3_1(X109) | (~c2_1(X109)) | (~ndr1_0))) & (hskp24 | hskp25 | ![X110: $i] : ((~c0_1(X110)) | c3_1(X110) | (~c2_1(X110)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X111: $i] : (c3_1(X111) | (~c2_1(X111)) | (~c1_1(X111)) | (~ndr1_0))) & (hskp1 | hskp4 | ![X112: $i] : ((~c0_1(X112)) | (~c2_1(X112)) | (~c1_1(X112)) | (~ndr1_0))) & (hskp3 | hskp8 | ![X113: $i] : ((~c0_1(X113)) | (~c2_1(X113)) | (~c1_1(X113)) | (~ndr1_0))) & (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X115: $i] : ((~c0_1(X115)) | (~c3_1(X115)) | (~c1_1(X115)) | (~ndr1_0))) & (hskp4 | hskp11 | ![X116: $i] : ((~c3_1(X116)) | (~c2_1(X116)) | (~c1_1(X116)) | (~ndr1_0))) & (hskp1 | hskp21 | hskp28) & (hskp5 | hskp8 | hskp23) & (hskp6 | hskp27 | hskp30) & (hskp15 | hskp16 | hskp19) & (hskp16 | hskp18 | hskp21))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(14,plain,
% 0.19/0.48 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a1969))) & (~c2_1(a1969))) & (~c3_1(a1969)))) & ((~hskp1) | (((ndr1_0 & c0_1(a1971)) & c2_1(a1971)) & (~c1_1(a1971))))) & ((~hskp2) | (((ndr1_0 & c1_1(a1973)) & c3_1(a1973)) & (~c2_1(a1973))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1974)) & c2_1(a1974)) & (~c0_1(a1974))))) & ((~hskp4) | (((ndr1_0 & c0_1(a1975)) & (~c1_1(a1975))) & (~c2_1(a1975))))) & ((~hskp5) | (((ndr1_0 & c1_1(a1977)) & (~c2_1(a1977))) & (~c3_1(a1977))))) & ((~hskp6) | (((ndr1_0 & c3_1(a1979)) & (~c0_1(a1979))) & (~c2_1(a1979))))) & ((~hskp7) | (((ndr1_0 & c0_1(a1981)) & c1_1(a1981)) & (~c3_1(a1981))))) & ((~hskp8) | (((ndr1_0 & c3_1(a1983)) & (~c0_1(a1983))) & (~c1_1(a1983))))) & ((~hskp9) | (((ndr1_0 & c1_1(a1985)) & (~c0_1(a1985))) & (~c3_1(a1985))))) & ((~hskp10) | (((ndr1_0 & c2_1(a1987)) & c3_1(a1987)) & (~c1_1(a1987))))) & ((~hskp11) | (((ndr1_0 & c2_1(a1989)) & (~c0_1(a1989))) & (~c3_1(a1989))))) & ((~hskp12) | (((ndr1_0 & c3_1(a1990)) & (~c1_1(a1990))) & (~c2_1(a1990))))) & ((~hskp13) | (((ndr1_0 & c0_1(a1991)) & c2_1(a1991)) & (~c3_1(a1991))))) & ((~hskp14) | (((ndr1_0 & c1_1(a1992)) & (~c0_1(a1992))) & (~c2_1(a1992))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1993)) & (~c0_1(a1993))) & (~c1_1(a1993))))) & ((~hskp16) | (((ndr1_0 & c0_1(a1996)) & c3_1(a1996)) & (~c2_1(a1996))))) & ((~hskp17) | (((ndr1_0 & c1_1(a1998)) & c3_1(a1998)) & (~c0_1(a1998))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a2000))) & (~c1_1(a2000))) & (~c3_1(a2000))))) & ((~hskp19) | (((ndr1_0 & c2_1(a2001)) & c3_1(a2001)) & (~c0_1(a2001))))) & ((~hskp20) | (((ndr1_0 & c1_1(a2003)) & c2_1(a2003)) & (~c3_1(a2003))))) & ((~hskp21) | (((ndr1_0 & c2_1(a2009)) & (~c1_1(a2009))) & (~c3_1(a2009))))) & ((~hskp22) | (((ndr1_0 & c0_1(a2012)) & (~c2_1(a2012))) & (~c3_1(a2012))))) & ((~hskp23) | (((ndr1_0 & c0_1(a2014)) & c1_1(a2014)) & (~c2_1(a2014))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a2031))) & (~c1_1(a2031))) & (~c2_1(a2031))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a2041))) & (~c2_1(a2041))) & (~c3_1(a2041))))) & ((~hskp26) | (((ndr1_0 & c0_1(a2049)) & c3_1(a2049)) & (~c1_1(a2049))))) & ((~hskp27) | (((ndr1_0 & c1_1(a1970)) & c2_1(a1970)) & c3_1(a1970)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1972)) & c1_1(a1972)) & c3_1(a1972)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1978)) & c1_1(a1978)) & c2_1(a1978)))) & ((~hskp30) | (((ndr1_0 & c0_1(a2005)) & c2_1(a2005)) & c3_1(a2005)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c1_1(V) | c2_1(V)) | (~c0_1(V))))) | hskp0)) & ((![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | c3_1(W))) | ![X: $i] : (ndr1_0 => ((c0_1(X) | c2_1(X)) | c3_1(X)))) | hskp27)) & ((![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))))) | ![X1: $i] : (ndr1_0 => (((~c0_1(X1)) | (~c1_1(X1))) | (~c2_1(X1)))))) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | ![X3: $i] : (ndr1_0 => ((c0_1(X3) | c3_1(X3)) | (~c2_1(X3))))) | ![X4: $i] : (ndr1_0 => ((c3_1(X4) | (~c1_1(X4))) | (~c2_1(X4)))))) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c1_1(X6) | c2_1(X6)) | (~c3_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c1_1(X7) | (~c0_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c3_1(X8))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c1_1(X9))))) | hskp1)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | c3_1(X10))) | ![X11: $i] : (ndr1_0 => (((~c1_1(X11)) | (~c2_1(X11))) | (~c3_1(X11))))) | hskp28)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | ![X13: $i] : (ndr1_0 => ((c1_1(X13) | c2_1(X13)) | c3_1(X13)))) | hskp2)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c1_1(X14)) | (~c2_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | (~c0_1(X15))) | (~c1_1(X15))))) | hskp3)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c2_1(X16)))) | hskp4) | hskp27)) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c1_1(X17)) | (~c3_1(X17)))) | ![X18: $i] : (ndr1_0 => ((c3_1(X18) | (~c0_1(X18))) | (~c2_1(X18))))) | hskp5)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c1_1(X19)) | (~c3_1(X19)))) | hskp29) | hskp6)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | c3_1(X20))) | ![X21: $i] : (ndr1_0 => ((c2_1(X21) | (~c0_1(X21))) | (~c3_1(X21))))) | hskp1)) & (![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | c3_1(X22))) | ![X23: $i] : (ndr1_0 => (((~c1_1(X23)) | (~c2_1(X23))) | (~c3_1(X23)))))) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c1_1(X24)))) | ![X25: $i] : (ndr1_0 => ((c0_1(X25) | (~c1_1(X25))) | (~c2_1(X25))))) | hskp7)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c2_1(X26)) | (~c1_1(X26)))) | hskp28) | hskp8)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c3_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28))))) | ![X29: $i] : (ndr1_0 => ((c2_1(X29) | (~c1_1(X29))) | (~c3_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c3_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp29)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c2_1(X32)) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c2_1(X33))) | (~c3_1(X33))))) | hskp9)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | c2_1(X34)) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | (~c0_1(X35))))) | ![X36: $i] : (ndr1_0 => ((c2_1(X36) | (~c0_1(X36))) | (~c1_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | c2_1(X37)) | (~c3_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => ((c2_1(X39) | c3_1(X39)) | (~c1_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | c2_1(X40)) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c2_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) | (~c0_1(X44))) | (~c2_1(X44))))) | hskp8)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | c2_1(X45)) | (~c3_1(X45)))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | (~c0_1(X46))) | (~c1_1(X46))))) | hskp10)) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c2_1(X47)) | (~c3_1(X47)))) | hskp9) | hskp11)) & ((![X48: $i] : (ndr1_0 => ((c0_1(X48) | c3_1(X48)) | (~c1_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c0_1(X49) | (~c1_1(X49))) | (~c3_1(X49))))) | hskp12)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | c3_1(X50)) | (~c1_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | ![X52: $i] : (ndr1_0 => (((~c0_1(X52)) | (~c1_1(X52))) | (~c2_1(X52)))))) & ((![X53: $i] : (ndr1_0 => ((c0_1(X53) | c3_1(X53)) | (~c2_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c3_1(X54))))) | hskp13)) & ((![X55: $i] : (ndr1_0 => ((c0_1(X55) | c3_1(X55)) | (~c2_1(X55)))) | ![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56))))) | hskp14)) & ((![X57: $i] : (ndr1_0 => ((c0_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c2_1(X58) | c3_1(X58)) | (~c1_1(X58))))) | hskp15)) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c2_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c0_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp3)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c1_1(X61))) | (~c2_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp10)) & ((![X63: $i] : (ndr1_0 => ((c0_1(X63) | (~c1_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => (((~c0_1(X64)) | (~c1_1(X64))) | (~c3_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c0_1(X65) | (~c1_1(X65))) | (~c3_1(X65)))) | hskp13) | hskp17)) & ((![X66: $i] : (ndr1_0 => ((c0_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))) | hskp4) | hskp18)) & ((![X67: $i] : (ndr1_0 => ((c0_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c0_1(X68))) | (~c3_1(X68))))) | hskp19)) & (![X69: $i] : (ndr1_0 => ((c0_1(X69) | (~c2_1(X69))) | (~c3_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c1_1(X70)))))) & ((![X71: $i] : (ndr1_0 => ((c0_1(X71) | (~c2_1(X71))) | (~c3_1(X71)))) | hskp13) | hskp20)) & ((![X72: $i] : (ndr1_0 => ((c1_1(X72) | c2_1(X72)) | c3_1(X72))) | ![X73: $i] : (ndr1_0 => ((c1_1(X73) | c3_1(X73)) | (~c2_1(X73))))) | ![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c1_1(X74)))))) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c2_1(X75)) | c3_1(X75))) | ![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c1_1(X76))))) | hskp12)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c2_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c1_1(X78) | (~c0_1(X78))) | (~c2_1(X78))))) | ![X79: $i] : (ndr1_0 => ((c1_1(X79) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((![X80: $i] : (ndr1_0 => ((c1_1(X80) | c2_1(X80)) | (~c0_1(X80)))) | ![X81: $i] : (ndr1_0 => ((c1_1(X81) | (~c2_1(X81))) | (~c3_1(X81))))) | ![X82: $i] : (ndr1_0 => ((c2_1(X82) | (~c1_1(X82))) | (~c3_1(X82)))))) & ((![X83: $i] : (ndr1_0 => ((c1_1(X83) | c2_1(X83)) | (~c0_1(X83)))) | hskp30) | hskp5)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | c2_1(X84)) | (~c0_1(X84)))) | hskp4) | hskp10)) & ((![X85: $i] : (ndr1_0 => ((c1_1(X85) | c2_1(X85)) | (~c3_1(X85)))) | ![X86: $i] : (ndr1_0 => ((c2_1(X86) | c3_1(X86)) | (~c1_1(X86))))) | hskp21)) & ((![X87: $i] : (ndr1_0 => ((c1_1(X87) | c2_1(X87)) | (~c3_1(X87)))) | hskp1) | hskp10)) & ((![X88: $i] : (ndr1_0 => ((c1_1(X88) | c2_1(X88)) | (~c3_1(X88)))) | hskp22) | hskp2)) & ((![X89: $i] : (ndr1_0 => ((c1_1(X89) | c3_1(X89)) | (~c2_1(X89)))) | hskp23) | hskp6)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | c3_1(X90)) | (~c2_1(X90)))) | hskp3) | hskp17)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c0_1(X91))) | (~c2_1(X91)))) | hskp10) | hskp11)) & ((![X92: $i] : (ndr1_0 => ((c1_1(X92) | (~c0_1(X92))) | (~c3_1(X92)))) | hskp30) | hskp15)) & ((![X93: $i] : (ndr1_0 => ((c1_1(X93) | (~c0_1(X93))) | (~c3_1(X93)))) | hskp6) | hskp18)) & ((![X94: $i] : (ndr1_0 => ((c1_1(X94) | (~c2_1(X94))) | (~c3_1(X94)))) | ![X95: $i] : (ndr1_0 => (((~c1_1(X95)) | (~c2_1(X95))) | (~c3_1(X95))))) | hskp27)) & (![X96: $i] : (ndr1_0 => ((c1_1(X96) | (~c2_1(X96))) | (~c3_1(X96)))) | hskp10)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | c3_1(X97)) | (~c0_1(X97)))) | hskp16) | hskp15)) & ((![X98: $i] : (ndr1_0 => ((c2_1(X98) | c3_1(X98)) | (~c1_1(X98)))) | ![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c1_1(X99))) | (~c3_1(X99))))) | ![X100: $i] : (ndr1_0 => ((c3_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))))) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c1_1(X101)))) | hskp1) | hskp22)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c0_1(X102))) | (~c1_1(X102)))) | hskp16) | hskp24)) & ((![X103: $i] : (ndr1_0 => ((c2_1(X103) | (~c1_1(X103))) | (~c3_1(X103)))) | ![X104: $i] : (ndr1_0 => (((~c0_1(X104)) | (~c1_1(X104))) | (~c3_1(X104))))) | hskp20)) & ((![X105: $i] : (ndr1_0 => ((c2_1(X105) | (~c1_1(X105))) | (~c3_1(X105)))) | hskp11) | hskp12)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c0_1(X106))) | (~c2_1(X106)))) | ![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c3_1(X107))))) | hskp10)) & ((![X108: $i] : (ndr1_0 => ((c3_1(X108) | (~c0_1(X108))) | (~c2_1(X108)))) | hskp4) | hskp17)) & ((![X109: $i] : (ndr1_0 => ((c3_1(X109) | (~c0_1(X109))) | (~c2_1(X109)))) | hskp12) | hskp0)) & ((![X110: $i] : (ndr1_0 => ((c3_1(X110) | (~c0_1(X110))) | (~c2_1(X110)))) | hskp24) | hskp25)) & ((![X111: $i] : (ndr1_0 => ((c3_1(X111) | (~c1_1(X111))) | (~c2_1(X111)))) | hskp14) | hskp10)) & ((![X112: $i] : (ndr1_0 => (((~c0_1(X112)) | (~c1_1(X112))) | (~c2_1(X112)))) | hskp1) | hskp4)) & ((![X113: $i] : (ndr1_0 => (((~c0_1(X113)) | (~c1_1(X113))) | (~c2_1(X113)))) | hskp3) | hskp8)) & (![X114: $i] : (ndr1_0 => (((~c0_1(X114)) | (~c1_1(X114))) | (~c2_1(X114)))) | hskp17)) & ((![X115: $i] : (ndr1_0 => (((~c0_1(X115)) | (~c1_1(X115))) | (~c3_1(X115)))) | hskp26) | hskp25)) & ((![X116: $i] : (ndr1_0 => (((~c1_1(X116)) | (~c2_1(X116))) | (~c3_1(X116)))) | hskp4) | hskp11)) & ((hskp28 | hskp1) | hskp21)) & ((hskp23 | hskp5) | hskp8)) & ((hskp30 | hskp27) | hskp6)) & ((hskp16 | hskp19) | hskp15)) & ((hskp16 | hskp21) | hskp18))) <=> (~(((~hskp0) | (ndr1_0 & (~c1_1(a1969)) & (~c2_1(a1969)) & (~c3_1(a1969)))) & ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) & ((~hskp2) | (ndr1_0 & c1_1(a1973) & c3_1(a1973) & (~c2_1(a1973)))) & ((~hskp3) | (ndr1_0 & c1_1(a1974) & c2_1(a1974) & (~c0_1(a1974)))) & ((~hskp4) | (ndr1_0 & c0_1(a1975) & (~c1_1(a1975)) & (~c2_1(a1975)))) & ((~hskp5) | (ndr1_0 & c1_1(a1977) & (~c2_1(a1977)) & (~c3_1(a1977)))) & ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) & ((~hskp7) | (ndr1_0 & c0_1(a1981) & c1_1(a1981) & (~c3_1(a1981)))) & ((~hskp8) | (ndr1_0 & c3_1(a1983) & (~c0_1(a1983)) & (~c1_1(a1983)))) & ((~hskp9) | (ndr1_0 & c1_1(a1985) & (~c0_1(a1985)) & (~c3_1(a1985)))) & ((~hskp10) | (ndr1_0 & c2_1(a1987) & c3_1(a1987) & (~c1_1(a1987)))) & ((~hskp11) | (ndr1_0 & c2_1(a1989) & (~c0_1(a1989)) & (~c3_1(a1989)))) & ((~hskp12) | (ndr1_0 & c3_1(a1990) & (~c1_1(a1990)) & (~c2_1(a1990)))) & ((~hskp13) | (ndr1_0 & c0_1(a1991) & c2_1(a1991) & (~c3_1(a1991)))) & ((~hskp14) | (ndr1_0 & c1_1(a1992) & (~c0_1(a1992)) & (~c2_1(a1992)))) & ((~hskp15) | (ndr1_0 & c2_1(a1993) & (~c0_1(a1993)) & (~c1_1(a1993)))) & ((~hskp16) | (ndr1_0 & c0_1(a1996) & c3_1(a1996) & (~c2_1(a1996)))) & ((~hskp17) | (ndr1_0 & c1_1(a1998) & c3_1(a1998) & (~c0_1(a1998)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a2000)) & (~c1_1(a2000)) & (~c3_1(a2000)))) & ((~hskp19) | (ndr1_0 & c2_1(a2001) & c3_1(a2001) & (~c0_1(a2001)))) & ((~hskp20) | (ndr1_0 & c1_1(a2003) & c2_1(a2003) & (~c3_1(a2003)))) & ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) & ((~hskp22) | (ndr1_0 & c0_1(a2012) & (~c2_1(a2012)) & (~c3_1(a2012)))) & ((~hskp23) | (ndr1_0 & c0_1(a2014) & c1_1(a2014) & (~c2_1(a2014)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a2031)) & (~c1_1(a2031)) & (~c2_1(a2031)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a2041)) & (~c2_1(a2041)) & (~c3_1(a2041)))) & ((~hskp26) | (ndr1_0 & c0_1(a2049) & c3_1(a2049) & (~c1_1(a2049)))) & ((~hskp27) | (ndr1_0 & c1_1(a1970) & c2_1(a1970) & c3_1(a1970))) & ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) & ((~hskp29) | (ndr1_0 & c0_1(a1978) & c1_1(a1978) & c2_1(a1978))) & ((~hskp30) | (ndr1_0 & c0_1(a2005) & c2_1(a2005) & c3_1(a2005))) & (hskp0 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c1_1(V) | (~c0_1(V)) | (~ndr1_0))) & (hskp27 | ![W: $i] : (c1_1(W) | c0_1(W) | c3_1(W) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | c0_1(X) | c3_1(X) | (~ndr1_0))) & (![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c0_1(Z) | (~c3_1(Z)) | (~ndr1_0)) | ![X1: $i] : ((~c0_1(X1)) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c0_1(X3) | c3_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c3_1(X4) | (~c2_1(X4)) | (~c1_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c1_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c1_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c1_1(X7) | (~c0_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | c3_1(X8) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c1_1(X9)) | (~ndr1_0))) & (hskp28 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : ((~c3_1(X11)) | (~c2_1(X11)) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0)) | ![X13: $i] : (c2_1(X13) | c1_1(X13) | c3_1(X13) | (~ndr1_0))) & (hskp3 | ![X14: $i] : (c1_1(X14) | c0_1(X14) | (~c2_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | (~c0_1(X15)) | (~c1_1(X15)) | (~ndr1_0))) & (hskp4 | hskp27 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c2_1(X16)) | (~ndr1_0))) & (hskp5 | ![X17: $i] : (c1_1(X17) | c0_1(X17) | (~c3_1(X17)) | (~ndr1_0)) | ![X18: $i] : ((~c0_1(X18)) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp6 | hskp29 | ![X19: $i] : (c1_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0))) & (hskp1 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | c3_1(X20) | (~ndr1_0)) | ![X21: $i] : (c2_1(X21) | (~c0_1(X21)) | (~c3_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c2_1(X22) | c0_1(X22) | c3_1(X22) | (~ndr1_0)) | ![X23: $i] : ((~c3_1(X23)) | (~c2_1(X23)) | (~c1_1(X23)) | (~ndr1_0))) & (hskp7 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | (~c2_1(X25)) | (~c1_1(X25)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X26: $i] : (c2_1(X26) | c0_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c3_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c2_1(X29) | (~c3_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp29 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c3_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c0_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp9 | ![X32: $i] : (c2_1(X32) | c0_1(X32) | (~c3_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c2_1(X34) | c0_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c2_1(X35) | c1_1(X35) | (~c0_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c2_1(X36) | (~c0_1(X36)) | (~c1_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c2_1(X37) | c0_1(X37) | (~c3_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c2_1(X38) | c1_1(X38) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c2_1(X39) | c3_1(X39) | (~c1_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c0_1(X42)) | (~c1_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))) & (hskp8 | ![X43: $i] : (c2_1(X43) | c0_1(X43) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | (~c0_1(X44)) | (~c2_1(X44)) | (~ndr1_0))) & (hskp10 | ![X45: $i] : (c2_1(X45) | c0_1(X45) | (~c3_1(X45)) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | (~c0_1(X46)) | (~c1_1(X46)) | (~ndr1_0))) & (hskp9 | hskp11 | ![X47: $i] : (c2_1(X47) | c0_1(X47) | (~c3_1(X47)) | (~ndr1_0))) & (hskp12 | ![X48: $i] : (c0_1(X48) | c3_1(X48) | (~c1_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c0_1(X49) | (~c3_1(X49)) | (~c1_1(X49)) | (~ndr1_0))) & (![X50: $i] : (c0_1(X50) | c3_1(X50) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | (~c0_1(X51)) | (~c1_1(X51)) | (~ndr1_0)) | ![X52: $i] : ((~c0_1(X52)) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0))) & (hskp13 | ![X53: $i] : (c0_1(X53) | c3_1(X53) | (~c2_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c0_1(X54) | (~c3_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp14 | ![X55: $i] : (c0_1(X55) | c3_1(X55) | (~c2_1(X55)) | (~ndr1_0)) | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | (~c3_1(X56)) | (~ndr1_0))) & (hskp15 | ![X57: $i] : (c0_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X58: $i] : (c2_1(X58) | c3_1(X58) | (~c1_1(X58)) | (~ndr1_0))) & (hskp3 | ![X59: $i] : (c0_1(X59) | (~c2_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c0_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp10 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c0_1(X63) | (~c3_1(X63)) | (~c1_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | (~c3_1(X64)) | (~c1_1(X64)) | (~ndr1_0))) & (hskp13 | hskp17 | ![X65: $i] : (c0_1(X65) | (~c3_1(X65)) | (~c1_1(X65)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X66: $i] : (c0_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp19 | ![X67: $i] : (c0_1(X67) | (~c3_1(X67)) | (~c2_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c1_1(X68) | (~c0_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c0_1(X70)) | (~c1_1(X70)) | (~ndr1_0))) & (hskp13 | hskp20 | ![X71: $i] : (c0_1(X71) | (~c3_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (![X72: $i] : (c2_1(X72) | c1_1(X72) | c3_1(X72) | (~ndr1_0)) | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c1_1(X74)) | (~ndr1_0)) | ![X73: $i] : (c1_1(X73) | c3_1(X73) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | ![X75: $i] : (c2_1(X75) | c1_1(X75) | c3_1(X75) | (~ndr1_0)) | ![X76: $i] : (c2_1(X76) | (~c0_1(X76)) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : (c1_1(X79) | (~c3_1(X79)) | (~c2_1(X79)) | (~ndr1_0)) | ![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c1_1(X78) | (~c0_1(X78)) | (~c2_1(X78)) | (~ndr1_0))) & (![X80: $i] : (c2_1(X80) | c1_1(X80) | (~c0_1(X80)) | (~ndr1_0)) | ![X81: $i] : (c1_1(X81) | (~c3_1(X81)) | (~c2_1(X81)) | (~ndr1_0)) | ![X82: $i] : (c2_1(X82) | (~c3_1(X82)) | (~c1_1(X82)) | (~ndr1_0))) & (hskp5 | hskp30 | ![X83: $i] : (c2_1(X83) | c1_1(X83) | (~c0_1(X83)) | (~ndr1_0))) & (hskp4 | hskp10 | ![X84: $i] : (c2_1(X84) | c1_1(X84) | (~c0_1(X84)) | (~ndr1_0))) & (hskp21 | ![X85: $i] : (c2_1(X85) | c1_1(X85) | (~c3_1(X85)) | (~ndr1_0)) | ![X86: $i] : (c2_1(X86) | c3_1(X86) | (~c1_1(X86)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X87: $i] : (c2_1(X87) | c1_1(X87) | (~c3_1(X87)) | (~ndr1_0))) & (hskp2 | hskp22 | ![X88: $i] : (c2_1(X88) | c1_1(X88) | (~c3_1(X88)) | (~ndr1_0))) & (hskp6 | hskp23 | ![X89: $i] : (c1_1(X89) | c3_1(X89) | (~c2_1(X89)) | (~ndr1_0))) & (hskp3 | hskp17 | ![X90: $i] : (c1_1(X90) | c3_1(X90) | (~c2_1(X90)) | (~ndr1_0))) & (hskp10 | hskp11 | ![X91: $i] : (c1_1(X91) | (~c0_1(X91)) | (~c2_1(X91)) | (~ndr1_0))) & (hskp15 | hskp30 | ![X92: $i] : (c1_1(X92) | (~c0_1(X92)) | (~c3_1(X92)) | (~ndr1_0))) & (hskp6 | hskp18 | ![X93: $i] : (c1_1(X93) | (~c0_1(X93)) | (~c3_1(X93)) | (~ndr1_0))) & (hskp27 | ![X94: $i] : (c1_1(X94) | (~c3_1(X94)) | (~c2_1(X94)) | (~ndr1_0)) | ![X95: $i] : ((~c3_1(X95)) | (~c2_1(X95)) | (~c1_1(X95)) | (~ndr1_0))) & (hskp10 | ![X96: $i] : (c1_1(X96) | (~c3_1(X96)) | (~c2_1(X96)) | (~ndr1_0))) & (hskp15 | hskp16 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | c3_1(X97) | (~ndr1_0))) & (![X98: $i] : (c2_1(X98) | c3_1(X98) | (~c1_1(X98)) | (~ndr1_0)) | ![X99: $i] : (c2_1(X99) | (~c3_1(X99)) | (~c1_1(X99)) | (~ndr1_0)) | ![X100: $i] : ((~c0_1(X100)) | c3_1(X100) | (~c1_1(X100)) | (~ndr1_0))) & (hskp1 | hskp22 | ![X101: $i] : (c2_1(X101) | (~c0_1(X101)) | (~c1_1(X101)) | (~ndr1_0))) & (hskp16 | hskp24 | ![X102: $i] : (c2_1(X102) | (~c0_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp20 | ![X103: $i] : (c2_1(X103) | (~c3_1(X103)) | (~c1_1(X103)) | (~ndr1_0)) | ![X104: $i] : ((~c0_1(X104)) | (~c3_1(X104)) | (~c1_1(X104)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X105: $i] : (c2_1(X105) | (~c3_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp10 | ![X106: $i] : ((~c0_1(X106)) | c3_1(X106) | (~c2_1(X106)) | (~ndr1_0)) | ![X107: $i] : ((~c0_1(X107)) | (~c3_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp4 | hskp17 | ![X108: $i] : ((~c0_1(X108)) | c3_1(X108) | (~c2_1(X108)) | (~ndr1_0))) & (hskp0 | hskp12 | ![X109: $i] : ((~c0_1(X109)) | c3_1(X109) | (~c2_1(X109)) | (~ndr1_0))) & (hskp24 | hskp25 | ![X110: $i] : ((~c0_1(X110)) | c3_1(X110) | (~c2_1(X110)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X111: $i] : (c3_1(X111) | (~c2_1(X111)) | (~c1_1(X111)) | (~ndr1_0))) & (hskp1 | hskp4 | ![X112: $i] : ((~c0_1(X112)) | (~c2_1(X112)) | (~c1_1(X112)) | (~ndr1_0))) & (hskp3 | hskp8 | ![X113: $i] : ((~c0_1(X113)) | (~c2_1(X113)) | (~c1_1(X113)) | (~ndr1_0))) & (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X115: $i] : ((~c0_1(X115)) | (~c3_1(X115)) | (~c1_1(X115)) | (~ndr1_0))) & (hskp4 | hskp11 | ![X116: $i] : ((~c3_1(X116)) | (~c2_1(X116)) | (~c1_1(X116)) | (~ndr1_0))) & (hskp1 | hskp21 | hskp28) & (hskp5 | hskp8 | hskp23) & (hskp6 | hskp27 | hskp30) & (hskp15 | hskp16 | hskp19) & (hskp16 | hskp18 | hskp21)))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(15,plain,
% 0.19/0.49 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a1969))) & (~c2_1(a1969))) & (~c3_1(a1969)))) & ((~hskp1) | (((ndr1_0 & c0_1(a1971)) & c2_1(a1971)) & (~c1_1(a1971))))) & ((~hskp2) | (((ndr1_0 & c1_1(a1973)) & c3_1(a1973)) & (~c2_1(a1973))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1974)) & c2_1(a1974)) & (~c0_1(a1974))))) & ((~hskp4) | (((ndr1_0 & c0_1(a1975)) & (~c1_1(a1975))) & (~c2_1(a1975))))) & ((~hskp5) | (((ndr1_0 & c1_1(a1977)) & (~c2_1(a1977))) & (~c3_1(a1977))))) & ((~hskp6) | (((ndr1_0 & c3_1(a1979)) & (~c0_1(a1979))) & (~c2_1(a1979))))) & ((~hskp7) | (((ndr1_0 & c0_1(a1981)) & c1_1(a1981)) & (~c3_1(a1981))))) & ((~hskp8) | (((ndr1_0 & c3_1(a1983)) & (~c0_1(a1983))) & (~c1_1(a1983))))) & ((~hskp9) | (((ndr1_0 & c1_1(a1985)) & (~c0_1(a1985))) & (~c3_1(a1985))))) & ((~hskp10) | (((ndr1_0 & c2_1(a1987)) & c3_1(a1987)) & (~c1_1(a1987))))) & ((~hskp11) | (((ndr1_0 & c2_1(a1989)) & (~c0_1(a1989))) & (~c3_1(a1989))))) & ((~hskp12) | (((ndr1_0 & c3_1(a1990)) & (~c1_1(a1990))) & (~c2_1(a1990))))) & ((~hskp13) | (((ndr1_0 & c0_1(a1991)) & c2_1(a1991)) & (~c3_1(a1991))))) & ((~hskp14) | (((ndr1_0 & c1_1(a1992)) & (~c0_1(a1992))) & (~c2_1(a1992))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1993)) & (~c0_1(a1993))) & (~c1_1(a1993))))) & ((~hskp16) | (((ndr1_0 & c0_1(a1996)) & c3_1(a1996)) & (~c2_1(a1996))))) & ((~hskp17) | (((ndr1_0 & c1_1(a1998)) & c3_1(a1998)) & (~c0_1(a1998))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a2000))) & (~c1_1(a2000))) & (~c3_1(a2000))))) & ((~hskp19) | (((ndr1_0 & c2_1(a2001)) & c3_1(a2001)) & (~c0_1(a2001))))) & ((~hskp20) | (((ndr1_0 & c1_1(a2003)) & c2_1(a2003)) & (~c3_1(a2003))))) & ((~hskp21) | (((ndr1_0 & c2_1(a2009)) & (~c1_1(a2009))) & (~c3_1(a2009))))) & ((~hskp22) | (((ndr1_0 & c0_1(a2012)) & (~c2_1(a2012))) & (~c3_1(a2012))))) & ((~hskp23) | (((ndr1_0 & c0_1(a2014)) & c1_1(a2014)) & (~c2_1(a2014))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a2031))) & (~c1_1(a2031))) & (~c2_1(a2031))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a2041))) & (~c2_1(a2041))) & (~c3_1(a2041))))) & ((~hskp26) | (((ndr1_0 & c0_1(a2049)) & c3_1(a2049)) & (~c1_1(a2049))))) & ((~hskp27) | (((ndr1_0 & c1_1(a1970)) & c2_1(a1970)) & c3_1(a1970)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1972)) & c1_1(a1972)) & c3_1(a1972)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1978)) & c1_1(a1978)) & c2_1(a1978)))) & ((~hskp30) | (((ndr1_0 & c0_1(a2005)) & c2_1(a2005)) & c3_1(a2005)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c1_1(V) | c2_1(V)) | (~c0_1(V))))) | hskp0)) & ((![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | c3_1(W))) | ![X: $i] : (ndr1_0 => ((c0_1(X) | c2_1(X)) | c3_1(X)))) | hskp27)) & ((![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))))) | ![X1: $i] : (ndr1_0 => (((~c0_1(X1)) | (~c1_1(X1))) | (~c2_1(X1)))))) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | ![X3: $i] : (ndr1_0 => ((c0_1(X3) | c3_1(X3)) | (~c2_1(X3))))) | ![X4: $i] : (ndr1_0 => ((c3_1(X4) | (~c1_1(X4))) | (~c2_1(X4)))))) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c1_1(X6) | c2_1(X6)) | (~c3_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c1_1(X7) | (~c0_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c3_1(X8))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c1_1(X9))))) | hskp1)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | c3_1(X10))) | ![X11: $i] : (ndr1_0 => (((~c1_1(X11)) | (~c2_1(X11))) | (~c3_1(X11))))) | hskp28)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | ![X13: $i] : (ndr1_0 => ((c1_1(X13) | c2_1(X13)) | c3_1(X13)))) | hskp2)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c1_1(X14)) | (~c2_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | (~c0_1(X15))) | (~c1_1(X15))))) | hskp3)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c2_1(X16)))) | hskp4) | hskp27)) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c1_1(X17)) | (~c3_1(X17)))) | ![X18: $i] : (ndr1_0 => ((c3_1(X18) | (~c0_1(X18))) | (~c2_1(X18))))) | hskp5)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c1_1(X19)) | (~c3_1(X19)))) | hskp29) | hskp6)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | c3_1(X20))) | ![X21: $i] : (ndr1_0 => ((c2_1(X21) | (~c0_1(X21))) | (~c3_1(X21))))) | hskp1)) & (![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | c3_1(X22))) | ![X23: $i] : (ndr1_0 => (((~c1_1(X23)) | (~c2_1(X23))) | (~c3_1(X23)))))) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c1_1(X24)))) | ![X25: $i] : (ndr1_0 => ((c0_1(X25) | (~c1_1(X25))) | (~c2_1(X25))))) | hskp7)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c2_1(X26)) | (~c1_1(X26)))) | hskp28) | hskp8)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c3_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28))))) | ![X29: $i] : (ndr1_0 => ((c2_1(X29) | (~c1_1(X29))) | (~c3_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c3_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp29)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c2_1(X32)) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c2_1(X33))) | (~c3_1(X33))))) | hskp9)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | c2_1(X34)) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | (~c0_1(X35))))) | ![X36: $i] : (ndr1_0 => ((c2_1(X36) | (~c0_1(X36))) | (~c1_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | c2_1(X37)) | (~c3_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => ((c2_1(X39) | c3_1(X39)) | (~c1_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | c2_1(X40)) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c2_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) | (~c0_1(X44))) | (~c2_1(X44))))) | hskp8)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | c2_1(X45)) | (~c3_1(X45)))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | (~c0_1(X46))) | (~c1_1(X46))))) | hskp10)) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c2_1(X47)) | (~c3_1(X47)))) | hskp9) | hskp11)) & ((![X48: $i] : (ndr1_0 => ((c0_1(X48) | c3_1(X48)) | (~c1_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c0_1(X49) | (~c1_1(X49))) | (~c3_1(X49))))) | hskp12)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | c3_1(X50)) | (~c1_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | ![X52: $i] : (ndr1_0 => (((~c0_1(X52)) | (~c1_1(X52))) | (~c2_1(X52)))))) & ((![X53: $i] : (ndr1_0 => ((c0_1(X53) | c3_1(X53)) | (~c2_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c3_1(X54))))) | hskp13)) & ((![X55: $i] : (ndr1_0 => ((c0_1(X55) | c3_1(X55)) | (~c2_1(X55)))) | ![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56))))) | hskp14)) & ((![X57: $i] : (ndr1_0 => ((c0_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c2_1(X58) | c3_1(X58)) | (~c1_1(X58))))) | hskp15)) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c2_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c0_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp3)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c1_1(X61))) | (~c2_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp10)) & ((![X63: $i] : (ndr1_0 => ((c0_1(X63) | (~c1_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => (((~c0_1(X64)) | (~c1_1(X64))) | (~c3_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c0_1(X65) | (~c1_1(X65))) | (~c3_1(X65)))) | hskp13) | hskp17)) & ((![X66: $i] : (ndr1_0 => ((c0_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))) | hskp4) | hskp18)) & ((![X67: $i] : (ndr1_0 => ((c0_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c0_1(X68))) | (~c3_1(X68))))) | hskp19)) & (![X69: $i] : (ndr1_0 => ((c0_1(X69) | (~c2_1(X69))) | (~c3_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c1_1(X70)))))) & ((![X71: $i] : (ndr1_0 => ((c0_1(X71) | (~c2_1(X71))) | (~c3_1(X71)))) | hskp13) | hskp20)) & ((![X72: $i] : (ndr1_0 => ((c1_1(X72) | c2_1(X72)) | c3_1(X72))) | ![X73: $i] : (ndr1_0 => ((c1_1(X73) | c3_1(X73)) | (~c2_1(X73))))) | ![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c1_1(X74)))))) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c2_1(X75)) | c3_1(X75))) | ![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c1_1(X76))))) | hskp12)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c2_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c1_1(X78) | (~c0_1(X78))) | (~c2_1(X78))))) | ![X79: $i] : (ndr1_0 => ((c1_1(X79) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((![X80: $i] : (ndr1_0 => ((c1_1(X80) | c2_1(X80)) | (~c0_1(X80)))) | ![X81: $i] : (ndr1_0 => ((c1_1(X81) | (~c2_1(X81))) | (~c3_1(X81))))) | ![X82: $i] : (ndr1_0 => ((c2_1(X82) | (~c1_1(X82))) | (~c3_1(X82)))))) & ((![X83: $i] : (ndr1_0 => ((c1_1(X83) | c2_1(X83)) | (~c0_1(X83)))) | hskp30) | hskp5)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | c2_1(X84)) | (~c0_1(X84)))) | hskp4) | hskp10)) & ((![X85: $i] : (ndr1_0 => ((c1_1(X85) | c2_1(X85)) | (~c3_1(X85)))) | ![X86: $i] : (ndr1_0 => ((c2_1(X86) | c3_1(X86)) | (~c1_1(X86))))) | hskp21)) & ((![X87: $i] : (ndr1_0 => ((c1_1(X87) | c2_1(X87)) | (~c3_1(X87)))) | hskp1) | hskp10)) & ((![X88: $i] : (ndr1_0 => ((c1_1(X88) | c2_1(X88)) | (~c3_1(X88)))) | hskp22) | hskp2)) & ((![X89: $i] : (ndr1_0 => ((c1_1(X89) | c3_1(X89)) | (~c2_1(X89)))) | hskp23) | hskp6)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | c3_1(X90)) | (~c2_1(X90)))) | hskp3) | hskp17)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c0_1(X91))) | (~c2_1(X91)))) | hskp10) | hskp11)) & ((![X92: $i] : (ndr1_0 => ((c1_1(X92) | (~c0_1(X92))) | (~c3_1(X92)))) | hskp30) | hskp15)) & ((![X93: $i] : (ndr1_0 => ((c1_1(X93) | (~c0_1(X93))) | (~c3_1(X93)))) | hskp6) | hskp18)) & ((![X94: $i] : (ndr1_0 => ((c1_1(X94) | (~c2_1(X94))) | (~c3_1(X94)))) | ![X95: $i] : (ndr1_0 => (((~c1_1(X95)) | (~c2_1(X95))) | (~c3_1(X95))))) | hskp27)) & (![X96: $i] : (ndr1_0 => ((c1_1(X96) | (~c2_1(X96))) | (~c3_1(X96)))) | hskp10)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | c3_1(X97)) | (~c0_1(X97)))) | hskp16) | hskp15)) & ((![X98: $i] : (ndr1_0 => ((c2_1(X98) | c3_1(X98)) | (~c1_1(X98)))) | ![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c1_1(X99))) | (~c3_1(X99))))) | ![X100: $i] : (ndr1_0 => ((c3_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))))) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c1_1(X101)))) | hskp1) | hskp22)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c0_1(X102))) | (~c1_1(X102)))) | hskp16) | hskp24)) & ((![X103: $i] : (ndr1_0 => ((c2_1(X103) | (~c1_1(X103))) | (~c3_1(X103)))) | ![X104: $i] : (ndr1_0 => (((~c0_1(X104)) | (~c1_1(X104))) | (~c3_1(X104))))) | hskp20)) & ((![X105: $i] : (ndr1_0 => ((c2_1(X105) | (~c1_1(X105))) | (~c3_1(X105)))) | hskp11) | hskp12)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c0_1(X106))) | (~c2_1(X106)))) | ![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c3_1(X107))))) | hskp10)) & ((![X108: $i] : (ndr1_0 => ((c3_1(X108) | (~c0_1(X108))) | (~c2_1(X108)))) | hskp4) | hskp17)) & ((![X109: $i] : (ndr1_0 => ((c3_1(X109) | (~c0_1(X109))) | (~c2_1(X109)))) | hskp12) | hskp0)) & ((![X110: $i] : (ndr1_0 => ((c3_1(X110) | (~c0_1(X110))) | (~c2_1(X110)))) | hskp24) | hskp25)) & ((![X111: $i] : (ndr1_0 => ((c3_1(X111) | (~c1_1(X111))) | (~c2_1(X111)))) | hskp14) | hskp10)) & ((![X112: $i] : (ndr1_0 => (((~c0_1(X112)) | (~c1_1(X112))) | (~c2_1(X112)))) | hskp1) | hskp4)) & ((![X113: $i] : (ndr1_0 => (((~c0_1(X113)) | (~c1_1(X113))) | (~c2_1(X113)))) | hskp3) | hskp8)) & (![X114: $i] : (ndr1_0 => (((~c0_1(X114)) | (~c1_1(X114))) | (~c2_1(X114)))) | hskp17)) & ((![X115: $i] : (ndr1_0 => (((~c0_1(X115)) | (~c1_1(X115))) | (~c3_1(X115)))) | hskp26) | hskp25)) & ((![X116: $i] : (ndr1_0 => (((~c1_1(X116)) | (~c2_1(X116))) | (~c3_1(X116)))) | hskp4) | hskp11)) & ((hskp28 | hskp1) | hskp21)) & ((hskp23 | hskp5) | hskp8)) & ((hskp30 | hskp27) | hskp6)) & ((hskp16 | hskp19) | hskp15)) & ((hskp16 | hskp21) | hskp18)))) <=> (~(~(((~hskp0) | (ndr1_0 & (~c1_1(a1969)) & (~c2_1(a1969)) & (~c3_1(a1969)))) & ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) & ((~hskp2) | (ndr1_0 & c1_1(a1973) & c3_1(a1973) & (~c2_1(a1973)))) & ((~hskp3) | (ndr1_0 & c1_1(a1974) & c2_1(a1974) & (~c0_1(a1974)))) & ((~hskp4) | (ndr1_0 & c0_1(a1975) & (~c1_1(a1975)) & (~c2_1(a1975)))) & ((~hskp5) | (ndr1_0 & c1_1(a1977) & (~c2_1(a1977)) & (~c3_1(a1977)))) & ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) & ((~hskp7) | (ndr1_0 & c0_1(a1981) & c1_1(a1981) & (~c3_1(a1981)))) & ((~hskp8) | (ndr1_0 & c3_1(a1983) & (~c0_1(a1983)) & (~c1_1(a1983)))) & ((~hskp9) | (ndr1_0 & c1_1(a1985) & (~c0_1(a1985)) & (~c3_1(a1985)))) & ((~hskp10) | (ndr1_0 & c2_1(a1987) & c3_1(a1987) & (~c1_1(a1987)))) & ((~hskp11) | (ndr1_0 & c2_1(a1989) & (~c0_1(a1989)) & (~c3_1(a1989)))) & ((~hskp12) | (ndr1_0 & c3_1(a1990) & (~c1_1(a1990)) & (~c2_1(a1990)))) & ((~hskp13) | (ndr1_0 & c0_1(a1991) & c2_1(a1991) & (~c3_1(a1991)))) & ((~hskp14) | (ndr1_0 & c1_1(a1992) & (~c0_1(a1992)) & (~c2_1(a1992)))) & ((~hskp15) | (ndr1_0 & c2_1(a1993) & (~c0_1(a1993)) & (~c1_1(a1993)))) & ((~hskp16) | (ndr1_0 & c0_1(a1996) & c3_1(a1996) & (~c2_1(a1996)))) & ((~hskp17) | (ndr1_0 & c1_1(a1998) & c3_1(a1998) & (~c0_1(a1998)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a2000)) & (~c1_1(a2000)) & (~c3_1(a2000)))) & ((~hskp19) | (ndr1_0 & c2_1(a2001) & c3_1(a2001) & (~c0_1(a2001)))) & ((~hskp20) | (ndr1_0 & c1_1(a2003) & c2_1(a2003) & (~c3_1(a2003)))) & ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) & ((~hskp22) | (ndr1_0 & c0_1(a2012) & (~c2_1(a2012)) & (~c3_1(a2012)))) & ((~hskp23) | (ndr1_0 & c0_1(a2014) & c1_1(a2014) & (~c2_1(a2014)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a2031)) & (~c1_1(a2031)) & (~c2_1(a2031)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a2041)) & (~c2_1(a2041)) & (~c3_1(a2041)))) & ((~hskp26) | (ndr1_0 & c0_1(a2049) & c3_1(a2049) & (~c1_1(a2049)))) & ((~hskp27) | (ndr1_0 & c1_1(a1970) & c2_1(a1970) & c3_1(a1970))) & ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) & ((~hskp29) | (ndr1_0 & c0_1(a1978) & c1_1(a1978) & c2_1(a1978))) & ((~hskp30) | (ndr1_0 & c0_1(a2005) & c2_1(a2005) & c3_1(a2005))) & (hskp0 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c1_1(V) | (~c0_1(V)) | (~ndr1_0))) & (hskp27 | ![W: $i] : (c1_1(W) | c0_1(W) | c3_1(W) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | c0_1(X) | c3_1(X) | (~ndr1_0))) & (![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c0_1(Z) | (~c3_1(Z)) | (~ndr1_0)) | ![X1: $i] : ((~c0_1(X1)) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c0_1(X3) | c3_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c3_1(X4) | (~c2_1(X4)) | (~c1_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c1_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c1_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c1_1(X7) | (~c0_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | c3_1(X8) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c1_1(X9)) | (~ndr1_0))) & (hskp28 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : ((~c3_1(X11)) | (~c2_1(X11)) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0)) | ![X13: $i] : (c2_1(X13) | c1_1(X13) | c3_1(X13) | (~ndr1_0))) & (hskp3 | ![X14: $i] : (c1_1(X14) | c0_1(X14) | (~c2_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | (~c0_1(X15)) | (~c1_1(X15)) | (~ndr1_0))) & (hskp4 | hskp27 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c2_1(X16)) | (~ndr1_0))) & (hskp5 | ![X17: $i] : (c1_1(X17) | c0_1(X17) | (~c3_1(X17)) | (~ndr1_0)) | ![X18: $i] : ((~c0_1(X18)) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp6 | hskp29 | ![X19: $i] : (c1_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0))) & (hskp1 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | c3_1(X20) | (~ndr1_0)) | ![X21: $i] : (c2_1(X21) | (~c0_1(X21)) | (~c3_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c2_1(X22) | c0_1(X22) | c3_1(X22) | (~ndr1_0)) | ![X23: $i] : ((~c3_1(X23)) | (~c2_1(X23)) | (~c1_1(X23)) | (~ndr1_0))) & (hskp7 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | (~c2_1(X25)) | (~c1_1(X25)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X26: $i] : (c2_1(X26) | c0_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c3_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c2_1(X29) | (~c3_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp29 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c3_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c0_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp9 | ![X32: $i] : (c2_1(X32) | c0_1(X32) | (~c3_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c2_1(X34) | c0_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c2_1(X35) | c1_1(X35) | (~c0_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c2_1(X36) | (~c0_1(X36)) | (~c1_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c2_1(X37) | c0_1(X37) | (~c3_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c2_1(X38) | c1_1(X38) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c2_1(X39) | c3_1(X39) | (~c1_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c0_1(X42)) | (~c1_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))) & (hskp8 | ![X43: $i] : (c2_1(X43) | c0_1(X43) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | (~c0_1(X44)) | (~c2_1(X44)) | (~ndr1_0))) & (hskp10 | ![X45: $i] : (c2_1(X45) | c0_1(X45) | (~c3_1(X45)) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | (~c0_1(X46)) | (~c1_1(X46)) | (~ndr1_0))) & (hskp9 | hskp11 | ![X47: $i] : (c2_1(X47) | c0_1(X47) | (~c3_1(X47)) | (~ndr1_0))) & (hskp12 | ![X48: $i] : (c0_1(X48) | c3_1(X48) | (~c1_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c0_1(X49) | (~c3_1(X49)) | (~c1_1(X49)) | (~ndr1_0))) & (![X50: $i] : (c0_1(X50) | c3_1(X50) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | (~c0_1(X51)) | (~c1_1(X51)) | (~ndr1_0)) | ![X52: $i] : ((~c0_1(X52)) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0))) & (hskp13 | ![X53: $i] : (c0_1(X53) | c3_1(X53) | (~c2_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c0_1(X54) | (~c3_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp14 | ![X55: $i] : (c0_1(X55) | c3_1(X55) | (~c2_1(X55)) | (~ndr1_0)) | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | (~c3_1(X56)) | (~ndr1_0))) & (hskp15 | ![X57: $i] : (c0_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X58: $i] : (c2_1(X58) | c3_1(X58) | (~c1_1(X58)) | (~ndr1_0))) & (hskp3 | ![X59: $i] : (c0_1(X59) | (~c2_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c0_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp10 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c0_1(X63) | (~c3_1(X63)) | (~c1_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | (~c3_1(X64)) | (~c1_1(X64)) | (~ndr1_0))) & (hskp13 | hskp17 | ![X65: $i] : (c0_1(X65) | (~c3_1(X65)) | (~c1_1(X65)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X66: $i] : (c0_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp19 | ![X67: $i] : (c0_1(X67) | (~c3_1(X67)) | (~c2_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c1_1(X68) | (~c0_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c0_1(X70)) | (~c1_1(X70)) | (~ndr1_0))) & (hskp13 | hskp20 | ![X71: $i] : (c0_1(X71) | (~c3_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (![X72: $i] : (c2_1(X72) | c1_1(X72) | c3_1(X72) | (~ndr1_0)) | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c1_1(X74)) | (~ndr1_0)) | ![X73: $i] : (c1_1(X73) | c3_1(X73) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | ![X75: $i] : (c2_1(X75) | c1_1(X75) | c3_1(X75) | (~ndr1_0)) | ![X76: $i] : (c2_1(X76) | (~c0_1(X76)) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : (c1_1(X79) | (~c3_1(X79)) | (~c2_1(X79)) | (~ndr1_0)) | ![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c1_1(X78) | (~c0_1(X78)) | (~c2_1(X78)) | (~ndr1_0))) & (![X80: $i] : (c2_1(X80) | c1_1(X80) | (~c0_1(X80)) | (~ndr1_0)) | ![X81: $i] : (c1_1(X81) | (~c3_1(X81)) | (~c2_1(X81)) | (~ndr1_0)) | ![X82: $i] : (c2_1(X82) | (~c3_1(X82)) | (~c1_1(X82)) | (~ndr1_0))) & (hskp5 | hskp30 | ![X83: $i] : (c2_1(X83) | c1_1(X83) | (~c0_1(X83)) | (~ndr1_0))) & (hskp4 | hskp10 | ![X84: $i] : (c2_1(X84) | c1_1(X84) | (~c0_1(X84)) | (~ndr1_0))) & (hskp21 | ![X85: $i] : (c2_1(X85) | c1_1(X85) | (~c3_1(X85)) | (~ndr1_0)) | ![X86: $i] : (c2_1(X86) | c3_1(X86) | (~c1_1(X86)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X87: $i] : (c2_1(X87) | c1_1(X87) | (~c3_1(X87)) | (~ndr1_0))) & (hskp2 | hskp22 | ![X88: $i] : (c2_1(X88) | c1_1(X88) | (~c3_1(X88)) | (~ndr1_0))) & (hskp6 | hskp23 | ![X89: $i] : (c1_1(X89) | c3_1(X89) | (~c2_1(X89)) | (~ndr1_0))) & (hskp3 | hskp17 | ![X90: $i] : (c1_1(X90) | c3_1(X90) | (~c2_1(X90)) | (~ndr1_0))) & (hskp10 | hskp11 | ![X91: $i] : (c1_1(X91) | (~c0_1(X91)) | (~c2_1(X91)) | (~ndr1_0))) & (hskp15 | hskp30 | ![X92: $i] : (c1_1(X92) | (~c0_1(X92)) | (~c3_1(X92)) | (~ndr1_0))) & (hskp6 | hskp18 | ![X93: $i] : (c1_1(X93) | (~c0_1(X93)) | (~c3_1(X93)) | (~ndr1_0))) & (hskp27 | ![X94: $i] : (c1_1(X94) | (~c3_1(X94)) | (~c2_1(X94)) | (~ndr1_0)) | ![X95: $i] : ((~c3_1(X95)) | (~c2_1(X95)) | (~c1_1(X95)) | (~ndr1_0))) & (hskp10 | ![X96: $i] : (c1_1(X96) | (~c3_1(X96)) | (~c2_1(X96)) | (~ndr1_0))) & (hskp15 | hskp16 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | c3_1(X97) | (~ndr1_0))) & (![X98: $i] : (c2_1(X98) | c3_1(X98) | (~c1_1(X98)) | (~ndr1_0)) | ![X99: $i] : (c2_1(X99) | (~c3_1(X99)) | (~c1_1(X99)) | (~ndr1_0)) | ![X100: $i] : ((~c0_1(X100)) | c3_1(X100) | (~c1_1(X100)) | (~ndr1_0))) & (hskp1 | hskp22 | ![X101: $i] : (c2_1(X101) | (~c0_1(X101)) | (~c1_1(X101)) | (~ndr1_0))) & (hskp16 | hskp24 | ![X102: $i] : (c2_1(X102) | (~c0_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp20 | ![X103: $i] : (c2_1(X103) | (~c3_1(X103)) | (~c1_1(X103)) | (~ndr1_0)) | ![X104: $i] : ((~c0_1(X104)) | (~c3_1(X104)) | (~c1_1(X104)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X105: $i] : (c2_1(X105) | (~c3_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp10 | ![X106: $i] : ((~c0_1(X106)) | c3_1(X106) | (~c2_1(X106)) | (~ndr1_0)) | ![X107: $i] : ((~c0_1(X107)) | (~c3_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp4 | hskp17 | ![X108: $i] : ((~c0_1(X108)) | c3_1(X108) | (~c2_1(X108)) | (~ndr1_0))) & (hskp0 | hskp12 | ![X109: $i] : ((~c0_1(X109)) | c3_1(X109) | (~c2_1(X109)) | (~ndr1_0))) & (hskp24 | hskp25 | ![X110: $i] : ((~c0_1(X110)) | c3_1(X110) | (~c2_1(X110)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X111: $i] : (c3_1(X111) | (~c2_1(X111)) | (~c1_1(X111)) | (~ndr1_0))) & (hskp1 | hskp4 | ![X112: $i] : ((~c0_1(X112)) | (~c2_1(X112)) | (~c1_1(X112)) | (~ndr1_0))) & (hskp3 | hskp8 | ![X113: $i] : ((~c0_1(X113)) | (~c2_1(X113)) | (~c1_1(X113)) | (~ndr1_0))) & (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X115: $i] : ((~c0_1(X115)) | (~c3_1(X115)) | (~c1_1(X115)) | (~ndr1_0))) & (hskp4 | hskp11 | ![X116: $i] : ((~c3_1(X116)) | (~c2_1(X116)) | (~c1_1(X116)) | (~ndr1_0))) & (hskp1 | hskp21 | hskp28) & (hskp5 | hskp8 | hskp23) & (hskp6 | hskp27 | hskp30) & (hskp15 | hskp16 | hskp19) & (hskp16 | hskp18 | hskp21))))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[14])).
% 0.19/0.50 tff(16,plain,
% 0.19/0.50 ((~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a1969))) & (~c2_1(a1969))) & (~c3_1(a1969)))) & ((~hskp1) | (((ndr1_0 & c0_1(a1971)) & c2_1(a1971)) & (~c1_1(a1971))))) & ((~hskp2) | (((ndr1_0 & c1_1(a1973)) & c3_1(a1973)) & (~c2_1(a1973))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1974)) & c2_1(a1974)) & (~c0_1(a1974))))) & ((~hskp4) | (((ndr1_0 & c0_1(a1975)) & (~c1_1(a1975))) & (~c2_1(a1975))))) & ((~hskp5) | (((ndr1_0 & c1_1(a1977)) & (~c2_1(a1977))) & (~c3_1(a1977))))) & ((~hskp6) | (((ndr1_0 & c3_1(a1979)) & (~c0_1(a1979))) & (~c2_1(a1979))))) & ((~hskp7) | (((ndr1_0 & c0_1(a1981)) & c1_1(a1981)) & (~c3_1(a1981))))) & ((~hskp8) | (((ndr1_0 & c3_1(a1983)) & (~c0_1(a1983))) & (~c1_1(a1983))))) & ((~hskp9) | (((ndr1_0 & c1_1(a1985)) & (~c0_1(a1985))) & (~c3_1(a1985))))) & ((~hskp10) | (((ndr1_0 & c2_1(a1987)) & c3_1(a1987)) & (~c1_1(a1987))))) & ((~hskp11) | (((ndr1_0 & c2_1(a1989)) & (~c0_1(a1989))) & (~c3_1(a1989))))) & ((~hskp12) | (((ndr1_0 & c3_1(a1990)) & (~c1_1(a1990))) & (~c2_1(a1990))))) & ((~hskp13) | (((ndr1_0 & c0_1(a1991)) & c2_1(a1991)) & (~c3_1(a1991))))) & ((~hskp14) | (((ndr1_0 & c1_1(a1992)) & (~c0_1(a1992))) & (~c2_1(a1992))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1993)) & (~c0_1(a1993))) & (~c1_1(a1993))))) & ((~hskp16) | (((ndr1_0 & c0_1(a1996)) & c3_1(a1996)) & (~c2_1(a1996))))) & ((~hskp17) | (((ndr1_0 & c1_1(a1998)) & c3_1(a1998)) & (~c0_1(a1998))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a2000))) & (~c1_1(a2000))) & (~c3_1(a2000))))) & ((~hskp19) | (((ndr1_0 & c2_1(a2001)) & c3_1(a2001)) & (~c0_1(a2001))))) & ((~hskp20) | (((ndr1_0 & c1_1(a2003)) & c2_1(a2003)) & (~c3_1(a2003))))) & ((~hskp21) | (((ndr1_0 & c2_1(a2009)) & (~c1_1(a2009))) & (~c3_1(a2009))))) & ((~hskp22) | (((ndr1_0 & c0_1(a2012)) & (~c2_1(a2012))) & (~c3_1(a2012))))) & ((~hskp23) | (((ndr1_0 & c0_1(a2014)) & c1_1(a2014)) & (~c2_1(a2014))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a2031))) & (~c1_1(a2031))) & (~c2_1(a2031))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a2041))) & (~c2_1(a2041))) & (~c3_1(a2041))))) & ((~hskp26) | (((ndr1_0 & c0_1(a2049)) & c3_1(a2049)) & (~c1_1(a2049))))) & ((~hskp27) | (((ndr1_0 & c1_1(a1970)) & c2_1(a1970)) & c3_1(a1970)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1972)) & c1_1(a1972)) & c3_1(a1972)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1978)) & c1_1(a1978)) & c2_1(a1978)))) & ((~hskp30) | (((ndr1_0 & c0_1(a2005)) & c2_1(a2005)) & c3_1(a2005)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c1_1(V) | c2_1(V)) | (~c0_1(V))))) | hskp0)) & ((![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | c3_1(W))) | ![X: $i] : (ndr1_0 => ((c0_1(X) | c2_1(X)) | c3_1(X)))) | hskp27)) & ((![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))))) | ![X1: $i] : (ndr1_0 => (((~c0_1(X1)) | (~c1_1(X1))) | (~c2_1(X1)))))) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | ![X3: $i] : (ndr1_0 => ((c0_1(X3) | c3_1(X3)) | (~c2_1(X3))))) | ![X4: $i] : (ndr1_0 => ((c3_1(X4) | (~c1_1(X4))) | (~c2_1(X4)))))) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c1_1(X6) | c2_1(X6)) | (~c3_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c1_1(X7) | (~c0_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c3_1(X8))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c1_1(X9))))) | hskp1)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | c3_1(X10))) | ![X11: $i] : (ndr1_0 => (((~c1_1(X11)) | (~c2_1(X11))) | (~c3_1(X11))))) | hskp28)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | ![X13: $i] : (ndr1_0 => ((c1_1(X13) | c2_1(X13)) | c3_1(X13)))) | hskp2)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c1_1(X14)) | (~c2_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | (~c0_1(X15))) | (~c1_1(X15))))) | hskp3)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c2_1(X16)))) | hskp4) | hskp27)) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c1_1(X17)) | (~c3_1(X17)))) | ![X18: $i] : (ndr1_0 => ((c3_1(X18) | (~c0_1(X18))) | (~c2_1(X18))))) | hskp5)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c1_1(X19)) | (~c3_1(X19)))) | hskp29) | hskp6)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | c3_1(X20))) | ![X21: $i] : (ndr1_0 => ((c2_1(X21) | (~c0_1(X21))) | (~c3_1(X21))))) | hskp1)) & (![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | c3_1(X22))) | ![X23: $i] : (ndr1_0 => (((~c1_1(X23)) | (~c2_1(X23))) | (~c3_1(X23)))))) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c1_1(X24)))) | ![X25: $i] : (ndr1_0 => ((c0_1(X25) | (~c1_1(X25))) | (~c2_1(X25))))) | hskp7)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c2_1(X26)) | (~c1_1(X26)))) | hskp28) | hskp8)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c3_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28))))) | ![X29: $i] : (ndr1_0 => ((c2_1(X29) | (~c1_1(X29))) | (~c3_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c3_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp29)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c2_1(X32)) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c2_1(X33))) | (~c3_1(X33))))) | hskp9)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | c2_1(X34)) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | (~c0_1(X35))))) | ![X36: $i] : (ndr1_0 => ((c2_1(X36) | (~c0_1(X36))) | (~c1_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | c2_1(X37)) | (~c3_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => ((c2_1(X39) | c3_1(X39)) | (~c1_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | c2_1(X40)) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c2_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) | (~c0_1(X44))) | (~c2_1(X44))))) | hskp8)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | c2_1(X45)) | (~c3_1(X45)))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | (~c0_1(X46))) | (~c1_1(X46))))) | hskp10)) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c2_1(X47)) | (~c3_1(X47)))) | hskp9) | hskp11)) & ((![X48: $i] : (ndr1_0 => ((c0_1(X48) | c3_1(X48)) | (~c1_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c0_1(X49) | (~c1_1(X49))) | (~c3_1(X49))))) | hskp12)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | c3_1(X50)) | (~c1_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | ![X52: $i] : (ndr1_0 => (((~c0_1(X52)) | (~c1_1(X52))) | (~c2_1(X52)))))) & ((![X53: $i] : (ndr1_0 => ((c0_1(X53) | c3_1(X53)) | (~c2_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c3_1(X54))))) | hskp13)) & ((![X55: $i] : (ndr1_0 => ((c0_1(X55) | c3_1(X55)) | (~c2_1(X55)))) | ![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56))))) | hskp14)) & ((![X57: $i] : (ndr1_0 => ((c0_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c2_1(X58) | c3_1(X58)) | (~c1_1(X58))))) | hskp15)) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c2_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c0_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp3)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c1_1(X61))) | (~c2_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp10)) & ((![X63: $i] : (ndr1_0 => ((c0_1(X63) | (~c1_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => (((~c0_1(X64)) | (~c1_1(X64))) | (~c3_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c0_1(X65) | (~c1_1(X65))) | (~c3_1(X65)))) | hskp13) | hskp17)) & ((![X66: $i] : (ndr1_0 => ((c0_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))) | hskp4) | hskp18)) & ((![X67: $i] : (ndr1_0 => ((c0_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c0_1(X68))) | (~c3_1(X68))))) | hskp19)) & (![X69: $i] : (ndr1_0 => ((c0_1(X69) | (~c2_1(X69))) | (~c3_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c1_1(X70)))))) & ((![X71: $i] : (ndr1_0 => ((c0_1(X71) | (~c2_1(X71))) | (~c3_1(X71)))) | hskp13) | hskp20)) & ((![X72: $i] : (ndr1_0 => ((c1_1(X72) | c2_1(X72)) | c3_1(X72))) | ![X73: $i] : (ndr1_0 => ((c1_1(X73) | c3_1(X73)) | (~c2_1(X73))))) | ![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c1_1(X74)))))) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c2_1(X75)) | c3_1(X75))) | ![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c1_1(X76))))) | hskp12)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c2_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c1_1(X78) | (~c0_1(X78))) | (~c2_1(X78))))) | ![X79: $i] : (ndr1_0 => ((c1_1(X79) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((![X80: $i] : (ndr1_0 => ((c1_1(X80) | c2_1(X80)) | (~c0_1(X80)))) | ![X81: $i] : (ndr1_0 => ((c1_1(X81) | (~c2_1(X81))) | (~c3_1(X81))))) | ![X82: $i] : (ndr1_0 => ((c2_1(X82) | (~c1_1(X82))) | (~c3_1(X82)))))) & ((![X83: $i] : (ndr1_0 => ((c1_1(X83) | c2_1(X83)) | (~c0_1(X83)))) | hskp30) | hskp5)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | c2_1(X84)) | (~c0_1(X84)))) | hskp4) | hskp10)) & ((![X85: $i] : (ndr1_0 => ((c1_1(X85) | c2_1(X85)) | (~c3_1(X85)))) | ![X86: $i] : (ndr1_0 => ((c2_1(X86) | c3_1(X86)) | (~c1_1(X86))))) | hskp21)) & ((![X87: $i] : (ndr1_0 => ((c1_1(X87) | c2_1(X87)) | (~c3_1(X87)))) | hskp1) | hskp10)) & ((![X88: $i] : (ndr1_0 => ((c1_1(X88) | c2_1(X88)) | (~c3_1(X88)))) | hskp22) | hskp2)) & ((![X89: $i] : (ndr1_0 => ((c1_1(X89) | c3_1(X89)) | (~c2_1(X89)))) | hskp23) | hskp6)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | c3_1(X90)) | (~c2_1(X90)))) | hskp3) | hskp17)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c0_1(X91))) | (~c2_1(X91)))) | hskp10) | hskp11)) & ((![X92: $i] : (ndr1_0 => ((c1_1(X92) | (~c0_1(X92))) | (~c3_1(X92)))) | hskp30) | hskp15)) & ((![X93: $i] : (ndr1_0 => ((c1_1(X93) | (~c0_1(X93))) | (~c3_1(X93)))) | hskp6) | hskp18)) & ((![X94: $i] : (ndr1_0 => ((c1_1(X94) | (~c2_1(X94))) | (~c3_1(X94)))) | ![X95: $i] : (ndr1_0 => (((~c1_1(X95)) | (~c2_1(X95))) | (~c3_1(X95))))) | hskp27)) & (![X96: $i] : (ndr1_0 => ((c1_1(X96) | (~c2_1(X96))) | (~c3_1(X96)))) | hskp10)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | c3_1(X97)) | (~c0_1(X97)))) | hskp16) | hskp15)) & ((![X98: $i] : (ndr1_0 => ((c2_1(X98) | c3_1(X98)) | (~c1_1(X98)))) | ![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c1_1(X99))) | (~c3_1(X99))))) | ![X100: $i] : (ndr1_0 => ((c3_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))))) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c1_1(X101)))) | hskp1) | hskp22)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c0_1(X102))) | (~c1_1(X102)))) | hskp16) | hskp24)) & ((![X103: $i] : (ndr1_0 => ((c2_1(X103) | (~c1_1(X103))) | (~c3_1(X103)))) | ![X104: $i] : (ndr1_0 => (((~c0_1(X104)) | (~c1_1(X104))) | (~c3_1(X104))))) | hskp20)) & ((![X105: $i] : (ndr1_0 => ((c2_1(X105) | (~c1_1(X105))) | (~c3_1(X105)))) | hskp11) | hskp12)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c0_1(X106))) | (~c2_1(X106)))) | ![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c3_1(X107))))) | hskp10)) & ((![X108: $i] : (ndr1_0 => ((c3_1(X108) | (~c0_1(X108))) | (~c2_1(X108)))) | hskp4) | hskp17)) & ((![X109: $i] : (ndr1_0 => ((c3_1(X109) | (~c0_1(X109))) | (~c2_1(X109)))) | hskp12) | hskp0)) & ((![X110: $i] : (ndr1_0 => ((c3_1(X110) | (~c0_1(X110))) | (~c2_1(X110)))) | hskp24) | hskp25)) & ((![X111: $i] : (ndr1_0 => ((c3_1(X111) | (~c1_1(X111))) | (~c2_1(X111)))) | hskp14) | hskp10)) & ((![X112: $i] : (ndr1_0 => (((~c0_1(X112)) | (~c1_1(X112))) | (~c2_1(X112)))) | hskp1) | hskp4)) & ((![X113: $i] : (ndr1_0 => (((~c0_1(X113)) | (~c1_1(X113))) | (~c2_1(X113)))) | hskp3) | hskp8)) & (![X114: $i] : (ndr1_0 => (((~c0_1(X114)) | (~c1_1(X114))) | (~c2_1(X114)))) | hskp17)) & ((![X115: $i] : (ndr1_0 => (((~c0_1(X115)) | (~c1_1(X115))) | (~c3_1(X115)))) | hskp26) | hskp25)) & ((![X116: $i] : (ndr1_0 => (((~c1_1(X116)) | (~c2_1(X116))) | (~c3_1(X116)))) | hskp4) | hskp11)) & ((hskp28 | hskp1) | hskp21)) & ((hskp23 | hskp5) | hskp8)) & ((hskp30 | hskp27) | hskp6)) & ((hskp16 | hskp19) | hskp15)) & ((hskp16 | hskp21) | hskp18)))) <=> (((~hskp0) | (ndr1_0 & (~c1_1(a1969)) & (~c2_1(a1969)) & (~c3_1(a1969)))) & ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) & ((~hskp2) | (ndr1_0 & c1_1(a1973) & c3_1(a1973) & (~c2_1(a1973)))) & ((~hskp3) | (ndr1_0 & c1_1(a1974) & c2_1(a1974) & (~c0_1(a1974)))) & ((~hskp4) | (ndr1_0 & c0_1(a1975) & (~c1_1(a1975)) & (~c2_1(a1975)))) & ((~hskp5) | (ndr1_0 & c1_1(a1977) & (~c2_1(a1977)) & (~c3_1(a1977)))) & ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) & ((~hskp7) | (ndr1_0 & c0_1(a1981) & c1_1(a1981) & (~c3_1(a1981)))) & ((~hskp8) | (ndr1_0 & c3_1(a1983) & (~c0_1(a1983)) & (~c1_1(a1983)))) & ((~hskp9) | (ndr1_0 & c1_1(a1985) & (~c0_1(a1985)) & (~c3_1(a1985)))) & ((~hskp10) | (ndr1_0 & c2_1(a1987) & c3_1(a1987) & (~c1_1(a1987)))) & ((~hskp11) | (ndr1_0 & c2_1(a1989) & (~c0_1(a1989)) & (~c3_1(a1989)))) & ((~hskp12) | (ndr1_0 & c3_1(a1990) & (~c1_1(a1990)) & (~c2_1(a1990)))) & ((~hskp13) | (ndr1_0 & c0_1(a1991) & c2_1(a1991) & (~c3_1(a1991)))) & ((~hskp14) | (ndr1_0 & c1_1(a1992) & (~c0_1(a1992)) & (~c2_1(a1992)))) & ((~hskp15) | (ndr1_0 & c2_1(a1993) & (~c0_1(a1993)) & (~c1_1(a1993)))) & ((~hskp16) | (ndr1_0 & c0_1(a1996) & c3_1(a1996) & (~c2_1(a1996)))) & ((~hskp17) | (ndr1_0 & c1_1(a1998) & c3_1(a1998) & (~c0_1(a1998)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a2000)) & (~c1_1(a2000)) & (~c3_1(a2000)))) & ((~hskp19) | (ndr1_0 & c2_1(a2001) & c3_1(a2001) & (~c0_1(a2001)))) & ((~hskp20) | (ndr1_0 & c1_1(a2003) & c2_1(a2003) & (~c3_1(a2003)))) & ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) & ((~hskp22) | (ndr1_0 & c0_1(a2012) & (~c2_1(a2012)) & (~c3_1(a2012)))) & ((~hskp23) | (ndr1_0 & c0_1(a2014) & c1_1(a2014) & (~c2_1(a2014)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a2031)) & (~c1_1(a2031)) & (~c2_1(a2031)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a2041)) & (~c2_1(a2041)) & (~c3_1(a2041)))) & ((~hskp26) | (ndr1_0 & c0_1(a2049) & c3_1(a2049) & (~c1_1(a2049)))) & ((~hskp27) | (ndr1_0 & c1_1(a1970) & c2_1(a1970) & c3_1(a1970))) & ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) & ((~hskp29) | (ndr1_0 & c0_1(a1978) & c1_1(a1978) & c2_1(a1978))) & ((~hskp30) | (ndr1_0 & c0_1(a2005) & c2_1(a2005) & c3_1(a2005))) & (hskp0 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c1_1(V) | (~c0_1(V)) | (~ndr1_0))) & (hskp27 | ![W: $i] : (c1_1(W) | c0_1(W) | c3_1(W) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | c0_1(X) | c3_1(X) | (~ndr1_0))) & (![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c0_1(Z) | (~c3_1(Z)) | (~ndr1_0)) | ![X1: $i] : ((~c0_1(X1)) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c0_1(X3) | c3_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c3_1(X4) | (~c2_1(X4)) | (~c1_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c1_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c1_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c1_1(X7) | (~c0_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | c3_1(X8) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c1_1(X9)) | (~ndr1_0))) & (hskp28 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : ((~c3_1(X11)) | (~c2_1(X11)) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0)) | ![X13: $i] : (c2_1(X13) | c1_1(X13) | c3_1(X13) | (~ndr1_0))) & (hskp3 | ![X14: $i] : (c1_1(X14) | c0_1(X14) | (~c2_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | (~c0_1(X15)) | (~c1_1(X15)) | (~ndr1_0))) & (hskp4 | hskp27 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c2_1(X16)) | (~ndr1_0))) & (hskp5 | ![X17: $i] : (c1_1(X17) | c0_1(X17) | (~c3_1(X17)) | (~ndr1_0)) | ![X18: $i] : ((~c0_1(X18)) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp6 | hskp29 | ![X19: $i] : (c1_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0))) & (hskp1 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | c3_1(X20) | (~ndr1_0)) | ![X21: $i] : (c2_1(X21) | (~c0_1(X21)) | (~c3_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c2_1(X22) | c0_1(X22) | c3_1(X22) | (~ndr1_0)) | ![X23: $i] : ((~c3_1(X23)) | (~c2_1(X23)) | (~c1_1(X23)) | (~ndr1_0))) & (hskp7 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | (~c2_1(X25)) | (~c1_1(X25)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X26: $i] : (c2_1(X26) | c0_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c3_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c2_1(X29) | (~c3_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp29 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c3_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c0_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp9 | ![X32: $i] : (c2_1(X32) | c0_1(X32) | (~c3_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c2_1(X34) | c0_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c2_1(X35) | c1_1(X35) | (~c0_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c2_1(X36) | (~c0_1(X36)) | (~c1_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c2_1(X37) | c0_1(X37) | (~c3_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c2_1(X38) | c1_1(X38) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c2_1(X39) | c3_1(X39) | (~c1_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c0_1(X42)) | (~c1_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))) & (hskp8 | ![X43: $i] : (c2_1(X43) | c0_1(X43) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | (~c0_1(X44)) | (~c2_1(X44)) | (~ndr1_0))) & (hskp10 | ![X45: $i] : (c2_1(X45) | c0_1(X45) | (~c3_1(X45)) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | (~c0_1(X46)) | (~c1_1(X46)) | (~ndr1_0))) & (hskp9 | hskp11 | ![X47: $i] : (c2_1(X47) | c0_1(X47) | (~c3_1(X47)) | (~ndr1_0))) & (hskp12 | ![X48: $i] : (c0_1(X48) | c3_1(X48) | (~c1_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c0_1(X49) | (~c3_1(X49)) | (~c1_1(X49)) | (~ndr1_0))) & (![X50: $i] : (c0_1(X50) | c3_1(X50) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | (~c0_1(X51)) | (~c1_1(X51)) | (~ndr1_0)) | ![X52: $i] : ((~c0_1(X52)) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0))) & (hskp13 | ![X53: $i] : (c0_1(X53) | c3_1(X53) | (~c2_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c0_1(X54) | (~c3_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp14 | ![X55: $i] : (c0_1(X55) | c3_1(X55) | (~c2_1(X55)) | (~ndr1_0)) | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | (~c3_1(X56)) | (~ndr1_0))) & (hskp15 | ![X57: $i] : (c0_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X58: $i] : (c2_1(X58) | c3_1(X58) | (~c1_1(X58)) | (~ndr1_0))) & (hskp3 | ![X59: $i] : (c0_1(X59) | (~c2_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c0_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp10 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c0_1(X63) | (~c3_1(X63)) | (~c1_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | (~c3_1(X64)) | (~c1_1(X64)) | (~ndr1_0))) & (hskp13 | hskp17 | ![X65: $i] : (c0_1(X65) | (~c3_1(X65)) | (~c1_1(X65)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X66: $i] : (c0_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp19 | ![X67: $i] : (c0_1(X67) | (~c3_1(X67)) | (~c2_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c1_1(X68) | (~c0_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c0_1(X70)) | (~c1_1(X70)) | (~ndr1_0))) & (hskp13 | hskp20 | ![X71: $i] : (c0_1(X71) | (~c3_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (![X72: $i] : (c2_1(X72) | c1_1(X72) | c3_1(X72) | (~ndr1_0)) | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c1_1(X74)) | (~ndr1_0)) | ![X73: $i] : (c1_1(X73) | c3_1(X73) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | ![X75: $i] : (c2_1(X75) | c1_1(X75) | c3_1(X75) | (~ndr1_0)) | ![X76: $i] : (c2_1(X76) | (~c0_1(X76)) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : (c1_1(X79) | (~c3_1(X79)) | (~c2_1(X79)) | (~ndr1_0)) | ![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c1_1(X78) | (~c0_1(X78)) | (~c2_1(X78)) | (~ndr1_0))) & (![X80: $i] : (c2_1(X80) | c1_1(X80) | (~c0_1(X80)) | (~ndr1_0)) | ![X81: $i] : (c1_1(X81) | (~c3_1(X81)) | (~c2_1(X81)) | (~ndr1_0)) | ![X82: $i] : (c2_1(X82) | (~c3_1(X82)) | (~c1_1(X82)) | (~ndr1_0))) & (hskp5 | hskp30 | ![X83: $i] : (c2_1(X83) | c1_1(X83) | (~c0_1(X83)) | (~ndr1_0))) & (hskp4 | hskp10 | ![X84: $i] : (c2_1(X84) | c1_1(X84) | (~c0_1(X84)) | (~ndr1_0))) & (hskp21 | ![X85: $i] : (c2_1(X85) | c1_1(X85) | (~c3_1(X85)) | (~ndr1_0)) | ![X86: $i] : (c2_1(X86) | c3_1(X86) | (~c1_1(X86)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X87: $i] : (c2_1(X87) | c1_1(X87) | (~c3_1(X87)) | (~ndr1_0))) & (hskp2 | hskp22 | ![X88: $i] : (c2_1(X88) | c1_1(X88) | (~c3_1(X88)) | (~ndr1_0))) & (hskp6 | hskp23 | ![X89: $i] : (c1_1(X89) | c3_1(X89) | (~c2_1(X89)) | (~ndr1_0))) & (hskp3 | hskp17 | ![X90: $i] : (c1_1(X90) | c3_1(X90) | (~c2_1(X90)) | (~ndr1_0))) & (hskp10 | hskp11 | ![X91: $i] : (c1_1(X91) | (~c0_1(X91)) | (~c2_1(X91)) | (~ndr1_0))) & (hskp15 | hskp30 | ![X92: $i] : (c1_1(X92) | (~c0_1(X92)) | (~c3_1(X92)) | (~ndr1_0))) & (hskp6 | hskp18 | ![X93: $i] : (c1_1(X93) | (~c0_1(X93)) | (~c3_1(X93)) | (~ndr1_0))) & (hskp27 | ![X94: $i] : (c1_1(X94) | (~c3_1(X94)) | (~c2_1(X94)) | (~ndr1_0)) | ![X95: $i] : ((~c3_1(X95)) | (~c2_1(X95)) | (~c1_1(X95)) | (~ndr1_0))) & (hskp10 | ![X96: $i] : (c1_1(X96) | (~c3_1(X96)) | (~c2_1(X96)) | (~ndr1_0))) & (hskp15 | hskp16 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | c3_1(X97) | (~ndr1_0))) & (![X98: $i] : (c2_1(X98) | c3_1(X98) | (~c1_1(X98)) | (~ndr1_0)) | ![X99: $i] : (c2_1(X99) | (~c3_1(X99)) | (~c1_1(X99)) | (~ndr1_0)) | ![X100: $i] : ((~c0_1(X100)) | c3_1(X100) | (~c1_1(X100)) | (~ndr1_0))) & (hskp1 | hskp22 | ![X101: $i] : (c2_1(X101) | (~c0_1(X101)) | (~c1_1(X101)) | (~ndr1_0))) & (hskp16 | hskp24 | ![X102: $i] : (c2_1(X102) | (~c0_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp20 | ![X103: $i] : (c2_1(X103) | (~c3_1(X103)) | (~c1_1(X103)) | (~ndr1_0)) | ![X104: $i] : ((~c0_1(X104)) | (~c3_1(X104)) | (~c1_1(X104)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X105: $i] : (c2_1(X105) | (~c3_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp10 | ![X106: $i] : ((~c0_1(X106)) | c3_1(X106) | (~c2_1(X106)) | (~ndr1_0)) | ![X107: $i] : ((~c0_1(X107)) | (~c3_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp4 | hskp17 | ![X108: $i] : ((~c0_1(X108)) | c3_1(X108) | (~c2_1(X108)) | (~ndr1_0))) & (hskp0 | hskp12 | ![X109: $i] : ((~c0_1(X109)) | c3_1(X109) | (~c2_1(X109)) | (~ndr1_0))) & (hskp24 | hskp25 | ![X110: $i] : ((~c0_1(X110)) | c3_1(X110) | (~c2_1(X110)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X111: $i] : (c3_1(X111) | (~c2_1(X111)) | (~c1_1(X111)) | (~ndr1_0))) & (hskp1 | hskp4 | ![X112: $i] : ((~c0_1(X112)) | (~c2_1(X112)) | (~c1_1(X112)) | (~ndr1_0))) & (hskp3 | hskp8 | ![X113: $i] : ((~c0_1(X113)) | (~c2_1(X113)) | (~c1_1(X113)) | (~ndr1_0))) & (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X115: $i] : ((~c0_1(X115)) | (~c3_1(X115)) | (~c1_1(X115)) | (~ndr1_0))) & (hskp4 | hskp11 | ![X116: $i] : ((~c3_1(X116)) | (~c2_1(X116)) | (~c1_1(X116)) | (~ndr1_0))) & (hskp1 | hskp21 | hskp28) & (hskp5 | hskp8 | hskp23) & (hskp6 | hskp27 | hskp30) & (hskp15 | hskp16 | hskp19) & (hskp16 | hskp18 | hskp21))),
% 0.19/0.51 inference(transitivity,[status(thm)],[15, 13])).
% 0.19/0.51 tff(17,axiom,(~(~(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~hskp0) | (((ndr1_0 & (~c1_1(a1969))) & (~c2_1(a1969))) & (~c3_1(a1969)))) & ((~hskp1) | (((ndr1_0 & c0_1(a1971)) & c2_1(a1971)) & (~c1_1(a1971))))) & ((~hskp2) | (((ndr1_0 & c1_1(a1973)) & c3_1(a1973)) & (~c2_1(a1973))))) & ((~hskp3) | (((ndr1_0 & c1_1(a1974)) & c2_1(a1974)) & (~c0_1(a1974))))) & ((~hskp4) | (((ndr1_0 & c0_1(a1975)) & (~c1_1(a1975))) & (~c2_1(a1975))))) & ((~hskp5) | (((ndr1_0 & c1_1(a1977)) & (~c2_1(a1977))) & (~c3_1(a1977))))) & ((~hskp6) | (((ndr1_0 & c3_1(a1979)) & (~c0_1(a1979))) & (~c2_1(a1979))))) & ((~hskp7) | (((ndr1_0 & c0_1(a1981)) & c1_1(a1981)) & (~c3_1(a1981))))) & ((~hskp8) | (((ndr1_0 & c3_1(a1983)) & (~c0_1(a1983))) & (~c1_1(a1983))))) & ((~hskp9) | (((ndr1_0 & c1_1(a1985)) & (~c0_1(a1985))) & (~c3_1(a1985))))) & ((~hskp10) | (((ndr1_0 & c2_1(a1987)) & c3_1(a1987)) & (~c1_1(a1987))))) & ((~hskp11) | (((ndr1_0 & c2_1(a1989)) & (~c0_1(a1989))) & (~c3_1(a1989))))) & ((~hskp12) | (((ndr1_0 & c3_1(a1990)) & (~c1_1(a1990))) & (~c2_1(a1990))))) & ((~hskp13) | (((ndr1_0 & c0_1(a1991)) & c2_1(a1991)) & (~c3_1(a1991))))) & ((~hskp14) | (((ndr1_0 & c1_1(a1992)) & (~c0_1(a1992))) & (~c2_1(a1992))))) & ((~hskp15) | (((ndr1_0 & c2_1(a1993)) & (~c0_1(a1993))) & (~c1_1(a1993))))) & ((~hskp16) | (((ndr1_0 & c0_1(a1996)) & c3_1(a1996)) & (~c2_1(a1996))))) & ((~hskp17) | (((ndr1_0 & c1_1(a1998)) & c3_1(a1998)) & (~c0_1(a1998))))) & ((~hskp18) | (((ndr1_0 & (~c0_1(a2000))) & (~c1_1(a2000))) & (~c3_1(a2000))))) & ((~hskp19) | (((ndr1_0 & c2_1(a2001)) & c3_1(a2001)) & (~c0_1(a2001))))) & ((~hskp20) | (((ndr1_0 & c1_1(a2003)) & c2_1(a2003)) & (~c3_1(a2003))))) & ((~hskp21) | (((ndr1_0 & c2_1(a2009)) & (~c1_1(a2009))) & (~c3_1(a2009))))) & ((~hskp22) | (((ndr1_0 & c0_1(a2012)) & (~c2_1(a2012))) & (~c3_1(a2012))))) & ((~hskp23) | (((ndr1_0 & c0_1(a2014)) & c1_1(a2014)) & (~c2_1(a2014))))) & ((~hskp24) | (((ndr1_0 & (~c0_1(a2031))) & (~c1_1(a2031))) & (~c2_1(a2031))))) & ((~hskp25) | (((ndr1_0 & (~c0_1(a2041))) & (~c2_1(a2041))) & (~c3_1(a2041))))) & ((~hskp26) | (((ndr1_0 & c0_1(a2049)) & c3_1(a2049)) & (~c1_1(a2049))))) & ((~hskp27) | (((ndr1_0 & c1_1(a1970)) & c2_1(a1970)) & c3_1(a1970)))) & ((~hskp28) | (((ndr1_0 & c0_1(a1972)) & c1_1(a1972)) & c3_1(a1972)))) & ((~hskp29) | (((ndr1_0 & c0_1(a1978)) & c1_1(a1978)) & c2_1(a1978)))) & ((~hskp30) | (((ndr1_0 & c0_1(a2005)) & c2_1(a2005)) & c3_1(a2005)))) & ((![U: $i] : (ndr1_0 => ((c0_1(U) | c1_1(U)) | c2_1(U))) | ![V: $i] : (ndr1_0 => ((c1_1(V) | c2_1(V)) | (~c0_1(V))))) | hskp0)) & ((![W: $i] : (ndr1_0 => ((c0_1(W) | c1_1(W)) | c3_1(W))) | ![X: $i] : (ndr1_0 => ((c0_1(X) | c2_1(X)) | c3_1(X)))) | hskp27)) & ((![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))))) | ![X1: $i] : (ndr1_0 => (((~c0_1(X1)) | (~c1_1(X1))) | (~c2_1(X1)))))) & ((![X2: $i] : (ndr1_0 => ((c0_1(X2) | c1_1(X2)) | c3_1(X2))) | ![X3: $i] : (ndr1_0 => ((c0_1(X3) | c3_1(X3)) | (~c2_1(X3))))) | ![X4: $i] : (ndr1_0 => ((c3_1(X4) | (~c1_1(X4))) | (~c2_1(X4)))))) & ((![X5: $i] : (ndr1_0 => ((c0_1(X5) | c1_1(X5)) | c3_1(X5))) | ![X6: $i] : (ndr1_0 => ((c1_1(X6) | c2_1(X6)) | (~c3_1(X6))))) | ![X7: $i] : (ndr1_0 => ((c1_1(X7) | (~c0_1(X7))) | (~c2_1(X7)))))) & ((![X8: $i] : (ndr1_0 => ((c0_1(X8) | c1_1(X8)) | c3_1(X8))) | ![X9: $i] : (ndr1_0 => ((c2_1(X9) | (~c0_1(X9))) | (~c1_1(X9))))) | hskp1)) & ((![X10: $i] : (ndr1_0 => ((c0_1(X10) | c1_1(X10)) | c3_1(X10))) | ![X11: $i] : (ndr1_0 => (((~c1_1(X11)) | (~c2_1(X11))) | (~c3_1(X11))))) | hskp28)) & ((![X12: $i] : (ndr1_0 => ((c0_1(X12) | c1_1(X12)) | (~c2_1(X12)))) | ![X13: $i] : (ndr1_0 => ((c1_1(X13) | c2_1(X13)) | c3_1(X13)))) | hskp2)) & ((![X14: $i] : (ndr1_0 => ((c0_1(X14) | c1_1(X14)) | (~c2_1(X14)))) | ![X15: $i] : (ndr1_0 => ((c2_1(X15) | (~c0_1(X15))) | (~c1_1(X15))))) | hskp3)) & ((![X16: $i] : (ndr1_0 => ((c0_1(X16) | c1_1(X16)) | (~c2_1(X16)))) | hskp4) | hskp27)) & ((![X17: $i] : (ndr1_0 => ((c0_1(X17) | c1_1(X17)) | (~c3_1(X17)))) | ![X18: $i] : (ndr1_0 => ((c3_1(X18) | (~c0_1(X18))) | (~c2_1(X18))))) | hskp5)) & ((![X19: $i] : (ndr1_0 => ((c0_1(X19) | c1_1(X19)) | (~c3_1(X19)))) | hskp29) | hskp6)) & ((![X20: $i] : (ndr1_0 => ((c0_1(X20) | c2_1(X20)) | c3_1(X20))) | ![X21: $i] : (ndr1_0 => ((c2_1(X21) | (~c0_1(X21))) | (~c3_1(X21))))) | hskp1)) & (![X22: $i] : (ndr1_0 => ((c0_1(X22) | c2_1(X22)) | c3_1(X22))) | ![X23: $i] : (ndr1_0 => (((~c1_1(X23)) | (~c2_1(X23))) | (~c3_1(X23)))))) & ((![X24: $i] : (ndr1_0 => ((c0_1(X24) | c2_1(X24)) | (~c1_1(X24)))) | ![X25: $i] : (ndr1_0 => ((c0_1(X25) | (~c1_1(X25))) | (~c2_1(X25))))) | hskp7)) & ((![X26: $i] : (ndr1_0 => ((c0_1(X26) | c2_1(X26)) | (~c1_1(X26)))) | hskp28) | hskp8)) & ((![X27: $i] : (ndr1_0 => ((c0_1(X27) | c2_1(X27)) | (~c3_1(X27)))) | ![X28: $i] : (ndr1_0 => ((c0_1(X28) | c3_1(X28)) | (~c1_1(X28))))) | ![X29: $i] : (ndr1_0 => ((c2_1(X29) | (~c1_1(X29))) | (~c3_1(X29)))))) & ((![X30: $i] : (ndr1_0 => ((c0_1(X30) | c2_1(X30)) | (~c3_1(X30)))) | ![X31: $i] : (ndr1_0 => ((c0_1(X31) | (~c1_1(X31))) | (~c3_1(X31))))) | hskp29)) & ((![X32: $i] : (ndr1_0 => ((c0_1(X32) | c2_1(X32)) | (~c3_1(X32)))) | ![X33: $i] : (ndr1_0 => ((c0_1(X33) | (~c2_1(X33))) | (~c3_1(X33))))) | hskp9)) & ((![X34: $i] : (ndr1_0 => ((c0_1(X34) | c2_1(X34)) | (~c3_1(X34)))) | ![X35: $i] : (ndr1_0 => ((c1_1(X35) | c2_1(X35)) | (~c0_1(X35))))) | ![X36: $i] : (ndr1_0 => ((c2_1(X36) | (~c0_1(X36))) | (~c1_1(X36)))))) & ((![X37: $i] : (ndr1_0 => ((c0_1(X37) | c2_1(X37)) | (~c3_1(X37)))) | ![X38: $i] : (ndr1_0 => ((c1_1(X38) | c2_1(X38)) | (~c3_1(X38))))) | ![X39: $i] : (ndr1_0 => ((c2_1(X39) | c3_1(X39)) | (~c1_1(X39)))))) & ((![X40: $i] : (ndr1_0 => ((c0_1(X40) | c2_1(X40)) | (~c3_1(X40)))) | ![X41: $i] : (ndr1_0 => ((c1_1(X41) | c3_1(X41)) | (~c2_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) | (~c0_1(X44))) | (~c2_1(X44))))) | hskp8)) & ((![X45: $i] : (ndr1_0 => ((c0_1(X45) | c2_1(X45)) | (~c3_1(X45)))) | ![X46: $i] : (ndr1_0 => ((c2_1(X46) | (~c0_1(X46))) | (~c1_1(X46))))) | hskp10)) & ((![X47: $i] : (ndr1_0 => ((c0_1(X47) | c2_1(X47)) | (~c3_1(X47)))) | hskp9) | hskp11)) & ((![X48: $i] : (ndr1_0 => ((c0_1(X48) | c3_1(X48)) | (~c1_1(X48)))) | ![X49: $i] : (ndr1_0 => ((c0_1(X49) | (~c1_1(X49))) | (~c3_1(X49))))) | hskp12)) & ((![X50: $i] : (ndr1_0 => ((c0_1(X50) | c3_1(X50)) | (~c1_1(X50)))) | ![X51: $i] : (ndr1_0 => ((c2_1(X51) | (~c0_1(X51))) | (~c1_1(X51))))) | ![X52: $i] : (ndr1_0 => (((~c0_1(X52)) | (~c1_1(X52))) | (~c2_1(X52)))))) & ((![X53: $i] : (ndr1_0 => ((c0_1(X53) | c3_1(X53)) | (~c2_1(X53)))) | ![X54: $i] : (ndr1_0 => ((c0_1(X54) | (~c1_1(X54))) | (~c3_1(X54))))) | hskp13)) & ((![X55: $i] : (ndr1_0 => ((c0_1(X55) | c3_1(X55)) | (~c2_1(X55)))) | ![X56: $i] : (ndr1_0 => ((c1_1(X56) | (~c0_1(X56))) | (~c3_1(X56))))) | hskp14)) & ((![X57: $i] : (ndr1_0 => ((c0_1(X57) | c3_1(X57)) | (~c2_1(X57)))) | ![X58: $i] : (ndr1_0 => ((c2_1(X58) | c3_1(X58)) | (~c1_1(X58))))) | hskp15)) & ((![X59: $i] : (ndr1_0 => ((c0_1(X59) | (~c1_1(X59))) | (~c2_1(X59)))) | ![X60: $i] : (ndr1_0 => ((c0_1(X60) | (~c1_1(X60))) | (~c3_1(X60))))) | hskp3)) & ((![X61: $i] : (ndr1_0 => ((c0_1(X61) | (~c1_1(X61))) | (~c2_1(X61)))) | ![X62: $i] : (ndr1_0 => ((c3_1(X62) | (~c0_1(X62))) | (~c1_1(X62))))) | hskp10)) & ((![X63: $i] : (ndr1_0 => ((c0_1(X63) | (~c1_1(X63))) | (~c3_1(X63)))) | ![X64: $i] : (ndr1_0 => (((~c0_1(X64)) | (~c1_1(X64))) | (~c3_1(X64))))) | hskp16)) & ((![X65: $i] : (ndr1_0 => ((c0_1(X65) | (~c1_1(X65))) | (~c3_1(X65)))) | hskp13) | hskp17)) & ((![X66: $i] : (ndr1_0 => ((c0_1(X66) | (~c1_1(X66))) | (~c3_1(X66)))) | hskp4) | hskp18)) & ((![X67: $i] : (ndr1_0 => ((c0_1(X67) | (~c2_1(X67))) | (~c3_1(X67)))) | ![X68: $i] : (ndr1_0 => ((c1_1(X68) | (~c0_1(X68))) | (~c3_1(X68))))) | hskp19)) & (![X69: $i] : (ndr1_0 => ((c0_1(X69) | (~c2_1(X69))) | (~c3_1(X69)))) | ![X70: $i] : (ndr1_0 => ((c2_1(X70) | (~c0_1(X70))) | (~c1_1(X70)))))) & ((![X71: $i] : (ndr1_0 => ((c0_1(X71) | (~c2_1(X71))) | (~c3_1(X71)))) | hskp13) | hskp20)) & ((![X72: $i] : (ndr1_0 => ((c1_1(X72) | c2_1(X72)) | c3_1(X72))) | ![X73: $i] : (ndr1_0 => ((c1_1(X73) | c3_1(X73)) | (~c2_1(X73))))) | ![X74: $i] : (ndr1_0 => ((c2_1(X74) | (~c0_1(X74))) | (~c1_1(X74)))))) & ((![X75: $i] : (ndr1_0 => ((c1_1(X75) | c2_1(X75)) | c3_1(X75))) | ![X76: $i] : (ndr1_0 => ((c2_1(X76) | (~c0_1(X76))) | (~c1_1(X76))))) | hskp12)) & ((![X77: $i] : (ndr1_0 => ((c1_1(X77) | c2_1(X77)) | (~c0_1(X77)))) | ![X78: $i] : (ndr1_0 => ((c1_1(X78) | (~c0_1(X78))) | (~c2_1(X78))))) | ![X79: $i] : (ndr1_0 => ((c1_1(X79) | (~c2_1(X79))) | (~c3_1(X79)))))) & ((![X80: $i] : (ndr1_0 => ((c1_1(X80) | c2_1(X80)) | (~c0_1(X80)))) | ![X81: $i] : (ndr1_0 => ((c1_1(X81) | (~c2_1(X81))) | (~c3_1(X81))))) | ![X82: $i] : (ndr1_0 => ((c2_1(X82) | (~c1_1(X82))) | (~c3_1(X82)))))) & ((![X83: $i] : (ndr1_0 => ((c1_1(X83) | c2_1(X83)) | (~c0_1(X83)))) | hskp30) | hskp5)) & ((![X84: $i] : (ndr1_0 => ((c1_1(X84) | c2_1(X84)) | (~c0_1(X84)))) | hskp4) | hskp10)) & ((![X85: $i] : (ndr1_0 => ((c1_1(X85) | c2_1(X85)) | (~c3_1(X85)))) | ![X86: $i] : (ndr1_0 => ((c2_1(X86) | c3_1(X86)) | (~c1_1(X86))))) | hskp21)) & ((![X87: $i] : (ndr1_0 => ((c1_1(X87) | c2_1(X87)) | (~c3_1(X87)))) | hskp1) | hskp10)) & ((![X88: $i] : (ndr1_0 => ((c1_1(X88) | c2_1(X88)) | (~c3_1(X88)))) | hskp22) | hskp2)) & ((![X89: $i] : (ndr1_0 => ((c1_1(X89) | c3_1(X89)) | (~c2_1(X89)))) | hskp23) | hskp6)) & ((![X90: $i] : (ndr1_0 => ((c1_1(X90) | c3_1(X90)) | (~c2_1(X90)))) | hskp3) | hskp17)) & ((![X91: $i] : (ndr1_0 => ((c1_1(X91) | (~c0_1(X91))) | (~c2_1(X91)))) | hskp10) | hskp11)) & ((![X92: $i] : (ndr1_0 => ((c1_1(X92) | (~c0_1(X92))) | (~c3_1(X92)))) | hskp30) | hskp15)) & ((![X93: $i] : (ndr1_0 => ((c1_1(X93) | (~c0_1(X93))) | (~c3_1(X93)))) | hskp6) | hskp18)) & ((![X94: $i] : (ndr1_0 => ((c1_1(X94) | (~c2_1(X94))) | (~c3_1(X94)))) | ![X95: $i] : (ndr1_0 => (((~c1_1(X95)) | (~c2_1(X95))) | (~c3_1(X95))))) | hskp27)) & (![X96: $i] : (ndr1_0 => ((c1_1(X96) | (~c2_1(X96))) | (~c3_1(X96)))) | hskp10)) & ((![X97: $i] : (ndr1_0 => ((c2_1(X97) | c3_1(X97)) | (~c0_1(X97)))) | hskp16) | hskp15)) & ((![X98: $i] : (ndr1_0 => ((c2_1(X98) | c3_1(X98)) | (~c1_1(X98)))) | ![X99: $i] : (ndr1_0 => ((c2_1(X99) | (~c1_1(X99))) | (~c3_1(X99))))) | ![X100: $i] : (ndr1_0 => ((c3_1(X100) | (~c0_1(X100))) | (~c1_1(X100)))))) & ((![X101: $i] : (ndr1_0 => ((c2_1(X101) | (~c0_1(X101))) | (~c1_1(X101)))) | hskp1) | hskp22)) & ((![X102: $i] : (ndr1_0 => ((c2_1(X102) | (~c0_1(X102))) | (~c1_1(X102)))) | hskp16) | hskp24)) & ((![X103: $i] : (ndr1_0 => ((c2_1(X103) | (~c1_1(X103))) | (~c3_1(X103)))) | ![X104: $i] : (ndr1_0 => (((~c0_1(X104)) | (~c1_1(X104))) | (~c3_1(X104))))) | hskp20)) & ((![X105: $i] : (ndr1_0 => ((c2_1(X105) | (~c1_1(X105))) | (~c3_1(X105)))) | hskp11) | hskp12)) & ((![X106: $i] : (ndr1_0 => ((c3_1(X106) | (~c0_1(X106))) | (~c2_1(X106)))) | ![X107: $i] : (ndr1_0 => (((~c0_1(X107)) | (~c1_1(X107))) | (~c3_1(X107))))) | hskp10)) & ((![X108: $i] : (ndr1_0 => ((c3_1(X108) | (~c0_1(X108))) | (~c2_1(X108)))) | hskp4) | hskp17)) & ((![X109: $i] : (ndr1_0 => ((c3_1(X109) | (~c0_1(X109))) | (~c2_1(X109)))) | hskp12) | hskp0)) & ((![X110: $i] : (ndr1_0 => ((c3_1(X110) | (~c0_1(X110))) | (~c2_1(X110)))) | hskp24) | hskp25)) & ((![X111: $i] : (ndr1_0 => ((c3_1(X111) | (~c1_1(X111))) | (~c2_1(X111)))) | hskp14) | hskp10)) & ((![X112: $i] : (ndr1_0 => (((~c0_1(X112)) | (~c1_1(X112))) | (~c2_1(X112)))) | hskp1) | hskp4)) & ((![X113: $i] : (ndr1_0 => (((~c0_1(X113)) | (~c1_1(X113))) | (~c2_1(X113)))) | hskp3) | hskp8)) & (![X114: $i] : (ndr1_0 => (((~c0_1(X114)) | (~c1_1(X114))) | (~c2_1(X114)))) | hskp17)) & ((![X115: $i] : (ndr1_0 => (((~c0_1(X115)) | (~c1_1(X115))) | (~c3_1(X115)))) | hskp26) | hskp25)) & ((![X116: $i] : (ndr1_0 => (((~c1_1(X116)) | (~c2_1(X116))) | (~c3_1(X116)))) | hskp4) | hskp11)) & ((hskp28 | hskp1) | hskp21)) & ((hskp23 | hskp5) | hskp8)) & ((hskp30 | hskp27) | hskp6)) & ((hskp16 | hskp19) | hskp15)) & ((hskp16 | hskp21) | hskp18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 0.19/0.52 tff(18,plain,
% 0.19/0.52 (((~hskp0) | (ndr1_0 & (~c1_1(a1969)) & (~c2_1(a1969)) & (~c3_1(a1969)))) & ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) & ((~hskp2) | (ndr1_0 & c1_1(a1973) & c3_1(a1973) & (~c2_1(a1973)))) & ((~hskp3) | (ndr1_0 & c1_1(a1974) & c2_1(a1974) & (~c0_1(a1974)))) & ((~hskp4) | (ndr1_0 & c0_1(a1975) & (~c1_1(a1975)) & (~c2_1(a1975)))) & ((~hskp5) | (ndr1_0 & c1_1(a1977) & (~c2_1(a1977)) & (~c3_1(a1977)))) & ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) & ((~hskp7) | (ndr1_0 & c0_1(a1981) & c1_1(a1981) & (~c3_1(a1981)))) & ((~hskp8) | (ndr1_0 & c3_1(a1983) & (~c0_1(a1983)) & (~c1_1(a1983)))) & ((~hskp9) | (ndr1_0 & c1_1(a1985) & (~c0_1(a1985)) & (~c3_1(a1985)))) & ((~hskp10) | (ndr1_0 & c2_1(a1987) & c3_1(a1987) & (~c1_1(a1987)))) & ((~hskp11) | (ndr1_0 & c2_1(a1989) & (~c0_1(a1989)) & (~c3_1(a1989)))) & ((~hskp12) | (ndr1_0 & c3_1(a1990) & (~c1_1(a1990)) & (~c2_1(a1990)))) & ((~hskp13) | (ndr1_0 & c0_1(a1991) & c2_1(a1991) & (~c3_1(a1991)))) & ((~hskp14) | (ndr1_0 & c1_1(a1992) & (~c0_1(a1992)) & (~c2_1(a1992)))) & ((~hskp15) | (ndr1_0 & c2_1(a1993) & (~c0_1(a1993)) & (~c1_1(a1993)))) & ((~hskp16) | (ndr1_0 & c0_1(a1996) & c3_1(a1996) & (~c2_1(a1996)))) & ((~hskp17) | (ndr1_0 & c1_1(a1998) & c3_1(a1998) & (~c0_1(a1998)))) & ((~hskp18) | (ndr1_0 & (~c0_1(a2000)) & (~c1_1(a2000)) & (~c3_1(a2000)))) & ((~hskp19) | (ndr1_0 & c2_1(a2001) & c3_1(a2001) & (~c0_1(a2001)))) & ((~hskp20) | (ndr1_0 & c1_1(a2003) & c2_1(a2003) & (~c3_1(a2003)))) & ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))) & ((~hskp22) | (ndr1_0 & c0_1(a2012) & (~c2_1(a2012)) & (~c3_1(a2012)))) & ((~hskp23) | (ndr1_0 & c0_1(a2014) & c1_1(a2014) & (~c2_1(a2014)))) & ((~hskp24) | (ndr1_0 & (~c0_1(a2031)) & (~c1_1(a2031)) & (~c2_1(a2031)))) & ((~hskp25) | (ndr1_0 & (~c0_1(a2041)) & (~c2_1(a2041)) & (~c3_1(a2041)))) & ((~hskp26) | (ndr1_0 & c0_1(a2049) & c3_1(a2049) & (~c1_1(a2049)))) & ((~hskp27) | (ndr1_0 & c1_1(a1970) & c2_1(a1970) & c3_1(a1970))) & ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) & ((~hskp29) | (ndr1_0 & c0_1(a1978) & c1_1(a1978) & c2_1(a1978))) & ((~hskp30) | (ndr1_0 & c0_1(a2005) & c2_1(a2005) & c3_1(a2005))) & (hskp0 | ![U: $i] : (c2_1(U) | c1_1(U) | c0_1(U) | (~ndr1_0)) | ![V: $i] : (c2_1(V) | c1_1(V) | (~c0_1(V)) | (~ndr1_0))) & (hskp27 | ![W: $i] : (c1_1(W) | c0_1(W) | c3_1(W) | (~ndr1_0)) | ![X: $i] : (c2_1(X) | c0_1(X) | c3_1(X) | (~ndr1_0))) & (![Y: $i] : (c1_1(Y) | c0_1(Y) | c3_1(Y) | (~ndr1_0)) | ![Z: $i] : (c2_1(Z) | c0_1(Z) | (~c3_1(Z)) | (~ndr1_0)) | ![X1: $i] : ((~c0_1(X1)) | (~c2_1(X1)) | (~c1_1(X1)) | (~ndr1_0))) & (![X2: $i] : (c1_1(X2) | c0_1(X2) | c3_1(X2) | (~ndr1_0)) | ![X3: $i] : (c0_1(X3) | c3_1(X3) | (~c2_1(X3)) | (~ndr1_0)) | ![X4: $i] : (c3_1(X4) | (~c2_1(X4)) | (~c1_1(X4)) | (~ndr1_0))) & (![X5: $i] : (c1_1(X5) | c0_1(X5) | c3_1(X5) | (~ndr1_0)) | ![X6: $i] : (c2_1(X6) | c1_1(X6) | (~c3_1(X6)) | (~ndr1_0)) | ![X7: $i] : (c1_1(X7) | (~c0_1(X7)) | (~c2_1(X7)) | (~ndr1_0))) & (hskp1 | ![X8: $i] : (c1_1(X8) | c0_1(X8) | c3_1(X8) | (~ndr1_0)) | ![X9: $i] : (c2_1(X9) | (~c0_1(X9)) | (~c1_1(X9)) | (~ndr1_0))) & (hskp28 | ![X10: $i] : (c1_1(X10) | c0_1(X10) | c3_1(X10) | (~ndr1_0)) | ![X11: $i] : ((~c3_1(X11)) | (~c2_1(X11)) | (~c1_1(X11)) | (~ndr1_0))) & (hskp2 | ![X12: $i] : (c1_1(X12) | c0_1(X12) | (~c2_1(X12)) | (~ndr1_0)) | ![X13: $i] : (c2_1(X13) | c1_1(X13) | c3_1(X13) | (~ndr1_0))) & (hskp3 | ![X14: $i] : (c1_1(X14) | c0_1(X14) | (~c2_1(X14)) | (~ndr1_0)) | ![X15: $i] : (c2_1(X15) | (~c0_1(X15)) | (~c1_1(X15)) | (~ndr1_0))) & (hskp4 | hskp27 | ![X16: $i] : (c1_1(X16) | c0_1(X16) | (~c2_1(X16)) | (~ndr1_0))) & (hskp5 | ![X17: $i] : (c1_1(X17) | c0_1(X17) | (~c3_1(X17)) | (~ndr1_0)) | ![X18: $i] : ((~c0_1(X18)) | c3_1(X18) | (~c2_1(X18)) | (~ndr1_0))) & (hskp6 | hskp29 | ![X19: $i] : (c1_1(X19) | c0_1(X19) | (~c3_1(X19)) | (~ndr1_0))) & (hskp1 | ![X20: $i] : (c2_1(X20) | c0_1(X20) | c3_1(X20) | (~ndr1_0)) | ![X21: $i] : (c2_1(X21) | (~c0_1(X21)) | (~c3_1(X21)) | (~ndr1_0))) & (![X22: $i] : (c2_1(X22) | c0_1(X22) | c3_1(X22) | (~ndr1_0)) | ![X23: $i] : ((~c3_1(X23)) | (~c2_1(X23)) | (~c1_1(X23)) | (~ndr1_0))) & (hskp7 | ![X24: $i] : (c2_1(X24) | c0_1(X24) | (~c1_1(X24)) | (~ndr1_0)) | ![X25: $i] : (c0_1(X25) | (~c2_1(X25)) | (~c1_1(X25)) | (~ndr1_0))) & (hskp8 | hskp28 | ![X26: $i] : (c2_1(X26) | c0_1(X26) | (~c1_1(X26)) | (~ndr1_0))) & (![X27: $i] : (c2_1(X27) | c0_1(X27) | (~c3_1(X27)) | (~ndr1_0)) | ![X28: $i] : (c0_1(X28) | c3_1(X28) | (~c1_1(X28)) | (~ndr1_0)) | ![X29: $i] : (c2_1(X29) | (~c3_1(X29)) | (~c1_1(X29)) | (~ndr1_0))) & (hskp29 | ![X30: $i] : (c2_1(X30) | c0_1(X30) | (~c3_1(X30)) | (~ndr1_0)) | ![X31: $i] : (c0_1(X31) | (~c3_1(X31)) | (~c1_1(X31)) | (~ndr1_0))) & (hskp9 | ![X32: $i] : (c2_1(X32) | c0_1(X32) | (~c3_1(X32)) | (~ndr1_0)) | ![X33: $i] : (c0_1(X33) | (~c3_1(X33)) | (~c2_1(X33)) | (~ndr1_0))) & (![X34: $i] : (c2_1(X34) | c0_1(X34) | (~c3_1(X34)) | (~ndr1_0)) | ![X35: $i] : (c2_1(X35) | c1_1(X35) | (~c0_1(X35)) | (~ndr1_0)) | ![X36: $i] : (c2_1(X36) | (~c0_1(X36)) | (~c1_1(X36)) | (~ndr1_0))) & (![X37: $i] : (c2_1(X37) | c0_1(X37) | (~c3_1(X37)) | (~ndr1_0)) | ![X38: $i] : (c2_1(X38) | c1_1(X38) | (~c3_1(X38)) | (~ndr1_0)) | ![X39: $i] : (c2_1(X39) | c3_1(X39) | (~c1_1(X39)) | (~ndr1_0))) & (![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)) | ![X42: $i] : (c2_1(X42) | (~c0_1(X42)) | (~c1_1(X42)) | (~ndr1_0)) | ![X41: $i] : (c1_1(X41) | c3_1(X41) | (~c2_1(X41)) | (~ndr1_0))) & (hskp8 | ![X43: $i] : (c2_1(X43) | c0_1(X43) | (~c3_1(X43)) | (~ndr1_0)) | ![X44: $i] : (c1_1(X44) | (~c0_1(X44)) | (~c2_1(X44)) | (~ndr1_0))) & (hskp10 | ![X45: $i] : (c2_1(X45) | c0_1(X45) | (~c3_1(X45)) | (~ndr1_0)) | ![X46: $i] : (c2_1(X46) | (~c0_1(X46)) | (~c1_1(X46)) | (~ndr1_0))) & (hskp9 | hskp11 | ![X47: $i] : (c2_1(X47) | c0_1(X47) | (~c3_1(X47)) | (~ndr1_0))) & (hskp12 | ![X48: $i] : (c0_1(X48) | c3_1(X48) | (~c1_1(X48)) | (~ndr1_0)) | ![X49: $i] : (c0_1(X49) | (~c3_1(X49)) | (~c1_1(X49)) | (~ndr1_0))) & (![X50: $i] : (c0_1(X50) | c3_1(X50) | (~c1_1(X50)) | (~ndr1_0)) | ![X51: $i] : (c2_1(X51) | (~c0_1(X51)) | (~c1_1(X51)) | (~ndr1_0)) | ![X52: $i] : ((~c0_1(X52)) | (~c2_1(X52)) | (~c1_1(X52)) | (~ndr1_0))) & (hskp13 | ![X53: $i] : (c0_1(X53) | c3_1(X53) | (~c2_1(X53)) | (~ndr1_0)) | ![X54: $i] : (c0_1(X54) | (~c3_1(X54)) | (~c1_1(X54)) | (~ndr1_0))) & (hskp14 | ![X55: $i] : (c0_1(X55) | c3_1(X55) | (~c2_1(X55)) | (~ndr1_0)) | ![X56: $i] : (c1_1(X56) | (~c0_1(X56)) | (~c3_1(X56)) | (~ndr1_0))) & (hskp15 | ![X57: $i] : (c0_1(X57) | c3_1(X57) | (~c2_1(X57)) | (~ndr1_0)) | ![X58: $i] : (c2_1(X58) | c3_1(X58) | (~c1_1(X58)) | (~ndr1_0))) & (hskp3 | ![X59: $i] : (c0_1(X59) | (~c2_1(X59)) | (~c1_1(X59)) | (~ndr1_0)) | ![X60: $i] : (c0_1(X60) | (~c3_1(X60)) | (~c1_1(X60)) | (~ndr1_0))) & (hskp10 | ![X61: $i] : (c0_1(X61) | (~c2_1(X61)) | (~c1_1(X61)) | (~ndr1_0)) | ![X62: $i] : ((~c0_1(X62)) | c3_1(X62) | (~c1_1(X62)) | (~ndr1_0))) & (hskp16 | ![X63: $i] : (c0_1(X63) | (~c3_1(X63)) | (~c1_1(X63)) | (~ndr1_0)) | ![X64: $i] : ((~c0_1(X64)) | (~c3_1(X64)) | (~c1_1(X64)) | (~ndr1_0))) & (hskp13 | hskp17 | ![X65: $i] : (c0_1(X65) | (~c3_1(X65)) | (~c1_1(X65)) | (~ndr1_0))) & (hskp4 | hskp18 | ![X66: $i] : (c0_1(X66) | (~c3_1(X66)) | (~c1_1(X66)) | (~ndr1_0))) & (hskp19 | ![X67: $i] : (c0_1(X67) | (~c3_1(X67)) | (~c2_1(X67)) | (~ndr1_0)) | ![X68: $i] : (c1_1(X68) | (~c0_1(X68)) | (~c3_1(X68)) | (~ndr1_0))) & (![X69: $i] : (c0_1(X69) | (~c3_1(X69)) | (~c2_1(X69)) | (~ndr1_0)) | ![X70: $i] : (c2_1(X70) | (~c0_1(X70)) | (~c1_1(X70)) | (~ndr1_0))) & (hskp13 | hskp20 | ![X71: $i] : (c0_1(X71) | (~c3_1(X71)) | (~c2_1(X71)) | (~ndr1_0))) & (![X72: $i] : (c2_1(X72) | c1_1(X72) | c3_1(X72) | (~ndr1_0)) | ![X74: $i] : (c2_1(X74) | (~c0_1(X74)) | (~c1_1(X74)) | (~ndr1_0)) | ![X73: $i] : (c1_1(X73) | c3_1(X73) | (~c2_1(X73)) | (~ndr1_0))) & (hskp12 | ![X75: $i] : (c2_1(X75) | c1_1(X75) | c3_1(X75) | (~ndr1_0)) | ![X76: $i] : (c2_1(X76) | (~c0_1(X76)) | (~c1_1(X76)) | (~ndr1_0))) & (![X79: $i] : (c1_1(X79) | (~c3_1(X79)) | (~c2_1(X79)) | (~ndr1_0)) | ![X77: $i] : (c2_1(X77) | c1_1(X77) | (~c0_1(X77)) | (~ndr1_0)) | ![X78: $i] : (c1_1(X78) | (~c0_1(X78)) | (~c2_1(X78)) | (~ndr1_0))) & (![X80: $i] : (c2_1(X80) | c1_1(X80) | (~c0_1(X80)) | (~ndr1_0)) | ![X81: $i] : (c1_1(X81) | (~c3_1(X81)) | (~c2_1(X81)) | (~ndr1_0)) | ![X82: $i] : (c2_1(X82) | (~c3_1(X82)) | (~c1_1(X82)) | (~ndr1_0))) & (hskp5 | hskp30 | ![X83: $i] : (c2_1(X83) | c1_1(X83) | (~c0_1(X83)) | (~ndr1_0))) & (hskp4 | hskp10 | ![X84: $i] : (c2_1(X84) | c1_1(X84) | (~c0_1(X84)) | (~ndr1_0))) & (hskp21 | ![X85: $i] : (c2_1(X85) | c1_1(X85) | (~c3_1(X85)) | (~ndr1_0)) | ![X86: $i] : (c2_1(X86) | c3_1(X86) | (~c1_1(X86)) | (~ndr1_0))) & (hskp1 | hskp10 | ![X87: $i] : (c2_1(X87) | c1_1(X87) | (~c3_1(X87)) | (~ndr1_0))) & (hskp2 | hskp22 | ![X88: $i] : (c2_1(X88) | c1_1(X88) | (~c3_1(X88)) | (~ndr1_0))) & (hskp6 | hskp23 | ![X89: $i] : (c1_1(X89) | c3_1(X89) | (~c2_1(X89)) | (~ndr1_0))) & (hskp3 | hskp17 | ![X90: $i] : (c1_1(X90) | c3_1(X90) | (~c2_1(X90)) | (~ndr1_0))) & (hskp10 | hskp11 | ![X91: $i] : (c1_1(X91) | (~c0_1(X91)) | (~c2_1(X91)) | (~ndr1_0))) & (hskp15 | hskp30 | ![X92: $i] : (c1_1(X92) | (~c0_1(X92)) | (~c3_1(X92)) | (~ndr1_0))) & (hskp6 | hskp18 | ![X93: $i] : (c1_1(X93) | (~c0_1(X93)) | (~c3_1(X93)) | (~ndr1_0))) & (hskp27 | ![X94: $i] : (c1_1(X94) | (~c3_1(X94)) | (~c2_1(X94)) | (~ndr1_0)) | ![X95: $i] : ((~c3_1(X95)) | (~c2_1(X95)) | (~c1_1(X95)) | (~ndr1_0))) & (hskp10 | ![X96: $i] : (c1_1(X96) | (~c3_1(X96)) | (~c2_1(X96)) | (~ndr1_0))) & (hskp15 | hskp16 | ![X97: $i] : (c2_1(X97) | (~c0_1(X97)) | c3_1(X97) | (~ndr1_0))) & (![X98: $i] : (c2_1(X98) | c3_1(X98) | (~c1_1(X98)) | (~ndr1_0)) | ![X99: $i] : (c2_1(X99) | (~c3_1(X99)) | (~c1_1(X99)) | (~ndr1_0)) | ![X100: $i] : ((~c0_1(X100)) | c3_1(X100) | (~c1_1(X100)) | (~ndr1_0))) & (hskp1 | hskp22 | ![X101: $i] : (c2_1(X101) | (~c0_1(X101)) | (~c1_1(X101)) | (~ndr1_0))) & (hskp16 | hskp24 | ![X102: $i] : (c2_1(X102) | (~c0_1(X102)) | (~c1_1(X102)) | (~ndr1_0))) & (hskp20 | ![X103: $i] : (c2_1(X103) | (~c3_1(X103)) | (~c1_1(X103)) | (~ndr1_0)) | ![X104: $i] : ((~c0_1(X104)) | (~c3_1(X104)) | (~c1_1(X104)) | (~ndr1_0))) & (hskp11 | hskp12 | ![X105: $i] : (c2_1(X105) | (~c3_1(X105)) | (~c1_1(X105)) | (~ndr1_0))) & (hskp10 | ![X106: $i] : ((~c0_1(X106)) | c3_1(X106) | (~c2_1(X106)) | (~ndr1_0)) | ![X107: $i] : ((~c0_1(X107)) | (~c3_1(X107)) | (~c1_1(X107)) | (~ndr1_0))) & (hskp4 | hskp17 | ![X108: $i] : ((~c0_1(X108)) | c3_1(X108) | (~c2_1(X108)) | (~ndr1_0))) & (hskp0 | hskp12 | ![X109: $i] : ((~c0_1(X109)) | c3_1(X109) | (~c2_1(X109)) | (~ndr1_0))) & (hskp24 | hskp25 | ![X110: $i] : ((~c0_1(X110)) | c3_1(X110) | (~c2_1(X110)) | (~ndr1_0))) & (hskp10 | hskp14 | ![X111: $i] : (c3_1(X111) | (~c2_1(X111)) | (~c1_1(X111)) | (~ndr1_0))) & (hskp1 | hskp4 | ![X112: $i] : ((~c0_1(X112)) | (~c2_1(X112)) | (~c1_1(X112)) | (~ndr1_0))) & (hskp3 | hskp8 | ![X113: $i] : ((~c0_1(X113)) | (~c2_1(X113)) | (~c1_1(X113)) | (~ndr1_0))) & (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) & (hskp25 | hskp26 | ![X115: $i] : ((~c0_1(X115)) | (~c3_1(X115)) | (~c1_1(X115)) | (~ndr1_0))) & (hskp4 | hskp11 | ![X116: $i] : ((~c3_1(X116)) | (~c2_1(X116)) | (~c1_1(X116)) | (~ndr1_0))) & (hskp1 | hskp21 | hskp28) & (hskp5 | hskp8 | hskp23) & (hskp6 | hskp27 | hskp30) & (hskp15 | hskp16 | hskp19) & (hskp16 | hskp18 | hskp21)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.52 tff(19,plain,
% 0.19/0.52 ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))),
% 0.19/0.52 inference(and_elim,[status(thm)],[18])).
% 0.19/0.52 tff(20,plain,
% 0.19/0.52 ((~hskp21) | (ndr1_0 & c2_1(a2009) & (~c1_1(a2009)) & (~c3_1(a2009)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.19/0.52 tff(21,plain,
% 0.19/0.52 ((~hskp21) | (~(c1_1(a2009) | c3_1(a2009) | (~ndr1_0) | (~c2_1(a2009))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[20, 11])).
% 0.19/0.52 tff(22,plain,
% 0.19/0.52 (~hskp21),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[21, 10])).
% 0.19/0.52 tff(23,plain,
% 0.19/0.52 ((c1_1(a1971) | (~ndr1_0) | (~c0_1(a1971)) | (~c2_1(a1971))) | ndr1_0),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(24,plain,
% 0.19/0.52 (c1_1(a1971) | (~ndr1_0) | (~c0_1(a1971)) | (~c2_1(a1971))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[23, 8])).
% 0.19/0.52 tff(25,plain,
% 0.19/0.52 (((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) <=> ((~hskp1) | (~(c1_1(a1971) | (~ndr1_0) | (~c0_1(a1971)) | (~c2_1(a1971)))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(26,plain,
% 0.19/0.52 (((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))) <=> ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(27,plain,
% 0.19/0.52 ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))),
% 0.19/0.52 inference(and_elim,[status(thm)],[18])).
% 0.19/0.52 tff(28,plain,
% 0.19/0.52 ((~hskp1) | (ndr1_0 & c0_1(a1971) & c2_1(a1971) & (~c1_1(a1971)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.52 tff(29,plain,
% 0.19/0.52 ((~hskp1) | (~(c1_1(a1971) | (~ndr1_0) | (~c0_1(a1971)) | (~c2_1(a1971))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[28, 25])).
% 0.19/0.52 tff(30,plain,
% 0.19/0.52 (~hskp1),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[29, 24])).
% 0.19/0.52 tff(31,plain,
% 0.19/0.52 (((~ndr1_0) | (~c0_1(a1972)) | (~c1_1(a1972)) | (~c3_1(a1972))) | ndr1_0),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(32,plain,
% 0.19/0.52 ((~ndr1_0) | (~c0_1(a1972)) | (~c1_1(a1972)) | (~c3_1(a1972))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[31, 8])).
% 0.19/0.52 tff(33,plain,
% 0.19/0.52 (((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) <=> ((~hskp28) | (~((~ndr1_0) | (~c0_1(a1972)) | (~c1_1(a1972)) | (~c3_1(a1972)))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(34,plain,
% 0.19/0.52 (((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))) <=> ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(35,plain,
% 0.19/0.52 ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))),
% 0.19/0.52 inference(and_elim,[status(thm)],[18])).
% 0.19/0.52 tff(36,plain,
% 0.19/0.52 ((~hskp28) | (ndr1_0 & c0_1(a1972) & c1_1(a1972) & c3_1(a1972))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.52 tff(37,plain,
% 0.19/0.52 ((~hskp28) | (~((~ndr1_0) | (~c0_1(a1972)) | (~c1_1(a1972)) | (~c3_1(a1972))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[36, 33])).
% 0.19/0.52 tff(38,plain,
% 0.19/0.52 (~hskp28),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[37, 32])).
% 0.19/0.52 tff(39,plain,
% 0.19/0.52 ((hskp1 | hskp21 | hskp28) <=> (hskp1 | hskp21 | hskp28)),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(40,plain,
% 0.19/0.52 (hskp1 | hskp21 | hskp28),
% 0.19/0.52 inference(and_elim,[status(thm)],[18])).
% 0.19/0.52 tff(41,plain,
% 0.19/0.52 (hskp1 | hskp21 | hskp28),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.52 tff(42,plain,
% 0.19/0.52 ($false),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[41, 38, 30, 22])).
% 0.19/0.52 tff(43,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.19/0.52 tff(44,assumption,(~(c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)))), introduced(assumption)).
% 0.19/0.52 tff(45,plain,
% 0.19/0.52 ((c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))) | (~c0_1(a1979))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(46,plain,
% 0.19/0.52 (~c0_1(a1979)),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.19/0.52 tff(47,assumption,(ndr1_0), introduced(assumption)).
% 0.19/0.52 tff(48,plain,
% 0.19/0.52 ((c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))) | (~c2_1(a1979))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(49,plain,
% 0.19/0.52 (~c2_1(a1979)),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[48, 44])).
% 0.19/0.52 tff(50,plain,
% 0.19/0.52 ((c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))) | c3_1(a1979)),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(51,plain,
% 0.19/0.52 (c3_1(a1979)),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[50, 44])).
% 0.19/0.52 tff(52,assumption,(c3_1(a1979)), introduced(assumption)).
% 0.19/0.52 tff(53,assumption,(~c2_1(a1979)), introduced(assumption)).
% 0.19/0.52 tff(54,assumption,(~c0_1(a1979)), introduced(assumption)).
% 0.19/0.52 tff(55,plain,
% 0.19/0.52 (((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | (c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)))) <=> ((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(56,plain,
% 0.19/0.52 ((c2_1(a1979) | c0_1(a1979) | (~c3_1(a1979)) | (~ndr1_0)) <=> (c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(57,plain,
% 0.19/0.52 (((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | (c2_1(a1979) | c0_1(a1979) | (~c3_1(a1979)) | (~ndr1_0))) <=> ((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | (c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[56])).
% 0.19/0.53 tff(58,plain,
% 0.19/0.53 (((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | (c2_1(a1979) | c0_1(a1979) | (~c3_1(a1979)) | (~ndr1_0))) <=> ((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)))),
% 0.19/0.53 inference(transitivity,[status(thm)],[57, 55])).
% 0.19/0.53 tff(59,plain,
% 0.19/0.53 ((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | (c2_1(a1979) | c0_1(a1979) | (~c3_1(a1979)) | (~ndr1_0))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(60,plain,
% 0.19/0.53 ((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.53 tff(61,plain,
% 0.19/0.53 ($false),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[60, 47, 54, 53, 52, 7])).
% 0.19/0.53 tff(62,plain,((~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0))) | (~ndr1_0) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.53 tff(63,plain,
% 0.19/0.53 ($false),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[62, 51, 49, 47, 7, 46])).
% 0.19/0.53 tff(64,plain,((c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))) | (~ndr1_0) | (~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.53 tff(65,plain,
% 0.19/0.53 ((c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))) | (~![X40: $i] : (c2_1(X40) | c0_1(X40) | (~c3_1(X40)) | (~ndr1_0)))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[64, 43])).
% 0.19/0.53 tff(66,plain,
% 0.19/0.53 (c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[65, 7])).
% 0.19/0.53 tff(67,plain,
% 0.19/0.53 (((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) <=> ((~hskp6) | (~(c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(68,plain,
% 0.19/0.53 (((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))) <=> ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(69,plain,
% 0.19/0.53 ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))),
% 0.19/0.53 inference(and_elim,[status(thm)],[18])).
% 0.19/0.53 tff(70,plain,
% 0.19/0.53 ((~hskp6) | (ndr1_0 & c3_1(a1979) & (~c0_1(a1979)) & (~c2_1(a1979)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.19/0.53 tff(71,plain,
% 0.19/0.53 ((~hskp6) | (~(c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[70, 67])).
% 0.19/0.53 tff(72,plain,
% 0.19/0.53 (~hskp6),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[71, 66])).
% 0.19/0.53 tff(73,plain,
% 0.19/0.53 ((hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) <=> (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0)))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(74,plain,
% 0.19/0.53 ((hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))) <=> (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0)))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(75,plain,
% 0.19/0.53 (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))),
% 0.19/0.53 inference(and_elim,[status(thm)],[18])).
% 0.19/0.53 tff(76,plain,
% 0.19/0.53 (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.19/0.53 tff(77,plain,
% 0.19/0.53 (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[76, 74])).
% 0.19/0.53 tff(78,plain,
% 0.19/0.53 (hskp17 | ![X114: $i] : ((~c0_1(X114)) | (~c2_1(X114)) | (~c1_1(X114)) | (~ndr1_0))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[77, 74])).
% 0.19/0.53 Proof display could not be completed: monotonicity rule is not handled
% 0.19/0.53 % E exiting
%------------------------------------------------------------------------------