%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN504-1 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n0EmbrLOh2 true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:05:10 PM UTC 2025
% Result : Unsatisfiable 11.27s 2.20s
% Output : Refutation 11.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SYN504-1 : TPTP v9.2.0. Released v2.1.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n0EmbrLOh2 true
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:40:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.32 % Running in FO mode
% 0.16/0.56 % Total configuration time : 435
% 0.16/0.56 % Estimated wc time : 1092
% 0.16/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.27/2.20 % Solved by fo/fo1_av.sh.
% 11.27/2.20 % done 2189 iterations in 1.455s
% 11.27/2.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.27/2.20 % SZS output start Refutation
% 11.27/2.20 thf(hskp28_type, type, hskp28: $o).
% 11.27/2.20 thf(hskp23_type, type, hskp23: $o).
% 11.27/2.20 thf(hskp20_type, type, hskp20: $o).
% 11.27/2.20 thf(hskp7_type, type, hskp7: $o).
% 11.27/2.20 thf(a366_type, type, a366: $i).
% 11.27/2.20 thf(hskp2_type, type, hskp2: $o).
% 11.27/2.20 thf(a376_type, type, a376: $i).
% 11.27/2.20 thf(a356_type, type, a356: $i).
% 11.27/2.20 thf(c1_1_type, type, c1_1: $i > $o).
% 11.27/2.20 thf(a369_type, type, a369: $i).
% 11.27/2.20 thf(hskp29_type, type, hskp29: $o).
% 11.27/2.20 thf(a360_type, type, a360: $i).
% 11.27/2.20 thf(a410_type, type, a410: $i).
% 11.27/2.20 thf(hskp11_type, type, hskp11: $o).
% 11.27/2.20 thf(a355_type, type, a355: $i).
% 11.27/2.20 thf(a395_type, type, a395: $i).
% 11.27/2.20 thf(hskp18_type, type, hskp18: $o).
% 11.27/2.20 thf(a399_type, type, a399: $i).
% 11.27/2.20 thf(a380_type, type, a380: $i).
% 11.27/2.20 thf(a353_type, type, a353: $i).
% 11.27/2.20 thf(hskp30_type, type, hskp30: $o).
% 11.27/2.20 thf(hskp24_type, type, hskp24: $o).
% 11.27/2.20 thf(a382_type, type, a382: $i).
% 11.27/2.20 thf(ndr1_0_type, type, ndr1_0: $o).
% 11.27/2.20 thf(a387_type, type, a387: $i).
% 11.27/2.20 thf(a373_type, type, a373: $i).
% 11.27/2.20 thf(c0_1_type, type, c0_1: $i > $o).
% 11.27/2.20 thf(a372_type, type, a372: $i).
% 11.27/2.20 thf(hskp8_type, type, hskp8: $o).
% 11.27/2.20 thf(hskp0_type, type, hskp0: $o).
% 11.27/2.20 thf(a388_type, type, a388: $i).
% 11.27/2.20 thf(a363_type, type, a363: $i).
% 11.27/2.20 thf(a365_type, type, a365: $i).
% 11.27/2.20 thf(a397_type, type, a397: $i).
% 11.27/2.20 thf(hskp31_type, type, hskp31: $o).
% 11.27/2.20 thf(hskp12_type, type, hskp12: $o).
% 11.27/2.20 thf(hskp6_type, type, hskp6: $o).
% 11.27/2.20 thf(a368_type, type, a368: $i).
% 11.27/2.20 thf(hskp10_type, type, hskp10: $o).
% 11.27/2.20 thf(hskp13_type, type, hskp13: $o).
% 11.27/2.20 thf(hskp1_type, type, hskp1: $o).
% 11.27/2.20 thf(c2_1_type, type, c2_1: $i > $o).
% 11.27/2.20 thf(hskp4_type, type, hskp4: $o).
% 11.27/2.20 thf(hskp3_type, type, hskp3: $o).
% 11.27/2.20 thf(hskp16_type, type, hskp16: $o).
% 11.27/2.20 thf(c3_1_type, type, c3_1: $i > $o).
% 11.27/2.20 thf(a370_type, type, a370: $i).
% 11.27/2.20 thf(a398_type, type, a398: $i).
% 11.27/2.20 thf(hskp21_type, type, hskp21: $o).
% 11.27/2.20 thf(a379_type, type, a379: $i).
% 11.27/2.20 thf(hskp22_type, type, hskp22: $o).
% 11.27/2.20 thf(hskp26_type, type, hskp26: $o).
% 11.27/2.20 thf(a358_type, type, a358: $i).
% 11.27/2.20 thf(hskp17_type, type, hskp17: $o).
% 11.27/2.20 thf(hskp15_type, type, hskp15: $o).
% 11.27/2.20 thf(a357_type, type, a357: $i).
% 11.27/2.20 thf(hskp19_type, type, hskp19: $o).
% 11.27/2.20 thf(clause16, conjecture, (~( ( ndr1_0 ) | ( ~( hskp17 ) ) ))).
% 11.27/2.20 thf(zf_stmt_0, negated_conjecture, (( ndr1_0 ) | ( ~( hskp17 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause16])).
% 11.27/2.20 thf(zip_derived_cl15, plain, (( (ndr1_0) | ~ (hskp17))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.27/2.20 thf('0', plain, (~ ( (hskp17)) | ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl15])).
% 11.27/2.20 thf(clause32, conjecture, (~( ( ndr1_0 ) | ( ~( hskp1 ) ) ))).
% 11.27/2.20 thf(zf_stmt_1, negated_conjecture, (( ndr1_0 ) | ( ~( hskp1 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause32])).
% 11.27/2.20 thf(zip_derived_cl31, plain, (( (ndr1_0) | ~ (hskp1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.27/2.20 thf('1', plain, (~ ( (hskp1)) | ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl31])).
% 11.27/2.20 thf(clause183, conjecture,
% 11.27/2.20 (~( ( hskp10 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_2, negated_conjecture,
% 11.27/2.20 (( hskp10 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause183])).
% 11.27/2.20 thf(zip_derived_cl182, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp10)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 11.27/2.20 thf('2', plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ( (hskp10)) | ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl182])).
% 11.27/2.20 thf(clause48, conjecture, (~( ( c1_1 @ a372 ) | ( ~( hskp29 ) ) ))).
% 11.27/2.20 thf(zf_stmt_3, negated_conjecture, (( c1_1 @ a372 ) | ( ~( hskp29 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause48])).
% 11.27/2.20 thf(zip_derived_cl47, plain, (( (c1_1 @ a372) | ~ (hskp29))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.27/2.20 thf(zip_derived_cl309, plain, (( (c1_1 @ a372)) <= (( (c1_1 @ a372)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl47])).
% 11.27/2.20 thf(clause162, conjecture,
% 11.27/2.20 (~( ( hskp22 ) | ( hskp30 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_4, negated_conjecture,
% 11.27/2.20 (( hskp22 ) | ( hskp30 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause162])).
% 11.27/2.20 thf(zip_derived_cl161, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp22)
% 11.27/2.20 | (hskp30)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (c0_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 11.27/2.20 thf(zip_derived_cl583, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl161])).
% 11.27/2.20 thf(zip_derived_cl848, plain,
% 11.27/2.20 (((~ (c0_1 @ a372) | ~ (c3_1 @ a372)))
% 11.27/2.20 <= (( (c1_1 @ a372)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl583])).
% 11.27/2.20 thf('3', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a372)) | ~ ( (c1_1 @ a372)) | ~ ( (c0_1 @ a372))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl848])).
% 11.27/2.20 thf(clause141, conjecture,
% 11.27/2.20 (~( ( hskp11 ) | ( hskp8 ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_5, negated_conjecture,
% 11.27/2.20 (( hskp11 ) | ( hskp8 ) | ( c1_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause141])).
% 11.27/2.20 thf(zip_derived_cl140, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp11)
% 11.27/2.20 | (hskp8)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 11.27/2.20 thf(zip_derived_cl501, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl140])).
% 11.27/2.20 thf(clause116, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c1_1 @ a368 ) ) ))).
% 11.27/2.20 thf(zf_stmt_6, negated_conjecture, (( ~( hskp11 ) ) | ( ~( c1_1 @ a368 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause116])).
% 11.27/2.20 thf(zip_derived_cl115, plain, ((~ (hskp11) | ~ (c1_1 @ a368))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_6])).
% 11.27/2.20 thf(zip_derived_cl445, plain, ((~ (c1_1 @ a368)) <= (~ ( (c1_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl115])).
% 11.27/2.20 thf(zip_derived_cl1395, plain,
% 11.27/2.20 (((~ (c3_1 @ a368) | (c0_1 @ a368)))
% 11.27/2.20 <= (~ ( (c1_1 @ a368)) &
% 11.27/2.20 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl501, zip_derived_cl445])).
% 11.27/2.20 thf('4', plain,
% 11.27/2.20 (( (c0_1 @ a368)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (c1_1 @ a368)) | ~ ( (c3_1 @ a368))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1395])).
% 11.27/2.20 thf(clause171, conjecture,
% 11.27/2.20 (~( ( hskp10 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( c0_1 @ U ) | ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_7, negated_conjecture,
% 11.27/2.20 (( hskp10 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause171])).
% 11.27/2.20 thf(zip_derived_cl170, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp10)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 11.27/2.20 thf('5', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp10)) | ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl170])).
% 11.27/2.20 thf(clause165, conjecture,
% 11.27/2.20 (~( ( hskp10 ) | ( hskp24 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_8, negated_conjecture,
% 11.27/2.20 (( hskp10 ) | ( hskp24 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause165])).
% 11.27/2.20 thf(zip_derived_cl164, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp10)
% 11.27/2.20 | (hskp24)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_8])).
% 11.27/2.20 thf('6', plain,
% 11.27/2.20 (( (hskp24)) | ( (hskp10)) | ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl164])).
% 11.27/2.20 thf(clause160, conjecture,
% 11.27/2.20 (~( ( hskp11 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_9, negated_conjecture,
% 11.27/2.20 (( hskp11 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause160])).
% 11.27/2.20 thf(zip_derived_cl159, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp11)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 11.27/2.20 thf('7', plain,
% 11.27/2.20 (( (hskp11)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl159])).
% 11.27/2.20 thf(clause169, conjecture,
% 11.27/2.20 (~( ( hskp12 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_10, negated_conjecture,
% 11.27/2.20 (( hskp12 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( c2_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause169])).
% 11.27/2.20 thf(zip_derived_cl168, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp12)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_10])).
% 11.27/2.20 thf(zip_derived_cl611, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl168])).
% 11.27/2.20 thf(clause63, conjecture, (~( ( c1_1 @ a388 ) | ( ~( hskp20 ) ) ))).
% 11.27/2.20 thf(zf_stmt_11, negated_conjecture, (( c1_1 @ a388 ) | ( ~( hskp20 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause63])).
% 11.27/2.20 thf(zip_derived_cl62, plain, (( (c1_1 @ a388) | ~ (hskp20))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_11])).
% 11.27/2.20 thf(zip_derived_cl339, plain, (( (c1_1 @ a388)) <= (( (c1_1 @ a388)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl62])).
% 11.27/2.20 thf(zip_derived_cl1823, plain,
% 11.27/2.20 ((( (c2_1 @ a388) | (c3_1 @ a388)))
% 11.27/2.20 <= (( (c1_1 @ a388)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl611, zip_derived_cl339])).
% 11.27/2.20 thf('8', plain,
% 11.27/2.20 (( (c2_1 @ a388)) | ( (c3_1 @ a388)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (c1_1 @ a388))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1823])).
% 11.27/2.20 thf(clause193, conjecture,
% 11.27/2.20 (~( ( hskp28 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( ~( c1_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_12, negated_conjecture,
% 11.27/2.20 (( hskp28 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( ~( c1_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause193])).
% 11.27/2.20 thf(zip_derived_cl192, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp28)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_12])).
% 11.27/2.20 thf('9', plain,
% 11.27/2.20 (( (hskp28)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl192])).
% 11.27/2.20 thf(clause154, conjecture,
% 11.27/2.20 (~( ( hskp8 ) | ( hskp12 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_13, negated_conjecture,
% 11.27/2.20 (( hskp8 ) | ( hskp12 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause154])).
% 11.27/2.20 thf(zip_derived_cl153, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp8)
% 11.27/2.20 | (hskp12)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (c0_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_13])).
% 11.27/2.20 thf(zip_derived_cl552, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl153])).
% 11.27/2.20 thf(clause108, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c1_1 @ a379 ) ) ))).
% 11.27/2.20 thf(zf_stmt_14, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c1_1 @ a379 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause108])).
% 11.27/2.20 thf(zip_derived_cl107, plain, ((~ (hskp16) | ~ (c1_1 @ a379))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_14])).
% 11.27/2.20 thf(zip_derived_cl429, plain, ((~ (c1_1 @ a379)) <= (~ ( (c1_1 @ a379)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl107])).
% 11.27/2.20 thf(zip_derived_cl1565, plain,
% 11.27/2.20 (((~ (c0_1 @ a379) | ~ (c2_1 @ a379)))
% 11.27/2.20 <= (~ ( (c1_1 @ a379)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl429])).
% 11.27/2.20 thf(zip_derived_cl2003, plain, ((~ (c0_1 @ a379)) <= (~ ( (c0_1 @ a379)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1565])).
% 11.27/2.20 thf(clause145, conjecture,
% 11.27/2.20 (~( ( hskp19 ) | ( hskp28 ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_15, negated_conjecture,
% 11.27/2.20 (( hskp19 ) | ( hskp28 ) | ( c3_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause145])).
% 11.27/2.20 thf(zip_derived_cl144, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp19)
% 11.27/2.20 | (hskp28)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_15])).
% 11.27/2.20 thf(zip_derived_cl517, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl144])).
% 11.27/2.20 thf(zip_derived_cl2006, plain,
% 11.27/2.20 (((~ (c2_1 @ a379) | (c3_1 @ a379)))
% 11.27/2.20 <= (~ ( (c0_1 @ a379)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl2003, zip_derived_cl517])).
% 11.27/2.20 thf('10', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a379)) | ~ ( (c2_1 @ a379)) | ( (c3_1 @ a379))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2006])).
% 11.27/2.20 thf(clause191, conjecture,
% 11.27/2.20 (~( ( hskp16 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_16, negated_conjecture,
% 11.27/2.20 (( hskp16 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause191])).
% 11.27/2.20 thf(zip_derived_cl190, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp16)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_16])).
% 11.27/2.20 thf('11', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp16)) | ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl190])).
% 11.27/2.20 thf(clause172, conjecture,
% 11.27/2.20 (~( ( hskp4 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( c0_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_17, negated_conjecture,
% 11.27/2.20 (( hskp4 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause172])).
% 11.27/2.20 thf(zip_derived_cl171, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp4)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_17])).
% 11.27/2.20 thf(zip_derived_cl623, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl171])).
% 11.27/2.20 thf(clause62, conjecture, (~( ( c1_1 @ a395 ) | ( ~( hskp21 ) ) ))).
% 11.27/2.20 thf(zf_stmt_18, negated_conjecture, (( c1_1 @ a395 ) | ( ~( hskp21 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause62])).
% 11.27/2.20 thf(zip_derived_cl61, plain, (( (c1_1 @ a395) | ~ (hskp21))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_18])).
% 11.27/2.20 thf(zip_derived_cl337, plain, (( (c1_1 @ a395)) <= (( (c1_1 @ a395)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl61])).
% 11.27/2.20 thf(zip_derived_cl1880, plain,
% 11.27/2.20 ((( (c3_1 @ a395) | (c0_1 @ a395)))
% 11.27/2.20 <= (( (c1_1 @ a395)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl337])).
% 11.27/2.20 thf('12', plain,
% 11.27/2.20 (( (c3_1 @ a395)) | ( (c0_1 @ a395)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (c1_1 @ a395))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1880])).
% 11.27/2.20 thf(zip_derived_cl309, plain, (( (c1_1 @ a372)) <= (( (c1_1 @ a372)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl47])).
% 11.27/2.20 thf(zip_derived_cl576, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl159])).
% 11.27/2.20 thf(zip_derived_cl846, plain,
% 11.27/2.20 (((~ (c2_1 @ a372) | ~ (c3_1 @ a372)))
% 11.27/2.20 <= (( (c1_1 @ a372)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl576])).
% 11.27/2.20 thf('13', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a372)) | ~ ( (c2_1 @ a372)) | ~ ( (c1_1 @ a372))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl846])).
% 11.27/2.20 thf(clause142, conjecture,
% 11.27/2.20 (~( ( hskp30 ) | ( hskp29 ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_19, negated_conjecture,
% 11.27/2.20 (( hskp30 ) | ( hskp29 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause142])).
% 11.27/2.20 thf(zip_derived_cl141, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp30)
% 11.27/2.20 | (hskp29)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c1_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_19])).
% 11.27/2.20 thf('14', plain,
% 11.27/2.20 (( (hskp29)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) | ( (hskp30))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl141])).
% 11.27/2.20 thf(clause187, conjecture,
% 11.27/2.20 (~( ( hskp31 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_20, negated_conjecture,
% 11.27/2.20 (( hskp31 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause187])).
% 11.27/2.20 thf(zip_derived_cl186, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp31)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_20])).
% 11.27/2.20 thf('15', plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 ( (hskp31)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl186])).
% 11.27/2.20 thf(clause45, conjecture, (~( ( c1_1 @ a373 ) | ( ~( hskp30 ) ) ))).
% 11.27/2.20 thf(zf_stmt_21, negated_conjecture, (( c1_1 @ a373 ) | ( ~( hskp30 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause45])).
% 11.27/2.20 thf(zip_derived_cl44, plain, (( (c1_1 @ a373) | ~ (hskp30))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_21])).
% 11.27/2.20 thf(zip_derived_cl303, plain, (( (c1_1 @ a373)) <= (( (c1_1 @ a373)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl44])).
% 11.27/2.20 thf(zip_derived_cl583, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl161])).
% 11.27/2.20 thf(zip_derived_cl804, plain,
% 11.27/2.20 (((~ (c0_1 @ a373) | ~ (c3_1 @ a373)))
% 11.27/2.20 <= (( (c1_1 @ a373)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl583])).
% 11.27/2.20 thf('16', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a373)) | ~ ( (c1_1 @ a373)) | ~ ( (c3_1 @ a373))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl804])).
% 11.27/2.20 thf(zip_derived_cl683, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl186])).
% 11.27/2.20 thf(clause47, conjecture, (~( ( c0_1 @ a372 ) | ( ~( hskp29 ) ) ))).
% 11.27/2.20 thf(zf_stmt_22, negated_conjecture, (( c0_1 @ a372 ) | ( ~( hskp29 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause47])).
% 11.27/2.20 thf(zip_derived_cl46, plain, (( (c0_1 @ a372) | ~ (hskp29))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_22])).
% 11.27/2.20 thf(zip_derived_cl307, plain, (( (c0_1 @ a372)) <= (( (c0_1 @ a372)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl46])).
% 11.27/2.20 thf(zip_derived_cl1278, plain,
% 11.27/2.20 (((~ (c2_1 @ a372) | (c3_1 @ a372)))
% 11.27/2.20 <= (( (c0_1 @ a372)) &
% 11.27/2.20 (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl307])).
% 11.27/2.20 thf('17', plain,
% 11.27/2.20 (( (c3_1 @ a372)) | ~ ( (c0_1 @ a372)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (c2_1 @ a372))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1278])).
% 11.27/2.20 thf(clause168, conjecture,
% 11.27/2.20 (~( ( hskp7 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_23, negated_conjecture,
% 11.27/2.20 (( hskp7 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause168])).
% 11.27/2.20 thf(zip_derived_cl167, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp7)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_23])).
% 11.27/2.20 thf(zip_derived_cl608, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl167])).
% 11.27/2.20 thf(zip_derived_cl429, plain, ((~ (c1_1 @ a379)) <= (~ ( (c1_1 @ a379)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl107])).
% 11.27/2.20 thf(zip_derived_cl2186, plain,
% 11.27/2.20 ((( (c3_1 @ a379) | (c0_1 @ a379)))
% 11.27/2.20 <= (~ ( (c1_1 @ a379)) &
% 11.27/2.20 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl608, zip_derived_cl429])).
% 11.27/2.20 thf('18', plain,
% 11.27/2.20 (~ (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a379)) | ( (c3_1 @ a379)) | ( (c1_1 @ a379))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2186])).
% 11.27/2.20 thf(clause173, conjecture,
% 11.27/2.20 (~( ( hskp11 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( c1_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_24, negated_conjecture,
% 11.27/2.20 (( hskp11 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause173])).
% 11.27/2.20 thf(zip_derived_cl172, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp11)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | (c1_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_24])).
% 11.27/2.20 thf(zip_derived_cl627, plain,
% 11.27/2.20 ((![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl172])).
% 11.27/2.20 thf(clause110, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c1_1 @ a376 ) ) ))).
% 11.27/2.20 thf(zf_stmt_25, negated_conjecture, (( ~( hskp15 ) ) | ( ~( c1_1 @ a376 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause110])).
% 11.27/2.20 thf(zip_derived_cl109, plain, ((~ (hskp15) | ~ (c1_1 @ a376))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_25])).
% 11.27/2.20 thf(zip_derived_cl433, plain, ((~ (c1_1 @ a376)) <= (~ ( (c1_1 @ a376)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl109])).
% 11.27/2.20 thf(zip_derived_cl2039, plain,
% 11.27/2.20 ((( (c2_1 @ a376) | ~ (c0_1 @ a376)))
% 11.27/2.20 <= (~ ( (c1_1 @ a376)) &
% 11.27/2.20 (![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl627, zip_derived_cl433])).
% 11.27/2.20 thf('19', plain,
% 11.27/2.20 (~ (![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ( (c1_1 @ a376)) | ~ ( (c0_1 @ a376)) | ( (c2_1 @ a376))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2039])).
% 11.27/2.20 thf(clause137, conjecture,
% 11.27/2.20 (~( ( hskp4 ) | ( hskp3 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) ))).
% 11.27/2.20 thf(zf_stmt_26, negated_conjecture,
% 11.27/2.20 (( hskp4 ) | ( hskp3 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause137])).
% 11.27/2.20 thf(zip_derived_cl136, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp4)
% 11.27/2.20 | (hskp3)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_26])).
% 11.27/2.20 thf(zip_derived_cl487, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl136])).
% 11.27/2.20 thf(zip_derived_cl429, plain, ((~ (c1_1 @ a379)) <= (~ ( (c1_1 @ a379)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl107])).
% 11.27/2.20 thf(zip_derived_cl1111, plain,
% 11.27/2.20 ((( (c0_1 @ a379) | (c2_1 @ a379)))
% 11.27/2.20 <= (~ ( (c1_1 @ a379)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl429])).
% 11.27/2.20 thf(zip_derived_cl3393, plain, (( (c0_1 @ a379)) <= (( (c0_1 @ a379)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1111])).
% 11.27/2.20 thf(zip_derived_cl683, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl186])).
% 11.27/2.20 thf(zip_derived_cl3407, plain,
% 11.27/2.20 ((( (c3_1 @ a379) | ~ (c2_1 @ a379)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) &
% 11.27/2.20 ( (c0_1 @ a379)))),
% 11.27/2.20 inference('s_sup-', [status(thm)],
% 11.27/2.20 [zip_derived_cl3393, zip_derived_cl683])).
% 11.27/2.20 thf('20', plain,
% 11.27/2.20 (~ ( (c0_1 @ a379)) | ~ ( (c2_1 @ a379)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 ( (c3_1 @ a379))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl3407])).
% 11.27/2.20 thf('21', plain, (~ ( (c1_1 @ a376)) | ~ ( (hskp15))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl109])).
% 11.27/2.20 thf(clause67, conjecture, (~( ( c2_1 @ a379 ) | ( ~( hskp16 ) ) ))).
% 11.27/2.20 thf(zf_stmt_27, negated_conjecture, (( c2_1 @ a379 ) | ( ~( hskp16 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause67])).
% 11.27/2.20 thf(zip_derived_cl66, plain, (( (c2_1 @ a379) | ~ (hskp16))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_27])).
% 11.27/2.20 thf('22', plain, (( (c2_1 @ a379)) | ~ ( (hskp16))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl66])).
% 11.27/2.20 thf('23', plain, (~ ( (c1_1 @ a379)) | ~ ( (hskp16))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl107])).
% 11.27/2.20 thf(clause109, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c3_1 @ a379 ) ) ))).
% 11.27/2.20 thf(zf_stmt_28, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c3_1 @ a379 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause109])).
% 11.27/2.20 thf(zip_derived_cl108, plain, ((~ (hskp16) | ~ (c3_1 @ a379))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_28])).
% 11.27/2.20 thf('24', plain, (~ ( (c3_1 @ a379)) | ~ ( (hskp16))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl108])).
% 11.27/2.20 thf(clause196, conjecture,
% 11.27/2.20 (~( ( hskp16 ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_29, negated_conjecture,
% 11.27/2.20 (( hskp16 ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause196])).
% 11.27/2.20 thf(zip_derived_cl195, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp16)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_29])).
% 11.27/2.20 thf('25', plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp16)) | ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl195])).
% 11.27/2.20 thf(clause146, conjecture,
% 11.27/2.20 (~( ( hskp0 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_30, negated_conjecture,
% 11.27/2.20 (( hskp0 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause146])).
% 11.27/2.20 thf(zip_derived_cl145, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp0) | (c0_1 @ X0) | ~ (ndr1_0) | ~ (c3_1 @ X0) | ~ (c2_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_30])).
% 11.27/2.20 thf(zip_derived_cl521, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl145])).
% 11.27/2.20 thf(clause50, conjecture, (~( ( c1_1 @ a365 ) | ( ~( hskp28 ) ) ))).
% 11.27/2.20 thf(zf_stmt_31, negated_conjecture, (( c1_1 @ a365 ) | ( ~( hskp28 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause50])).
% 11.27/2.20 thf(zip_derived_cl49, plain, (( (c1_1 @ a365) | ~ (hskp28))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_31])).
% 11.27/2.20 thf(zip_derived_cl313, plain, (( (c1_1 @ a365)) <= (( (c1_1 @ a365)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl49])).
% 11.27/2.20 thf(clause161, conjecture,
% 11.27/2.20 (~( ( hskp20 ) | ( hskp22 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_32, negated_conjecture,
% 11.27/2.20 (( hskp20 ) | ( hskp22 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause161])).
% 11.27/2.20 thf(zip_derived_cl160, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp20)
% 11.27/2.20 | (hskp22)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (c0_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_32])).
% 11.27/2.20 thf(zip_derived_cl579, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.20 thf(zip_derived_cl874, plain,
% 11.27/2.20 (((~ (c2_1 @ a365) | ~ (c0_1 @ a365)))
% 11.27/2.20 <= (( (c1_1 @ a365)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl579])).
% 11.27/2.20 thf(zip_derived_cl881, plain, ((~ (c0_1 @ a365)) <= (~ ( (c0_1 @ a365)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl874])).
% 11.27/2.20 thf(zip_derived_cl1519, plain,
% 11.27/2.20 (((~ (c3_1 @ a365) | ~ (c2_1 @ a365)))
% 11.27/2.20 <= (~ ( (c0_1 @ a365)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl521, zip_derived_cl881])).
% 11.27/2.20 thf('26', plain,
% 11.27/2.20 (( (c0_1 @ a365)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a365)) | ~ ( (c3_1 @ a365))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1519])).
% 11.27/2.20 thf(zip_derived_cl612, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl168])).
% 11.27/2.20 thf(clause117, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c0_1 @ a366 ) ) ))).
% 11.27/2.20 thf(zf_stmt_33, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c0_1 @ a366 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause117])).
% 11.27/2.20 thf(zip_derived_cl116, plain, ((~ (hskp10) | ~ (c0_1 @ a366))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_33])).
% 11.27/2.20 thf(zip_derived_cl447, plain, ((~ (c0_1 @ a366)) <= (~ ( (c0_1 @ a366)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl116])).
% 11.27/2.20 thf(zip_derived_cl2256, plain,
% 11.27/2.20 ((( (c3_1 @ a366) | (c2_1 @ a366)))
% 11.27/2.20 <= (~ ( (c0_1 @ a366)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl447])).
% 11.27/2.20 thf('27', plain,
% 11.27/2.20 (( (c0_1 @ a366)) | ( (c2_1 @ a366)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c3_1 @ a366))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2256])).
% 11.27/2.20 thf('28', plain, (~ ( (c0_1 @ a366)) | ~ ( (hskp10))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl116])).
% 11.27/2.20 thf(clause118, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c2_1 @ a366 ) ) ))).
% 11.27/2.20 thf(zf_stmt_34, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c2_1 @ a366 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause118])).
% 11.27/2.20 thf(zip_derived_cl117, plain, ((~ (hskp10) | ~ (c2_1 @ a366))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_34])).
% 11.27/2.20 thf('29', plain, (~ ( (c2_1 @ a366)) | ~ ( (hskp10))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl117])).
% 11.27/2.20 thf(clause119, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c3_1 @ a366 ) ) ))).
% 11.27/2.20 thf(zf_stmt_35, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c3_1 @ a366 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause119])).
% 11.27/2.20 thf(zip_derived_cl118, plain, ((~ (hskp10) | ~ (c3_1 @ a366))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_35])).
% 11.27/2.20 thf('30', plain, (~ ( (c3_1 @ a366)) | ~ ( (hskp10))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl118])).
% 11.27/2.20 thf(clause163, conjecture,
% 11.27/2.20 (~( ( hskp10 ) | ( hskp29 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_36, negated_conjecture,
% 11.27/2.20 (( hskp10 ) | ( hskp29 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause163])).
% 11.27/2.20 thf(zip_derived_cl162, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp10)
% 11.27/2.20 | (hskp29)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (c0_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_36])).
% 11.27/2.20 thf('31', plain,
% 11.27/2.20 (( (hskp29)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp10)) | ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl162])).
% 11.27/2.20 thf(zip_derived_cl579, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.20 thf(zip_derived_cl552, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl153])).
% 11.27/2.20 thf(zip_derived_cl1579, plain,
% 11.27/2.20 ((![X0 : $i]:
% 11.27/2.20 (~ (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl579, zip_derived_cl552])).
% 11.27/2.20 thf(zip_derived_cl1586, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('simplify', [status(thm)], [zip_derived_cl1579])).
% 11.27/2.20 thf(clause41, conjecture, (~( ( c0_1 @ a410 ) | ( ~( hskp31 ) ) ))).
% 11.27/2.20 thf(zf_stmt_37, negated_conjecture, (( c0_1 @ a410 ) | ( ~( hskp31 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause41])).
% 11.27/2.20 thf(zip_derived_cl40, plain, (( (c0_1 @ a410) | ~ (hskp31))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_37])).
% 11.27/2.20 thf(zip_derived_cl295, plain, (( (c0_1 @ a410)) <= (( (c0_1 @ a410)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl40])).
% 11.27/2.20 thf(zip_derived_cl2421, plain,
% 11.27/2.20 ((~ (c2_1 @ a410))
% 11.27/2.20 <= (( (c0_1 @ a410)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl1586, zip_derived_cl295])).
% 11.27/2.20 thf(clause42, conjecture, (~( ( c2_1 @ a410 ) | ( ~( hskp31 ) ) ))).
% 11.27/2.20 thf(zf_stmt_38, negated_conjecture, (( c2_1 @ a410 ) | ( ~( hskp31 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause42])).
% 11.27/2.20 thf(zip_derived_cl41, plain, (( (c2_1 @ a410) | ~ (hskp31))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_38])).
% 11.27/2.20 thf(zip_derived_cl297, plain, (( (c2_1 @ a410)) <= (( (c2_1 @ a410)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl41])).
% 11.27/2.20 thf('32', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a410)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a410))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl2421, zip_derived_cl297])).
% 11.27/2.20 thf('33', plain, (( (c0_1 @ a410)) | ~ ( (hskp31))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl40])).
% 11.27/2.20 thf('34', plain, (( (c2_1 @ a410)) | ~ ( (hskp31))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl41])).
% 11.27/2.20 thf(clause43, conjecture, (~( ( c3_1 @ a410 ) | ( ~( hskp31 ) ) ))).
% 11.27/2.20 thf(zf_stmt_39, negated_conjecture, (( c3_1 @ a410 ) | ( ~( hskp31 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause43])).
% 11.27/2.20 thf(zip_derived_cl42, plain, (( (c3_1 @ a410) | ~ (hskp31))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_39])).
% 11.27/2.20 thf('35', plain, (( (c3_1 @ a410)) | ~ ( (hskp31))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl42])).
% 11.27/2.20 thf(zip_derived_cl587, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl162])).
% 11.27/2.20 thf(zip_derived_cl295, plain, (( (c0_1 @ a410)) <= (( (c0_1 @ a410)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl40])).
% 11.27/2.20 thf(zip_derived_cl827, plain,
% 11.27/2.20 (((~ (c3_1 @ a410) | ~ (c2_1 @ a410)))
% 11.27/2.20 <= (( (c0_1 @ a410)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl587, zip_derived_cl295])).
% 11.27/2.20 thf('36', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a410)) | ~ ( (c3_1 @ a410)) | ~ ( (c0_1 @ a410))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl827])).
% 11.27/2.20 thf(clause186, conjecture,
% 11.27/2.20 (~( ( hskp31 ) | ( c1_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_40, negated_conjecture,
% 11.27/2.20 (( hskp31 ) | ( c1_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause186])).
% 11.27/2.20 thf(zip_derived_cl185, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp31)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_40])).
% 11.27/2.20 thf('37', plain,
% 11.27/2.20 (( (hskp31)) |
% 11.27/2.20 (![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl185])).
% 11.27/2.20 thf(clause85, conjecture, (~( ( c0_1 @ a355 ) | ( ~( hskp1 ) ) ))).
% 11.27/2.20 thf(zf_stmt_41, negated_conjecture, (( c0_1 @ a355 ) | ( ~( hskp1 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause85])).
% 11.27/2.20 thf(zip_derived_cl84, plain, (( (c0_1 @ a355) | ~ (hskp1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_41])).
% 11.27/2.20 thf('38', plain, (( (c0_1 @ a355)) | ~ ( (hskp1))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl84])).
% 11.27/2.20 thf(clause86, conjecture, (~( ( c3_1 @ a355 ) | ( ~( hskp1 ) ) ))).
% 11.27/2.20 thf(zf_stmt_42, negated_conjecture, (( c3_1 @ a355 ) | ( ~( hskp1 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause86])).
% 11.27/2.20 thf(zip_derived_cl85, plain, (( (c3_1 @ a355) | ~ (hskp1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_42])).
% 11.27/2.20 thf('39', plain, (( (c3_1 @ a355)) | ~ ( (hskp1))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl85])).
% 11.27/2.20 thf(clause135, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c1_1 @ a355 ) ) ))).
% 11.27/2.20 thf(zf_stmt_43, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c1_1 @ a355 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause135])).
% 11.27/2.20 thf(zip_derived_cl134, plain, ((~ (hskp1) | ~ (c1_1 @ a355))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_43])).
% 11.27/2.20 thf('40', plain, (~ ( (c1_1 @ a355)) | ~ ( (hskp1))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl134])).
% 11.27/2.20 thf(clause184, conjecture,
% 11.27/2.20 (~( ( hskp23 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_44, negated_conjecture,
% 11.27/2.20 (( hskp23 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause184])).
% 11.27/2.20 thf(zip_derived_cl183, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp23)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c1_1 @ X1)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_44])).
% 11.27/2.20 thf(zip_derived_cl671, plain,
% 11.27/2.20 ((![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl183])).
% 11.27/2.20 thf(zip_derived_cl483, plain, ((~ (c1_1 @ a355)) <= (~ ( (c1_1 @ a355)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl134])).
% 11.27/2.20 thf(zip_derived_cl1735, plain,
% 11.27/2.20 (((~ (c3_1 @ a355) | ~ (c0_1 @ a355)))
% 11.27/2.20 <= (~ ( (c1_1 @ a355)) &
% 11.27/2.20 (![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl483])).
% 11.27/2.20 thf('41', plain,
% 11.27/2.20 (~ (![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (c0_1 @ a355)) | ( (c1_1 @ a355)) | ~ ( (c3_1 @ a355))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1735])).
% 11.27/2.20 thf(clause167, conjecture,
% 11.27/2.20 (~( ( hskp1 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_45, negated_conjecture,
% 11.27/2.20 (( hskp1 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( c2_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause167])).
% 11.27/2.20 thf(zip_derived_cl166, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp1)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_45])).
% 11.27/2.20 thf('42', plain,
% 11.27/2.20 (( (hskp1)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl166])).
% 11.27/2.20 thf(clause44, conjecture, (~( ( c0_1 @ a373 ) | ( ~( hskp30 ) ) ))).
% 11.27/2.20 thf(zf_stmt_46, negated_conjecture, (( c0_1 @ a373 ) | ( ~( hskp30 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause44])).
% 11.27/2.20 thf(zip_derived_cl43, plain, (( (c0_1 @ a373) | ~ (hskp30))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_46])).
% 11.27/2.20 thf('43', plain, (( (c0_1 @ a373)) | ~ ( (hskp30))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl43])).
% 11.27/2.20 thf(clause205, conjecture,
% 11.27/2.20 (~( ( c3_1 @ W ) | ( c2_1 @ W ) | ( c2_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_47, negated_conjecture,
% 11.27/2.20 (( c3_1 @ W ) | ( c2_1 @ W ) | ( c2_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause205])).
% 11.27/2.20 thf(zip_derived_cl204, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.27/2.20 ( (c3_1 @ X0)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | (c2_1 @ X2)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X2)
% 11.27/2.20 | ~ (c1_1 @ X2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_47])).
% 11.27/2.20 thf('44', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl204])).
% 11.27/2.20 thf(zip_derived_cl611, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl168])).
% 11.27/2.20 thf(clause66, conjecture, (~( ( c1_1 @ a380 ) | ( ~( hskp17 ) ) ))).
% 11.27/2.20 thf(zf_stmt_48, negated_conjecture, (( c1_1 @ a380 ) | ( ~( hskp17 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause66])).
% 11.27/2.20 thf(zip_derived_cl65, plain, (( (c1_1 @ a380) | ~ (hskp17))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_48])).
% 11.27/2.20 thf(zip_derived_cl345, plain, (( (c1_1 @ a380)) <= (( (c1_1 @ a380)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl65])).
% 11.27/2.20 thf(zip_derived_cl1824, plain,
% 11.27/2.20 ((( (c2_1 @ a380) | (c3_1 @ a380)))
% 11.27/2.20 <= (( (c1_1 @ a380)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl611, zip_derived_cl345])).
% 11.27/2.20 thf('45', plain,
% 11.27/2.20 (~ (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ( (c2_1 @ a380)) | ( (c3_1 @ a380)) | ~ ( (c1_1 @ a380))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1824])).
% 11.27/2.20 thf(zip_derived_cl756, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl204])).
% 11.27/2.20 thf(zip_derived_cl345, plain, (( (c1_1 @ a380)) <= (( (c1_1 @ a380)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl65])).
% 11.27/2.20 thf(zip_derived_cl1479, plain,
% 11.27/2.20 ((( (c2_1 @ a380) | ~ (c0_1 @ a380)))
% 11.27/2.20 <= (( (c1_1 @ a380)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl756, zip_derived_cl345])).
% 11.27/2.20 thf('46', plain,
% 11.27/2.20 (~ (![X1 : $i]: (~ (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ( (c2_1 @ a380)) | ~ ( (c0_1 @ a380)) | ~ ( (c1_1 @ a380))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1479])).
% 11.27/2.20 thf(clause177, conjecture,
% 11.27/2.20 (~( ( hskp6 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_49, negated_conjecture,
% 11.27/2.20 (( hskp6 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c2_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause177])).
% 11.27/2.20 thf(zip_derived_cl176, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp6)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_49])).
% 11.27/2.20 thf(zip_derived_cl644, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl176])).
% 11.27/2.20 thf(zip_derived_cl445, plain, ((~ (c1_1 @ a368)) <= (~ ( (c1_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl115])).
% 11.27/2.20 thf(zip_derived_cl2112, plain,
% 11.27/2.20 ((( (c0_1 @ a368) | ~ (c2_1 @ a368)))
% 11.27/2.20 <= (~ ( (c1_1 @ a368)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl644, zip_derived_cl445])).
% 11.27/2.20 thf('47', plain,
% 11.27/2.20 (( (c0_1 @ a368)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (c1_1 @ a368)) | ~ ( (c2_1 @ a368))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2112])).
% 11.27/2.20 thf(zip_derived_cl487, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl136])).
% 11.27/2.20 thf(zip_derived_cl445, plain, ((~ (c1_1 @ a368)) <= (~ ( (c1_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl115])).
% 11.27/2.20 thf(zip_derived_cl1114, plain,
% 11.27/2.20 ((( (c0_1 @ a368) | (c2_1 @ a368)))
% 11.27/2.20 <= (~ ( (c1_1 @ a368)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl445])).
% 11.27/2.20 thf(zip_derived_cl3493, plain, (( (c0_1 @ a368)) <= (( (c0_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1114])).
% 11.27/2.20 thf(zip_derived_cl587, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl162])).
% 11.27/2.20 thf(zip_derived_cl3496, plain,
% 11.27/2.20 (((~ (c2_1 @ a368) | ~ (c3_1 @ a368)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) &
% 11.27/2.20 ( (c0_1 @ a368)))),
% 11.27/2.20 inference('s_sup-', [status(thm)],
% 11.27/2.20 [zip_derived_cl3493, zip_derived_cl587])).
% 11.27/2.20 thf('48', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a368)) | ~ ( (c2_1 @ a368)) | ~ ( (c3_1 @ a368))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl3496])).
% 11.27/2.20 thf(zip_derived_cl505, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl141])).
% 11.27/2.20 thf(clause81, conjecture, (~( ( c1_1 @ a357 ) | ( ~( hskp3 ) ) ))).
% 11.27/2.20 thf(zf_stmt_50, negated_conjecture, (( c1_1 @ a357 ) | ( ~( hskp3 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause81])).
% 11.27/2.20 thf(zip_derived_cl80, plain, (( (c1_1 @ a357) | ~ (hskp3))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_50])).
% 11.27/2.20 thf(zip_derived_cl375, plain, (( (c1_1 @ a357)) <= (( (c1_1 @ a357)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl80])).
% 11.27/2.20 thf(zip_derived_cl1447, plain,
% 11.27/2.20 ((( (c0_1 @ a357) | (c2_1 @ a357)))
% 11.27/2.20 <= (( (c1_1 @ a357)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl375])).
% 11.27/2.20 thf('49', plain,
% 11.27/2.20 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (c2_1 @ a357)) | ~ ( (c1_1 @ a357)) | ( (c0_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1447])).
% 11.27/2.20 thf(clause58, conjecture, (~( ( c1_1 @ a398 ) | ( ~( hskp23 ) ) ))).
% 11.27/2.20 thf(zf_stmt_51, negated_conjecture, (( c1_1 @ a398 ) | ( ~( hskp23 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause58])).
% 11.27/2.20 thf(zip_derived_cl57, plain, (( (c1_1 @ a398) | ~ (hskp23))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_51])).
% 11.27/2.20 thf('50', plain, (( (c1_1 @ a398)) | ~ ( (hskp23))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl57])).
% 11.27/2.20 thf(clause59, conjecture, (~( ( c3_1 @ a398 ) | ( ~( hskp23 ) ) ))).
% 11.27/2.20 thf(zf_stmt_52, negated_conjecture, (( c3_1 @ a398 ) | ( ~( hskp23 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause59])).
% 11.27/2.20 thf(zip_derived_cl58, plain, (( (c3_1 @ a398) | ~ (hskp23))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_52])).
% 11.27/2.20 thf('51', plain, (( (c3_1 @ a398)) | ~ ( (hskp23))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl58])).
% 11.27/2.20 thf(clause96, conjecture, (~( ( ~( hskp23 ) ) | ( ~( c2_1 @ a398 ) ) ))).
% 11.27/2.20 thf(zf_stmt_53, negated_conjecture, (( ~( hskp23 ) ) | ( ~( c2_1 @ a398 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause96])).
% 11.27/2.20 thf(zip_derived_cl95, plain, ((~ (hskp23) | ~ (c2_1 @ a398))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_53])).
% 11.27/2.20 thf('52', plain, (~ ( (c2_1 @ a398)) | ~ ( (hskp23))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl95])).
% 11.27/2.20 thf(clause157, conjecture,
% 11.27/2.20 (~( ( hskp19 ) | ( hskp2 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_54, negated_conjecture,
% 11.27/2.20 (( hskp19 ) | ( hskp2 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause157])).
% 11.27/2.20 thf(zip_derived_cl156, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp19)
% 11.27/2.20 | (hskp2)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_54])).
% 11.27/2.20 thf(zip_derived_cl564, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl156])).
% 11.27/2.20 thf(zip_derived_cl329, plain, (( (c1_1 @ a398)) <= (( (c1_1 @ a398)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl57])).
% 11.27/2.20 thf(zip_derived_cl1073, plain,
% 11.27/2.20 (((~ (c3_1 @ a398) | (c2_1 @ a398)))
% 11.27/2.20 <= (( (c1_1 @ a398)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl329])).
% 11.27/2.20 thf('53', plain,
% 11.27/2.20 (~ ( (c3_1 @ a398)) | ( (c2_1 @ a398)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c1_1 @ a398))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1073])).
% 11.27/2.20 thf(zip_derived_cl303, plain, (( (c1_1 @ a373)) <= (( (c1_1 @ a373)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl44])).
% 11.27/2.20 thf(zip_derived_cl576, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl159])).
% 11.27/2.20 thf(zip_derived_cl802, plain,
% 11.27/2.20 (((~ (c2_1 @ a373) | ~ (c3_1 @ a373)))
% 11.27/2.20 <= (( (c1_1 @ a373)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl576])).
% 11.27/2.20 thf('54', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a373)) | ~ ( (c1_1 @ a373)) | ~ ( (c3_1 @ a373))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl802])).
% 11.27/2.20 thf('55', plain, (( (c1_1 @ a373)) | ~ ( (hskp30))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl44])).
% 11.27/2.20 thf(clause46, conjecture, (~( ( c3_1 @ a373 ) | ( ~( hskp30 ) ) ))).
% 11.27/2.20 thf(zf_stmt_55, negated_conjecture, (( c3_1 @ a373 ) | ( ~( hskp30 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause46])).
% 11.27/2.20 thf(zip_derived_cl45, plain, (( (c3_1 @ a373) | ~ (hskp30))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_55])).
% 11.27/2.20 thf('56', plain, (( (c3_1 @ a373)) | ~ ( (hskp30))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl45])).
% 11.27/2.20 thf(zip_derived_cl564, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl156])).
% 11.27/2.20 thf(zip_derived_cl303, plain, (( (c1_1 @ a373)) <= (( (c1_1 @ a373)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl44])).
% 11.27/2.20 thf(zip_derived_cl1069, plain,
% 11.27/2.20 (((~ (c3_1 @ a373) | (c2_1 @ a373)))
% 11.27/2.20 <= (( (c1_1 @ a373)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl303])).
% 11.27/2.20 thf('57', plain,
% 11.27/2.20 (( (c2_1 @ a373)) | ~ ( (c1_1 @ a373)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a373))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1069])).
% 11.27/2.20 thf(clause155, conjecture,
% 11.27/2.20 (~( ( hskp23 ) | ( hskp30 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_56, negated_conjecture,
% 11.27/2.20 (( hskp23 ) | ( hskp30 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause155])).
% 11.27/2.20 thf(zip_derived_cl154, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp23)
% 11.27/2.20 | (hskp30)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_56])).
% 11.27/2.20 thf('58', plain,
% 11.27/2.20 (( (hskp30)) | ( (hskp23)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl154])).
% 11.27/2.20 thf(clause178, conjecture,
% 11.27/2.20 (~( ( hskp8 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_57, negated_conjecture,
% 11.27/2.20 (( hskp8 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause178])).
% 11.27/2.20 thf(zip_derived_cl177, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp8)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_57])).
% 11.27/2.20 thf('59', plain,
% 11.27/2.20 (( (hskp8)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl177])).
% 11.27/2.20 thf(zip_derived_cl556, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl154])).
% 11.27/2.20 thf(zip_derived_cl445, plain, ((~ (c1_1 @ a368)) <= (~ ( (c1_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl115])).
% 11.27/2.20 thf(zip_derived_cl1612, plain,
% 11.27/2.20 (((~ (c3_1 @ a368) | ~ (c2_1 @ a368)))
% 11.27/2.20 <= (~ ( (c1_1 @ a368)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl556, zip_derived_cl445])).
% 11.27/2.20 thf('60', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a368)) | ( (c1_1 @ a368)) | ~ ( (c2_1 @ a368))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1612])).
% 11.27/2.20 thf('61', plain, (~ ( (c1_1 @ a368)) | ~ ( (hskp11))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl115])).
% 11.27/2.20 thf(zip_derived_cl303, plain, (( (c1_1 @ a373)) <= (( (c1_1 @ a373)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl44])).
% 11.27/2.20 thf(zip_derived_cl579, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.20 thf(zip_derived_cl803, plain,
% 11.27/2.20 (((~ (c2_1 @ a373) | ~ (c0_1 @ a373)))
% 11.27/2.20 <= (( (c1_1 @ a373)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl579])).
% 11.27/2.20 thf('62', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a373)) | ~ ( (c0_1 @ a373)) | ~ ( (c1_1 @ a373))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl803])).
% 11.27/2.20 thf('63', plain, (( (c1_1 @ a372)) | ~ ( (hskp29))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl47])).
% 11.27/2.20 thf(zip_derived_cl309, plain, (( (c1_1 @ a372)) <= (( (c1_1 @ a372)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl47])).
% 11.27/2.20 thf(zip_derived_cl579, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.20 thf(zip_derived_cl847, plain,
% 11.27/2.20 (((~ (c2_1 @ a372) | ~ (c0_1 @ a372)))
% 11.27/2.20 <= (( (c1_1 @ a372)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl579])).
% 11.27/2.20 thf('64', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a372)) | ~ ( (c1_1 @ a372)) | ~ ( (c2_1 @ a372))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl847])).
% 11.27/2.20 thf(clause201, conjecture,
% 11.27/2.20 (~( ( c3_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) |
% 11.27/2.20 ( c1_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( c0_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_58, negated_conjecture,
% 11.27/2.20 (( c3_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) |
% 11.27/2.20 ( c1_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( c0_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause201])).
% 11.27/2.20 thf(zip_derived_cl200, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.27/2.20 ( (c3_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | (c1_1 @ X1)
% 11.27/2.20 | (c3_1 @ X2)
% 11.27/2.20 | (c2_1 @ X2)
% 11.27/2.20 | ~ (c0_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c1_1 @ X2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_58])).
% 11.27/2.20 thf('65', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 (![X1 : $i]: ( (c1_1 @ X1) | ~ (c0_1 @ X1) | (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c3_1 @ X1) | (c2_1 @ X1)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl200])).
% 11.27/2.20 thf(zip_derived_cl612, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl168])).
% 11.27/2.20 thf(zip_derived_cl552, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl153])).
% 11.27/2.20 thf(clause125, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c1_1 @ a360 ) ) ))).
% 11.27/2.20 thf(zf_stmt_59, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c1_1 @ a360 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause125])).
% 11.27/2.20 thf(zip_derived_cl124, plain, ((~ (hskp6) | ~ (c1_1 @ a360))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_59])).
% 11.27/2.20 thf(zip_derived_cl463, plain, ((~ (c1_1 @ a360)) <= (~ ( (c1_1 @ a360)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl124])).
% 11.27/2.20 thf(zip_derived_cl1574, plain,
% 11.27/2.20 (((~ (c0_1 @ a360) | ~ (c2_1 @ a360)))
% 11.27/2.20 <= (~ ( (c1_1 @ a360)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl463])).
% 11.27/2.20 thf(zip_derived_cl2149, plain, ((~ (c0_1 @ a360)) <= (~ ( (c0_1 @ a360)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1574])).
% 11.27/2.20 thf(zip_derived_cl2257, plain,
% 11.27/2.20 ((( (c3_1 @ a360) | (c2_1 @ a360)))
% 11.27/2.20 <= (~ ( (c0_1 @ a360)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)],
% 11.27/2.20 [zip_derived_cl612, zip_derived_cl2149])).
% 11.27/2.20 thf('66', plain,
% 11.27/2.20 (( (c0_1 @ a360)) | ( (c3_1 @ a360)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c2_1 @ a360))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2257])).
% 11.27/2.20 thf(clause39, conjecture, (~( ( hskp6 ) | ( hskp18 ) | ( hskp21 ) ))).
% 11.27/2.20 thf(zf_stmt_60, negated_conjecture, (( hskp6 ) | ( hskp18 ) | ( hskp21 )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause39])).
% 11.27/2.20 thf(zip_derived_cl38, plain, (( (hskp6) | (hskp18) | (hskp21))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_60])).
% 11.27/2.20 thf('67', plain, (( (hskp21)) | ( (hskp6)) | ( (hskp18))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl38])).
% 11.27/2.20 thf(clause152, conjecture,
% 11.27/2.20 (~( ( hskp15 ) | ( hskp2 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_61, negated_conjecture,
% 11.27/2.20 (( hskp15 ) | ( hskp2 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause152])).
% 11.27/2.20 thf(zip_derived_cl151, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp15)
% 11.27/2.20 | (hskp2)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c1_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_61])).
% 11.27/2.20 thf(zip_derived_cl544, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl151])).
% 11.27/2.20 thf(zip_derived_cl337, plain, (( (c1_1 @ a395)) <= (( (c1_1 @ a395)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl61])).
% 11.27/2.20 thf(zip_derived_cl1051, plain,
% 11.27/2.20 (((~ (c3_1 @ a395) | (c0_1 @ a395)))
% 11.27/2.20 <= (( (c1_1 @ a395)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl337])).
% 11.27/2.20 thf('68', plain,
% 11.27/2.20 (~ ( (c1_1 @ a395)) | ( (c0_1 @ a395)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a395))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1051])).
% 11.27/2.20 thf(zip_derived_cl612, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl168])).
% 11.27/2.20 thf(clause98, conjecture, (~( ( ~( hskp21 ) ) | ( ~( c0_1 @ a395 ) ) ))).
% 11.27/2.20 thf(zf_stmt_62, negated_conjecture, (( ~( hskp21 ) ) | ( ~( c0_1 @ a395 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause98])).
% 11.27/2.20 thf(zip_derived_cl97, plain, ((~ (hskp21) | ~ (c0_1 @ a395))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_62])).
% 11.27/2.20 thf(zip_derived_cl409, plain, ((~ (c0_1 @ a395)) <= (~ ( (c0_1 @ a395)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl97])).
% 11.27/2.20 thf(zip_derived_cl2239, plain,
% 11.27/2.20 ((( (c3_1 @ a395) | (c2_1 @ a395)))
% 11.27/2.20 <= (~ ( (c0_1 @ a395)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl409])).
% 11.27/2.20 thf('69', plain,
% 11.27/2.20 (( (c3_1 @ a395)) | ( (c2_1 @ a395)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a395))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2239])).
% 11.27/2.20 thf(clause174, conjecture,
% 11.27/2.20 (~( ( hskp3 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 11.27/2.20 ( c1_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_63, negated_conjecture,
% 11.27/2.20 (( hskp3 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause174])).
% 11.27/2.20 thf(zip_derived_cl173, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp3)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c1_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_63])).
% 11.27/2.20 thf('70', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp3)) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl173])).
% 11.27/2.20 thf(zip_derived_cl544, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl151])).
% 11.27/2.20 thf(clause60, conjecture, (~( ( c1_1 @ a397 ) | ( ~( hskp22 ) ) ))).
% 11.27/2.20 thf(zf_stmt_64, negated_conjecture, (( c1_1 @ a397 ) | ( ~( hskp22 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause60])).
% 11.27/2.20 thf(zip_derived_cl59, plain, (( (c1_1 @ a397) | ~ (hskp22))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_64])).
% 11.27/2.20 thf(zip_derived_cl333, plain, (( (c1_1 @ a397)) <= (( (c1_1 @ a397)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl59])).
% 11.27/2.20 thf(zip_derived_cl1050, plain,
% 11.27/2.20 (((~ (c3_1 @ a397) | (c0_1 @ a397)))
% 11.27/2.20 <= (( (c1_1 @ a397)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl333])).
% 11.27/2.20 thf('71', plain,
% 11.27/2.20 (~ ( (c3_1 @ a397)) | ~ ( (c1_1 @ a397)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a397))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1050])).
% 11.27/2.20 thf(clause64, conjecture, (~( ( c3_1 @ a382 ) | ( ~( hskp18 ) ) ))).
% 11.27/2.20 thf(zf_stmt_65, negated_conjecture, (( c3_1 @ a382 ) | ( ~( hskp18 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause64])).
% 11.27/2.20 thf(zip_derived_cl63, plain, (( (c3_1 @ a382) | ~ (hskp18))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_65])).
% 11.27/2.20 thf('72', plain, (~ ( (hskp18)) | ( (c3_1 @ a382))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl63])).
% 11.27/2.20 thf(clause105, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c0_1 @ a382 ) ) ))).
% 11.27/2.20 thf(zf_stmt_66, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c0_1 @ a382 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause105])).
% 11.27/2.20 thf(zip_derived_cl104, plain, ((~ (hskp18) | ~ (c0_1 @ a382))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_66])).
% 11.27/2.20 thf('73', plain, (~ ( (hskp18)) | ~ ( (c0_1 @ a382))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl104])).
% 11.27/2.20 thf(clause106, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c2_1 @ a382 ) ) ))).
% 11.27/2.20 thf(zf_stmt_67, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c2_1 @ a382 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause106])).
% 11.27/2.20 thf(zip_derived_cl105, plain, ((~ (hskp18) | ~ (c2_1 @ a382))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_67])).
% 11.27/2.20 thf('74', plain, (~ ( (hskp18)) | ~ ( (c2_1 @ a382))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl105])).
% 11.27/2.20 thf(clause139, conjecture,
% 11.27/2.20 (~( ( hskp17 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_68, negated_conjecture,
% 11.27/2.20 (( hskp17 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause139])).
% 11.27/2.20 thf(zip_derived_cl138, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp17) | (c2_1 @ X0) | (c0_1 @ X0) | ~ (ndr1_0) | ~ (c3_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_68])).
% 11.27/2.20 thf(zip_derived_cl495, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl138])).
% 11.27/2.20 thf(zip_derived_cl423, plain, ((~ (c0_1 @ a382)) <= (~ ( (c0_1 @ a382)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl104])).
% 11.27/2.20 thf(zip_derived_cl1251, plain,
% 11.27/2.20 (((~ (c3_1 @ a382) | (c2_1 @ a382)))
% 11.27/2.20 <= (~ ( (c0_1 @ a382)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl495, zip_derived_cl423])).
% 11.27/2.20 thf('75', plain,
% 11.27/2.20 (( (c0_1 @ a382)) | ( (c2_1 @ a382)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a382))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1251])).
% 11.27/2.20 thf(zip_derived_cl683, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl186])).
% 11.27/2.20 thf(clause65, conjecture, (~( ( c0_1 @ a380 ) | ( ~( hskp17 ) ) ))).
% 11.27/2.20 thf(zf_stmt_69, negated_conjecture, (( c0_1 @ a380 ) | ( ~( hskp17 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause65])).
% 11.27/2.20 thf(zip_derived_cl64, plain, (( (c0_1 @ a380) | ~ (hskp17))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_69])).
% 11.27/2.20 thf(zip_derived_cl343, plain, (( (c0_1 @ a380)) <= (( (c0_1 @ a380)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl64])).
% 11.27/2.20 thf(zip_derived_cl1281, plain,
% 11.27/2.20 (((~ (c2_1 @ a380) | (c3_1 @ a380)))
% 11.27/2.20 <= (( (c0_1 @ a380)) &
% 11.27/2.20 (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl343])).
% 11.27/2.20 thf('76', plain,
% 11.27/2.20 (~ ( (c2_1 @ a380)) | ( (c3_1 @ a380)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (c0_1 @ a380))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1281])).
% 11.27/2.20 thf(clause179, conjecture,
% 11.27/2.20 (~( ( hskp13 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_70, negated_conjecture,
% 11.27/2.20 (( hskp13 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause179])).
% 11.27/2.20 thf(zip_derived_cl178, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp13)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_70])).
% 11.27/2.20 thf('77', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp13)) | ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl178])).
% 11.27/2.20 thf(clause114, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c3_1 @ a370 ) ) ))).
% 11.27/2.20 thf(zf_stmt_71, negated_conjecture, (( ~( hskp13 ) ) | ( ~( c3_1 @ a370 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause114])).
% 11.27/2.20 thf(zip_derived_cl113, plain, ((~ (hskp13) | ~ (c3_1 @ a370))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_71])).
% 11.27/2.20 thf('78', plain, (~ ( (hskp13)) | ~ ( (c3_1 @ a370))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl113])).
% 11.27/2.20 thf(zip_derived_cl683, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl186])).
% 11.27/2.20 thf(clause70, conjecture, (~( ( c0_1 @ a370 ) | ( ~( hskp13 ) ) ))).
% 11.27/2.20 thf(zf_stmt_72, negated_conjecture, (( c0_1 @ a370 ) | ( ~( hskp13 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause70])).
% 11.27/2.20 thf(zip_derived_cl69, plain, (( (c0_1 @ a370) | ~ (hskp13))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_72])).
% 11.27/2.20 thf(zip_derived_cl353, plain, (( (c0_1 @ a370)) <= (( (c0_1 @ a370)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl69])).
% 11.27/2.20 thf(zip_derived_cl1283, plain,
% 11.27/2.20 (((~ (c2_1 @ a370) | (c3_1 @ a370)))
% 11.27/2.20 <= (( (c0_1 @ a370)) &
% 11.27/2.20 (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl353])).
% 11.27/2.20 thf('79', plain,
% 11.27/2.20 (( (c3_1 @ a370)) | ~ ( (c2_1 @ a370)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (c0_1 @ a370))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1283])).
% 11.27/2.20 thf(clause206, conjecture,
% 11.27/2.20 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( ~( c2_1 @ W ) ) |
% 11.27/2.20 ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_73, negated_conjecture,
% 11.27/2.20 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( ~( c2_1 @ W ) ) |
% 11.27/2.20 ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause206])).
% 11.27/2.20 thf(zip_derived_cl205, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.27/2.20 ( (c3_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X2)
% 11.27/2.20 | ~ (c2_1 @ X2)
% 11.27/2.20 | ~ (c1_1 @ X2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_73])).
% 11.27/2.20 thf('80', plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c0_1 @ X1) | (c3_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl205])).
% 11.27/2.20 thf(zip_derived_cl623, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl171])).
% 11.27/2.20 thf(zip_derived_cl333, plain, (( (c1_1 @ a397)) <= (( (c1_1 @ a397)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl59])).
% 11.27/2.20 thf(zip_derived_cl1879, plain,
% 11.27/2.20 ((( (c3_1 @ a397) | (c0_1 @ a397)))
% 11.27/2.20 <= (( (c1_1 @ a397)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl333])).
% 11.27/2.20 thf('81', plain,
% 11.27/2.20 (( (c3_1 @ a397)) | ( (c0_1 @ a397)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (c1_1 @ a397))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1879])).
% 11.27/2.20 thf('82', plain, (( (c1_1 @ a397)) | ~ ( (hskp22))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl59])).
% 11.27/2.20 thf(clause61, conjecture, (~( ( c2_1 @ a397 ) | ( ~( hskp22 ) ) ))).
% 11.27/2.20 thf(zf_stmt_74, negated_conjecture, (( c2_1 @ a397 ) | ( ~( hskp22 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause61])).
% 11.27/2.20 thf(zip_derived_cl60, plain, (( (c2_1 @ a397) | ~ (hskp22))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_74])).
% 11.27/2.20 thf('83', plain, (( (c2_1 @ a397)) | ~ ( (hskp22))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl60])).
% 11.27/2.20 thf(clause97, conjecture, (~( ( ~( hskp22 ) ) | ( ~( c0_1 @ a397 ) ) ))).
% 11.27/2.20 thf(zf_stmt_75, negated_conjecture, (( ~( hskp22 ) ) | ( ~( c0_1 @ a397 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause97])).
% 11.27/2.20 thf(zip_derived_cl96, plain, ((~ (hskp22) | ~ (c0_1 @ a397))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_75])).
% 11.27/2.20 thf('84', plain, (~ ( (c0_1 @ a397)) | ~ ( (hskp22))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl96])).
% 11.27/2.20 thf('85', plain,
% 11.27/2.20 (( (hskp22)) | ( (hskp20)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.20 thf(zip_derived_cl544, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl151])).
% 11.27/2.20 thf(zip_derived_cl339, plain, (( (c1_1 @ a388)) <= (( (c1_1 @ a388)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl62])).
% 11.27/2.20 thf(zip_derived_cl1052, plain,
% 11.27/2.20 (((~ (c3_1 @ a388) | (c0_1 @ a388)))
% 11.27/2.20 <= (( (c1_1 @ a388)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl339])).
% 11.27/2.20 thf(zip_derived_cl1974, plain, (( (c0_1 @ a388)) <= (( (c0_1 @ a388)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1052])).
% 11.27/2.20 thf(clause140, conjecture,
% 11.27/2.20 (~( ( hskp26 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_76, negated_conjecture,
% 11.27/2.20 (( hskp26 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause140])).
% 11.27/2.20 thf(zip_derived_cl139, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp26) | (c3_1 @ X0) | (c2_1 @ X0) | ~ (ndr1_0) | ~ (c0_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_76])).
% 11.27/2.20 thf(zip_derived_cl498, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl139])).
% 11.27/2.20 thf(zip_derived_cl1976, plain,
% 11.27/2.20 ((( (c2_1 @ a388) | (c3_1 @ a388)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) &
% 11.27/2.20 ( (c0_1 @ a388)))),
% 11.27/2.20 inference('s_sup-', [status(thm)],
% 11.27/2.20 [zip_derived_cl1974, zip_derived_cl498])).
% 11.27/2.20 thf('86', plain,
% 11.27/2.20 (~ ( (c0_1 @ a388)) | ( (c2_1 @ a388)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c3_1 @ a388))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1976])).
% 11.27/2.20 thf('87', plain, (( (c1_1 @ a388)) | ~ ( (hskp20))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl62])).
% 11.27/2.20 thf(clause100, conjecture, (~( ( ~( hskp20 ) ) | ( ~( c2_1 @ a388 ) ) ))).
% 11.27/2.20 thf(zf_stmt_77, negated_conjecture, (( ~( hskp20 ) ) | ( ~( c2_1 @ a388 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause100])).
% 11.27/2.20 thf(zip_derived_cl99, plain, ((~ (hskp20) | ~ (c2_1 @ a388))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_77])).
% 11.27/2.20 thf('88', plain, (~ ( (c2_1 @ a388)) | ~ ( (hskp20))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl99])).
% 11.27/2.20 thf(clause101, conjecture, (~( ( ~( hskp20 ) ) | ( ~( c3_1 @ a388 ) ) ))).
% 11.27/2.20 thf(zf_stmt_78, negated_conjecture, (( ~( hskp20 ) ) | ( ~( c3_1 @ a388 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause101])).
% 11.27/2.20 thf(zip_derived_cl100, plain, ((~ (hskp20) | ~ (c3_1 @ a388))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_78])).
% 11.27/2.20 thf('89', plain, (~ ( (c3_1 @ a388)) | ~ ( (hskp20))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl100])).
% 11.27/2.20 thf(zip_derived_cl623, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl171])).
% 11.27/2.20 thf(zip_derived_cl339, plain, (( (c1_1 @ a388)) <= (( (c1_1 @ a388)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl62])).
% 11.27/2.20 thf(zip_derived_cl1881, plain,
% 11.27/2.20 ((( (c3_1 @ a388) | (c0_1 @ a388)))
% 11.27/2.20 <= (( (c1_1 @ a388)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl339])).
% 11.27/2.20 thf('90', plain,
% 11.27/2.20 (( (c0_1 @ a388)) | ~ ( (c1_1 @ a388)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ( (c3_1 @ a388))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1881])).
% 11.27/2.20 thf(clause83, conjecture, (~( ( c0_1 @ a356 ) | ( ~( hskp2 ) ) ))).
% 11.27/2.20 thf(zf_stmt_79, negated_conjecture, (( c0_1 @ a356 ) | ( ~( hskp2 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause83])).
% 11.27/2.20 thf(zip_derived_cl82, plain, (( (c0_1 @ a356) | ~ (hskp2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_79])).
% 11.27/2.20 thf('91', plain, (( (c0_1 @ a356)) | ~ ( (hskp2))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl82])).
% 11.27/2.20 thf(clause84, conjecture, (~( ( c2_1 @ a356 ) | ( ~( hskp2 ) ) ))).
% 11.27/2.20 thf(zf_stmt_80, negated_conjecture, (( c2_1 @ a356 ) | ( ~( hskp2 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause84])).
% 11.27/2.20 thf(zip_derived_cl83, plain, (( (c2_1 @ a356) | ~ (hskp2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_80])).
% 11.27/2.20 thf('92', plain, (( (c2_1 @ a356)) | ~ ( (hskp2))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl83])).
% 11.27/2.20 thf(clause134, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c1_1 @ a356 ) ) ))).
% 11.27/2.20 thf(zf_stmt_81, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c1_1 @ a356 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause134])).
% 11.27/2.20 thf(zip_derived_cl133, plain, ((~ (hskp2) | ~ (c1_1 @ a356))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_81])).
% 11.27/2.20 thf('93', plain, (~ ( (c1_1 @ a356)) | ~ ( (hskp2))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl133])).
% 11.27/2.20 thf(zip_derived_cl552, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl153])).
% 11.27/2.20 thf(zip_derived_cl481, plain, ((~ (c1_1 @ a356)) <= (~ ( (c1_1 @ a356)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl133])).
% 11.27/2.20 thf(zip_derived_cl1571, plain,
% 11.27/2.20 (((~ (c0_1 @ a356) | ~ (c2_1 @ a356)))
% 11.27/2.20 <= (~ ( (c1_1 @ a356)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl481])).
% 11.27/2.20 thf('94', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a356)) | ( (c1_1 @ a356)) | ~ ( (c0_1 @ a356))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1571])).
% 11.27/2.20 thf(clause176, conjecture,
% 11.27/2.20 (~( ( hskp2 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_82, negated_conjecture,
% 11.27/2.20 (( hskp2 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause176])).
% 11.27/2.20 thf(zip_derived_cl175, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp2)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_82])).
% 11.27/2.20 thf('95', plain,
% 11.27/2.20 (( (hskp2)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl175])).
% 11.27/2.20 thf(zip_derived_cl333, plain, (( (c1_1 @ a397)) <= (( (c1_1 @ a397)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl59])).
% 11.27/2.20 thf(zip_derived_cl576, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl159])).
% 11.27/2.20 thf(zip_derived_cl927, plain,
% 11.27/2.20 (((~ (c2_1 @ a397) | ~ (c3_1 @ a397)))
% 11.27/2.20 <= (( (c1_1 @ a397)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl333, zip_derived_cl576])).
% 11.27/2.20 thf('96', plain,
% 11.27/2.20 (~ ( (c3_1 @ a397)) | ~ ( (c2_1 @ a397)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c1_1 @ a397))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl927])).
% 11.27/2.20 thf(zip_derived_cl505, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl141])).
% 11.27/2.20 thf(zip_derived_cl337, plain, (( (c1_1 @ a395)) <= (( (c1_1 @ a395)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl61])).
% 11.27/2.20 thf(zip_derived_cl1443, plain,
% 11.27/2.20 ((( (c0_1 @ a395) | (c2_1 @ a395)))
% 11.27/2.20 <= (( (c1_1 @ a395)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl337])).
% 11.27/2.20 thf('97', plain,
% 11.27/2.20 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a395)) | ( (c2_1 @ a395)) | ~ ( (c1_1 @ a395))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1443])).
% 11.27/2.20 thf(zip_derived_cl564, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl156])).
% 11.27/2.20 thf(clause88, conjecture, (~( ( c1_1 @ a353 ) | ( ~( hskp0 ) ) ))).
% 11.27/2.20 thf(zf_stmt_83, negated_conjecture, (( c1_1 @ a353 ) | ( ~( hskp0 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause88])).
% 11.27/2.20 thf(zip_derived_cl87, plain, (( (c1_1 @ a353) | ~ (hskp0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_83])).
% 11.27/2.20 thf(zip_derived_cl389, plain, (( (c1_1 @ a353)) <= (( (c1_1 @ a353)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl87])).
% 11.27/2.20 thf(zip_derived_cl1080, plain,
% 11.27/2.20 (((~ (c3_1 @ a353) | (c2_1 @ a353)))
% 11.27/2.20 <= (( (c1_1 @ a353)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl389])).
% 11.27/2.20 thf('98', plain,
% 11.27/2.20 (~ ( (c3_1 @ a353)) | ( (c2_1 @ a353)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c1_1 @ a353))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1080])).
% 11.27/2.20 thf('99', plain, (( (c1_1 @ a395)) | ~ ( (hskp21))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl61])).
% 11.27/2.20 thf('100', plain, (~ ( (c0_1 @ a395)) | ~ ( (hskp21))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl97])).
% 11.27/2.20 thf(clause99, conjecture, (~( ( ~( hskp21 ) ) | ( ~( c2_1 @ a395 ) ) ))).
% 11.27/2.20 thf(zf_stmt_84, negated_conjecture, (( ~( hskp21 ) ) | ( ~( c2_1 @ a395 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause99])).
% 11.27/2.20 thf(zip_derived_cl98, plain, ((~ (hskp21) | ~ (c2_1 @ a395))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_84])).
% 11.27/2.20 thf('101', plain, (~ ( (c2_1 @ a395)) | ~ ( (hskp21))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl98])).
% 11.27/2.20 thf(clause153, conjecture,
% 11.27/2.20 (~( ( hskp4 ) | ( hskp21 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_85, negated_conjecture,
% 11.27/2.20 (( hskp4 ) | ( hskp21 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause153])).
% 11.27/2.20 thf(zip_derived_cl152, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp4)
% 11.27/2.20 | (hskp21)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_85])).
% 11.27/2.20 thf('102', plain,
% 11.27/2.20 (( (hskp4)) | ( (hskp21)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl152])).
% 11.27/2.20 thf(zip_derived_cl521, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl145])).
% 11.27/2.20 thf(clause133, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c0_1 @ a357 ) ) ))).
% 11.27/2.20 thf(zf_stmt_86, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c0_1 @ a357 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause133])).
% 11.27/2.20 thf(zip_derived_cl132, plain, ((~ (hskp3) | ~ (c0_1 @ a357))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_86])).
% 11.27/2.20 thf(zip_derived_cl479, plain, ((~ (c0_1 @ a357)) <= (~ ( (c0_1 @ a357)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl132])).
% 11.27/2.20 thf(zip_derived_cl1532, plain,
% 11.27/2.20 (((~ (c3_1 @ a357) | ~ (c2_1 @ a357)))
% 11.27/2.20 <= (~ ( (c0_1 @ a357)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl521, zip_derived_cl479])).
% 11.27/2.20 thf('103', plain,
% 11.27/2.20 (~ ( (c2_1 @ a357)) | ( (c0_1 @ a357)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1532])).
% 11.27/2.20 thf(clause170, conjecture,
% 11.27/2.20 (~( ( hskp0 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 11.27/2.20 ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_87, negated_conjecture,
% 11.27/2.20 (( hskp0 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause170])).
% 11.27/2.20 thf(zip_derived_cl169, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp0)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_87])).
% 11.27/2.20 thf(zip_derived_cl615, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | ~ (c2_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl169])).
% 11.27/2.20 thf(zip_derived_cl375, plain, (( (c1_1 @ a357)) <= (( (c1_1 @ a357)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl80])).
% 11.27/2.20 thf(zip_derived_cl1170, plain,
% 11.27/2.20 (((~ (c2_1 @ a357) | (c0_1 @ a357)))
% 11.27/2.20 <= (( (c1_1 @ a357)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | ~ (c2_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl615, zip_derived_cl375])).
% 11.27/2.20 thf('104', plain,
% 11.27/2.20 (~ (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | ~ (c2_1 @ X1))) |
% 11.27/2.20 ~ ( (c2_1 @ a357)) | ( (c0_1 @ a357)) | ~ ( (c1_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1170])).
% 11.27/2.20 thf(zip_derived_cl389, plain, (( (c1_1 @ a353)) <= (( (c1_1 @ a353)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl87])).
% 11.27/2.20 thf(zip_derived_cl583, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl161])).
% 11.27/2.20 thf(zip_derived_cl1041, plain,
% 11.27/2.20 (((~ (c0_1 @ a353) | ~ (c3_1 @ a353)))
% 11.27/2.20 <= (( (c1_1 @ a353)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl389, zip_derived_cl583])).
% 11.27/2.20 thf('105', plain,
% 11.27/2.20 (~ ( (c3_1 @ a353)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c1_1 @ a353)) | ~ ( (c0_1 @ a353))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1041])).
% 11.27/2.20 thf(clause87, conjecture, (~( ( c0_1 @ a353 ) | ( ~( hskp0 ) ) ))).
% 11.27/2.20 thf(zf_stmt_88, negated_conjecture, (( c0_1 @ a353 ) | ( ~( hskp0 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause87])).
% 11.27/2.20 thf(zip_derived_cl86, plain, (( (c0_1 @ a353) | ~ (hskp0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_88])).
% 11.27/2.20 thf('106', plain, (( (c0_1 @ a353)) | ~ ( (hskp0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl86])).
% 11.27/2.20 thf('107', plain, (( (c1_1 @ a353)) | ~ ( (hskp0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl87])).
% 11.27/2.20 thf(clause136, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c2_1 @ a353 ) ) ))).
% 11.27/2.20 thf(zf_stmt_89, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c2_1 @ a353 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause136])).
% 11.27/2.20 thf(zip_derived_cl135, plain, ((~ (hskp0) | ~ (c2_1 @ a353))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_89])).
% 11.27/2.20 thf('108', plain, (~ ( (c2_1 @ a353)) | ~ ( (hskp0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl135])).
% 11.27/2.20 thf('109', plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) | ( (hskp0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl145])).
% 11.27/2.20 thf(zip_derived_cl587, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl162])).
% 11.27/2.20 thf(zip_derived_cl521, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl145])).
% 11.27/2.20 thf(zip_derived_cl1537, plain,
% 11.27/2.20 ((![X0 : $i]:
% 11.27/2.20 (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl587, zip_derived_cl521])).
% 11.27/2.20 thf(zip_derived_cl1548, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('simplify', [status(thm)], [zip_derived_cl1537])).
% 11.27/2.20 thf(clause75, conjecture, (~( ( c3_1 @ a368 ) | ( ~( hskp11 ) ) ))).
% 11.27/2.20 thf(zf_stmt_90, negated_conjecture, (( c3_1 @ a368 ) | ( ~( hskp11 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause75])).
% 11.27/2.20 thf(zip_derived_cl74, plain, (( (c3_1 @ a368) | ~ (hskp11))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_90])).
% 11.27/2.20 thf(zip_derived_cl363, plain, (( (c3_1 @ a368)) <= (( (c3_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl74])).
% 11.27/2.20 thf(zip_derived_cl2395, plain,
% 11.27/2.20 ((~ (c2_1 @ a368))
% 11.27/2.20 <= (( (c3_1 @ a368)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl1548, zip_derived_cl363])).
% 11.27/2.20 thf(clause74, conjecture, (~( ( c2_1 @ a368 ) | ( ~( hskp11 ) ) ))).
% 11.27/2.20 thf(zf_stmt_91, negated_conjecture, (( c2_1 @ a368 ) | ( ~( hskp11 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause74])).
% 11.27/2.20 thf(zip_derived_cl73, plain, (( (c2_1 @ a368) | ~ (hskp11))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_91])).
% 11.27/2.20 thf(zip_derived_cl361, plain, (( (c2_1 @ a368)) <= (( (c2_1 @ a368)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl73])).
% 11.27/2.20 thf('110', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a368)) | ~ ( (c2_1 @ a368))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl2395, zip_derived_cl361])).
% 11.27/2.20 thf(clause190, conjecture,
% 11.27/2.20 (~( ( hskp4 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_92, negated_conjecture,
% 11.27/2.20 (( hskp4 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause190])).
% 11.27/2.20 thf(zip_derived_cl189, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp4)
% 11.27/2.20 | (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X1)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_92])).
% 11.27/2.20 thf('111', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp4)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl189])).
% 11.27/2.20 thf(clause207, conjecture,
% 11.27/2.20 (~( ( c2_1 @ W ) | ( c0_1 @ W ) | ( ~( c3_1 @ W ) ) | ( ~( c2_1 @ V ) ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_93, negated_conjecture,
% 11.27/2.20 (( c2_1 @ W ) | ( c0_1 @ W ) | ( ~( c3_1 @ W ) ) | ( ~( c2_1 @ V ) ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause207])).
% 11.27/2.20 thf(zip_derived_cl206, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.27/2.20 ( (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | ~ (c3_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X2)
% 11.27/2.20 | ~ (c1_1 @ X2)
% 11.27/2.20 | ~ (c0_1 @ X2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_93])).
% 11.27/2.20 thf('112', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl206])).
% 11.27/2.20 thf(zip_derived_cl498, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl139])).
% 11.27/2.20 thf(zip_derived_cl387, plain, (( (c0_1 @ a353)) <= (( (c0_1 @ a353)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl86])).
% 11.27/2.20 thf(zip_derived_cl1323, plain,
% 11.27/2.20 ((( (c3_1 @ a353) | (c2_1 @ a353)))
% 11.27/2.20 <= (( (c0_1 @ a353)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl498, zip_derived_cl387])).
% 11.27/2.20 thf('113', plain,
% 11.27/2.20 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c3_1 @ a353)) | ~ ( (c0_1 @ a353)) | ( (c2_1 @ a353))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1323])).
% 11.27/2.20 thf('114', plain, (( (c2_1 @ a368)) | ~ ( (hskp11))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl73])).
% 11.27/2.20 thf('115', plain, (( (c3_1 @ a368)) | ~ ( (hskp11))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl74])).
% 11.27/2.20 thf(zip_derived_cl505, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl141])).
% 11.27/2.20 thf(clause57, conjecture, (~( ( c1_1 @ a399 ) | ( ~( hskp24 ) ) ))).
% 11.27/2.20 thf(zf_stmt_94, negated_conjecture, (( c1_1 @ a399 ) | ( ~( hskp24 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause57])).
% 11.27/2.20 thf(zip_derived_cl56, plain, (( (c1_1 @ a399) | ~ (hskp24))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_94])).
% 11.27/2.20 thf(zip_derived_cl327, plain, (( (c1_1 @ a399)) <= (( (c1_1 @ a399)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl56])).
% 11.27/2.20 thf(zip_derived_cl1440, plain,
% 11.27/2.20 ((( (c0_1 @ a399) | (c2_1 @ a399)))
% 11.27/2.20 <= (( (c1_1 @ a399)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl327])).
% 11.27/2.20 thf('116', plain,
% 11.27/2.20 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (c2_1 @ a399)) | ( (c0_1 @ a399)) | ~ ( (c1_1 @ a399))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1440])).
% 11.27/2.20 thf(zip_derived_cl623, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl171])).
% 11.27/2.20 thf(zip_derived_cl327, plain, (( (c1_1 @ a399)) <= (( (c1_1 @ a399)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl56])).
% 11.27/2.20 thf(zip_derived_cl1877, plain,
% 11.27/2.20 ((( (c3_1 @ a399) | (c0_1 @ a399)))
% 11.27/2.20 <= (( (c1_1 @ a399)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl327])).
% 11.27/2.20 thf('117', plain,
% 11.27/2.20 (~ (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (c1_1 @ a399)) | ( (c0_1 @ a399)) | ( (c3_1 @ a399))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1877])).
% 11.27/2.20 thf(zip_derived_cl517, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl144])).
% 11.27/2.20 thf(clause94, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c0_1 @ a399 ) ) ))).
% 11.27/2.20 thf(zf_stmt_95, negated_conjecture, (( ~( hskp24 ) ) | ( ~( c0_1 @ a399 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause94])).
% 11.27/2.20 thf(zip_derived_cl93, plain, ((~ (hskp24) | ~ (c0_1 @ a399))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_95])).
% 11.27/2.20 thf(zip_derived_cl401, plain, ((~ (c0_1 @ a399)) <= (~ ( (c0_1 @ a399)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl93])).
% 11.27/2.20 thf(zip_derived_cl1683, plain,
% 11.27/2.20 ((( (c3_1 @ a399) | ~ (c2_1 @ a399)))
% 11.27/2.20 <= (~ ( (c0_1 @ a399)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl401])).
% 11.27/2.20 thf('118', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a399)) | ( (c0_1 @ a399)) | ( (c3_1 @ a399))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1683])).
% 11.27/2.20 thf('119', plain, (( (c1_1 @ a399)) | ~ ( (hskp24))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl56])).
% 11.27/2.20 thf('120', plain, (~ ( (c0_1 @ a399)) | ~ ( (hskp24))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl93])).
% 11.27/2.20 thf(clause95, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c3_1 @ a399 ) ) ))).
% 11.27/2.20 thf(zf_stmt_96, negated_conjecture, (( ~( hskp24 ) ) | ( ~( c3_1 @ a399 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause95])).
% 11.27/2.20 thf(zip_derived_cl94, plain, ((~ (hskp24) | ~ (c3_1 @ a399))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_96])).
% 11.27/2.20 thf('121', plain, (~ ( (c3_1 @ a399)) | ~ ( (hskp24))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl94])).
% 11.27/2.20 thf(clause27, conjecture, (~( ( ndr1_0 ) | ( ~( hskp6 ) ) ))).
% 11.27/2.20 thf(zf_stmt_97, negated_conjecture, (( ndr1_0 ) | ( ~( hskp6 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause27])).
% 11.27/2.20 thf(zip_derived_cl26, plain, (( (ndr1_0) | ~ (hskp6))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_97])).
% 11.27/2.20 thf('122', plain, (~ ( (hskp6)) | ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl26])).
% 11.27/2.20 thf(clause40, conjecture, (~( ( hskp4 ) | ( hskp11 ) | ( hskp24 ) ))).
% 11.27/2.20 thf(zf_stmt_98, negated_conjecture, (( hskp4 ) | ( hskp11 ) | ( hskp24 )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause40])).
% 11.27/2.20 thf(zip_derived_cl39, plain, (( (hskp4) | (hskp11) | (hskp24))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_98])).
% 11.27/2.20 thf('123', plain, (( (hskp11)) | ( (hskp24)) | ( (hskp4))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl39])).
% 11.27/2.20 thf('124', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (hskp4)) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl171])).
% 11.27/2.20 thf(clause202, conjecture,
% 11.27/2.20 (~( ( c2_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ W ) ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_99, negated_conjecture,
% 11.27/2.20 (( c2_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ W ) ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause202])).
% 11.27/2.20 thf(zip_derived_cl201, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.27/2.20 ( (c2_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | (c2_1 @ X2)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X1)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X2)
% 11.27/2.20 | ~ (c1_1 @ X2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_99])).
% 11.27/2.20 thf('125', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | ~ (c2_1 @ X1)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl201])).
% 11.27/2.20 thf('126', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a365)) | ~ ( (c2_1 @ a365)) | ~ ( (c1_1 @ a365))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl874])).
% 11.27/2.20 thf(zip_derived_cl313, plain, (( (c1_1 @ a365)) <= (( (c1_1 @ a365)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl49])).
% 11.27/2.20 thf(zip_derived_cl576, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl159])).
% 11.27/2.20 thf(zip_derived_cl873, plain,
% 11.27/2.20 (((~ (c2_1 @ a365) | ~ (c3_1 @ a365)))
% 11.27/2.20 <= (( (c1_1 @ a365)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl313, zip_derived_cl576])).
% 11.27/2.20 thf('127', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c1_1 @ a365)) | ~ ( (c2_1 @ a365)) | ~ ( (c3_1 @ a365))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl873])).
% 11.27/2.20 thf('128', plain, (( (c1_1 @ a365)) | ~ ( (hskp28))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl49])).
% 11.27/2.20 thf(clause51, conjecture, (~( ( c2_1 @ a365 ) | ( ~( hskp28 ) ) ))).
% 11.27/2.20 thf(zf_stmt_100, negated_conjecture, (( c2_1 @ a365 ) | ( ~( hskp28 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause51])).
% 11.27/2.20 thf(zip_derived_cl50, plain, (( (c2_1 @ a365) | ~ (hskp28))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_100])).
% 11.27/2.20 thf('129', plain, (( (c2_1 @ a365)) | ~ ( (hskp28))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl50])).
% 11.27/2.20 thf(clause52, conjecture, (~( ( c3_1 @ a365 ) | ( ~( hskp28 ) ) ))).
% 11.27/2.20 thf(zf_stmt_101, negated_conjecture, (( c3_1 @ a365 ) | ( ~( hskp28 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause52])).
% 11.27/2.20 thf(zip_derived_cl51, plain, (( (c3_1 @ a365) | ~ (hskp28))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_101])).
% 11.27/2.20 thf('130', plain, (( (c3_1 @ a365)) | ~ ( (hskp28))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl51])).
% 11.27/2.20 thf(clause199, conjecture,
% 11.27/2.20 (~( ( c2_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 11.27/2.20 ( c2_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_102, negated_conjecture,
% 11.27/2.20 (( c2_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 11.27/2.20 ( c2_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause199])).
% 11.27/2.20 thf(zip_derived_cl198, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.27/2.20 ( (c2_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c3_1 @ X1)
% 11.27/2.20 | (c2_1 @ X1)
% 11.27/2.20 | (c0_1 @ X1)
% 11.27/2.20 | (c2_1 @ X2)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c3_1 @ X2)
% 11.27/2.20 | ~ (c0_1 @ X2))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_102])).
% 11.27/2.20 thf(zip_derived_cl731, plain,
% 11.27/2.20 ((![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2)))
% 11.27/2.20 <= ((![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl198])).
% 11.27/2.20 thf(clause68, conjecture, (~( ( c0_1 @ a376 ) | ( ~( hskp15 ) ) ))).
% 11.27/2.20 thf(zf_stmt_103, negated_conjecture, (( c0_1 @ a376 ) | ( ~( hskp15 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause68])).
% 11.27/2.20 thf(zip_derived_cl67, plain, (( (c0_1 @ a376) | ~ (hskp15))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_103])).
% 11.27/2.20 thf(zip_derived_cl349, plain, (( (c0_1 @ a376)) <= (( (c0_1 @ a376)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl67])).
% 11.27/2.20 thf(zip_derived_cl1350, plain,
% 11.27/2.20 (((~ (c3_1 @ a376) | (c2_1 @ a376)))
% 11.27/2.20 <= (( (c0_1 @ a376)) &
% 11.27/2.20 (![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl731, zip_derived_cl349])).
% 11.27/2.20 thf('131', plain,
% 11.27/2.20 (~ ( (c3_1 @ a376)) |
% 11.27/2.20 ~ (![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))) |
% 11.27/2.20 ( (c2_1 @ a376)) | ~ ( (c0_1 @ a376))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1350])).
% 11.27/2.20 thf('132', plain, (( (c0_1 @ a376)) | ~ ( (hskp15))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl67])).
% 11.27/2.20 thf(clause111, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c2_1 @ a376 ) ) ))).
% 11.27/2.20 thf(zf_stmt_104, negated_conjecture,
% 11.27/2.20 (( ~( hskp15 ) ) | ( ~( c2_1 @ a376 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause111])).
% 11.27/2.20 thf(zip_derived_cl110, plain, ((~ (hskp15) | ~ (c2_1 @ a376))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_104])).
% 11.27/2.20 thf('133', plain, (~ ( (c2_1 @ a376)) | ~ ( (hskp15))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl110])).
% 11.27/2.20 thf('134', plain, (( (c0_1 @ a372)) | ~ ( (hskp29))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl46])).
% 11.27/2.20 thf(clause49, conjecture, (~( ( c2_1 @ a372 ) | ( ~( hskp29 ) ) ))).
% 11.27/2.20 thf(zf_stmt_105, negated_conjecture, (( c2_1 @ a372 ) | ( ~( hskp29 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause49])).
% 11.27/2.20 thf(zip_derived_cl48, plain, (( (c2_1 @ a372) | ~ (hskp29))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_105])).
% 11.27/2.20 thf('135', plain, (( (c2_1 @ a372)) | ~ ( (hskp29))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl48])).
% 11.27/2.20 thf(clause34, conjecture, (~( ( hskp15 ) | ( hskp13 ) | ( hskp29 ) ))).
% 11.27/2.20 thf(zf_stmt_106, negated_conjecture, (( hskp15 ) | ( hskp13 ) | ( hskp29 )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause34])).
% 11.27/2.20 thf(zip_derived_cl33, plain, (( (hskp15) | (hskp13) | (hskp29))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_106])).
% 11.27/2.20 thf('136', plain, (( (hskp15)) | ( (hskp29)) | ( (hskp13))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl33])).
% 11.27/2.20 thf('137', plain, (( (c0_1 @ a370)) | ~ ( (hskp13))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl69])).
% 11.27/2.20 thf(clause71, conjecture, (~( ( c2_1 @ a370 ) | ( ~( hskp13 ) ) ))).
% 11.27/2.20 thf(zf_stmt_107, negated_conjecture, (( c2_1 @ a370 ) | ( ~( hskp13 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause71])).
% 11.27/2.20 thf(zip_derived_cl70, plain, (( (c2_1 @ a370) | ~ (hskp13))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_107])).
% 11.27/2.20 thf('138', plain, (( (c2_1 @ a370)) | ~ ( (hskp13))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl70])).
% 11.27/2.20 thf(zip_derived_cl1586, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('simplify', [status(thm)], [zip_derived_cl1579])).
% 11.27/2.20 thf(zip_derived_cl353, plain, (( (c0_1 @ a370)) <= (( (c0_1 @ a370)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl69])).
% 11.27/2.20 thf(zip_derived_cl2428, plain,
% 11.27/2.20 ((~ (c2_1 @ a370))
% 11.27/2.20 <= (( (c0_1 @ a370)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl1586, zip_derived_cl353])).
% 11.27/2.20 thf(zip_derived_cl355, plain, (( (c2_1 @ a370)) <= (( (c2_1 @ a370)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl70])).
% 11.27/2.20 thf('139', plain,
% 11.27/2.20 (~ ( (c0_1 @ a370)) | ~ ( (c2_1 @ a370)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl2428, zip_derived_cl355])).
% 11.27/2.20 thf(zip_derived_cl1586, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('simplify', [status(thm)], [zip_derived_cl1579])).
% 11.27/2.20 thf(zip_derived_cl307, plain, (( (c0_1 @ a372)) <= (( (c0_1 @ a372)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl46])).
% 11.27/2.20 thf(zip_derived_cl2423, plain,
% 11.27/2.20 ((~ (c2_1 @ a372))
% 11.27/2.20 <= (( (c0_1 @ a372)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl1586, zip_derived_cl307])).
% 11.27/2.20 thf(zip_derived_cl311, plain, (( (c2_1 @ a372)) <= (( (c2_1 @ a372)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl48])).
% 11.27/2.20 thf('140', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a372)) | ~ ( (c2_1 @ a372)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 11.27/2.20 inference('s_sup+', [status(thm)],
% 11.27/2.20 [zip_derived_cl2423, zip_derived_cl311])).
% 11.27/2.20 thf('141', plain,
% 11.27/2.20 (( (hskp12)) | ( (hskp8)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl153])).
% 11.27/2.20 thf(clause182, conjecture,
% 11.27/2.20 (~( ( hskp28 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_108, negated_conjecture,
% 11.27/2.20 (( hskp28 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause182])).
% 11.27/2.20 thf(zip_derived_cl181, plain,
% 11.27/2.20 (![X0 : $i, X1 : $i]:
% 11.27/2.20 ( (hskp28)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c0_1 @ X0)
% 11.27/2.20 | (c1_1 @ X1)
% 11.27/2.20 | ~ (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c2_1 @ X1)
% 11.27/2.20 | ~ (c0_1 @ X1))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_108])).
% 11.27/2.20 thf('142', plain,
% 11.27/2.20 (( (hskp28)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl181])).
% 11.27/2.20 thf(clause77, conjecture, (~( ( c1_1 @ a363 ) | ( ~( hskp8 ) ) ))).
% 11.27/2.20 thf(zf_stmt_109, negated_conjecture, (( c1_1 @ a363 ) | ( ~( hskp8 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause77])).
% 11.27/2.20 thf(zip_derived_cl76, plain, (( (c1_1 @ a363) | ~ (hskp8))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_109])).
% 11.27/2.20 thf(zip_derived_cl367, plain, (( (c1_1 @ a363)) <= (( (c1_1 @ a363)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl76])).
% 11.27/2.20 thf(zip_derived_cl579, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.20 thf(zip_derived_cl1002, plain,
% 11.27/2.20 (((~ (c2_1 @ a363) | ~ (c0_1 @ a363)))
% 11.27/2.20 <= (( (c1_1 @ a363)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl579])).
% 11.27/2.20 thf('143', plain,
% 11.27/2.20 (~ ( (c0_1 @ a363)) | ~ ( (c2_1 @ a363)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (c1_1 @ a363))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1002])).
% 11.27/2.20 thf('144', plain, (( (c1_1 @ a363)) | ~ ( (hskp8))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl76])).
% 11.27/2.20 thf(clause78, conjecture, (~( ( c2_1 @ a363 ) | ( ~( hskp8 ) ) ))).
% 11.27/2.20 thf(zf_stmt_110, negated_conjecture, (( c2_1 @ a363 ) | ( ~( hskp8 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause78])).
% 11.27/2.20 thf(zip_derived_cl77, plain, (( (c2_1 @ a363) | ~ (hskp8))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_110])).
% 11.27/2.20 thf('145', plain, (( (c2_1 @ a363)) | ~ ( (hskp8))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl77])).
% 11.27/2.20 thf(clause122, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c3_1 @ a363 ) ) ))).
% 11.27/2.20 thf(zf_stmt_111, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c3_1 @ a363 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause122])).
% 11.27/2.20 thf(zip_derived_cl121, plain, ((~ (hskp8) | ~ (c3_1 @ a363))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_111])).
% 11.27/2.20 thf('146', plain, (~ ( (c3_1 @ a363)) | ~ ( (hskp8))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl121])).
% 11.27/2.20 thf(zip_derived_cl623, plain,
% 11.27/2.20 ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1)))
% 11.27/2.20 <= ((![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl171])).
% 11.27/2.20 thf(zip_derived_cl367, plain, (( (c1_1 @ a363)) <= (( (c1_1 @ a363)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl76])).
% 11.27/2.20 thf(zip_derived_cl1883, plain,
% 11.27/2.20 ((( (c3_1 @ a363) | (c0_1 @ a363)))
% 11.27/2.20 <= (( (c1_1 @ a363)) &
% 11.27/2.20 (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl367])).
% 11.27/2.20 thf('147', plain,
% 11.27/2.20 (( (c0_1 @ a363)) | ( (c3_1 @ a363)) |
% 11.27/2.20 ~ (![X1 : $i]: (~ (c1_1 @ X1) | (c0_1 @ X1) | (c3_1 @ X1))) |
% 11.27/2.20 ~ ( (c1_1 @ a363))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1883])).
% 11.27/2.20 thf(clause72, conjecture, (~( ( c0_1 @ a369 ) | ( ~( hskp12 ) ) ))).
% 11.27/2.20 thf(zf_stmt_112, negated_conjecture, (( c0_1 @ a369 ) | ( ~( hskp12 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause72])).
% 11.27/2.20 thf(zip_derived_cl71, plain, (( (c0_1 @ a369) | ~ (hskp12))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_112])).
% 11.27/2.20 thf('148', plain, (( (c0_1 @ a369)) | ~ ( (hskp12))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl71])).
% 11.27/2.20 thf(clause73, conjecture, (~( ( c3_1 @ a369 ) | ( ~( hskp12 ) ) ))).
% 11.27/2.20 thf(zf_stmt_113, negated_conjecture, (( c3_1 @ a369 ) | ( ~( hskp12 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause73])).
% 11.27/2.20 thf(zip_derived_cl72, plain, (( (c3_1 @ a369) | ~ (hskp12))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_113])).
% 11.27/2.20 thf('149', plain, (( (c3_1 @ a369)) | ~ ( (hskp12))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl72])).
% 11.27/2.20 thf(clause115, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c2_1 @ a369 ) ) ))).
% 11.27/2.20 thf(zf_stmt_114, negated_conjecture,
% 11.27/2.20 (( ~( hskp12 ) ) | ( ~( c2_1 @ a369 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause115])).
% 11.27/2.20 thf(zip_derived_cl114, plain, ((~ (hskp12) | ~ (c2_1 @ a369))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_114])).
% 11.27/2.20 thf('150', plain, (~ ( (c2_1 @ a369)) | ~ ( (hskp12))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl114])).
% 11.27/2.20 thf(zip_derived_cl731, plain,
% 11.27/2.20 ((![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2)))
% 11.27/2.20 <= ((![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl198])).
% 11.27/2.20 thf(zip_derived_cl357, plain, (( (c0_1 @ a369)) <= (( (c0_1 @ a369)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl71])).
% 11.27/2.20 thf(zip_derived_cl1352, plain,
% 11.27/2.20 (((~ (c3_1 @ a369) | (c2_1 @ a369)))
% 11.27/2.20 <= (( (c0_1 @ a369)) &
% 11.27/2.20 (![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl731, zip_derived_cl357])).
% 11.27/2.20 thf('151', plain,
% 11.27/2.20 (~ (![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))) |
% 11.27/2.20 ~ ( (c0_1 @ a369)) | ( (c2_1 @ a369)) | ~ ( (c3_1 @ a369))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1352])).
% 11.27/2.20 thf('152', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 (![X2 : $i]: (~ (c0_1 @ X2) | (c2_1 @ X2) | ~ (c3_1 @ X2))) |
% 11.27/2.20 ~ ( (ndr1_0)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl198])).
% 11.27/2.20 thf(zip_derived_cl612, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl168])).
% 11.27/2.20 thf(clause102, conjecture, (~( ( ~( hskp19 ) ) | ( ~( c0_1 @ a387 ) ) ))).
% 11.27/2.20 thf(zf_stmt_115, negated_conjecture,
% 11.27/2.20 (( ~( hskp19 ) ) | ( ~( c0_1 @ a387 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause102])).
% 11.27/2.20 thf(zip_derived_cl101, plain, ((~ (hskp19) | ~ (c0_1 @ a387))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_115])).
% 11.27/2.20 thf(zip_derived_cl417, plain, ((~ (c0_1 @ a387)) <= (~ ( (c0_1 @ a387)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl101])).
% 11.27/2.20 thf(zip_derived_cl2255, plain,
% 11.27/2.20 ((( (c3_1 @ a387) | (c2_1 @ a387)))
% 11.27/2.20 <= (~ ( (c0_1 @ a387)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl612, zip_derived_cl417])).
% 11.27/2.20 thf('153', plain,
% 11.27/2.20 (( (c3_1 @ a387)) | ( (c2_1 @ a387)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a387))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl2255])).
% 11.27/2.20 thf(zip_derived_cl495, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl138])).
% 11.27/2.20 thf(zip_derived_cl417, plain, ((~ (c0_1 @ a387)) <= (~ ( (c0_1 @ a387)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl101])).
% 11.27/2.20 thf(zip_derived_cl1258, plain,
% 11.27/2.20 (((~ (c3_1 @ a387) | (c2_1 @ a387)))
% 11.27/2.20 <= (~ ( (c0_1 @ a387)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl495, zip_derived_cl417])).
% 11.27/2.20 thf('154', plain,
% 11.27/2.20 (~ ( (c3_1 @ a387)) | ( (c0_1 @ a387)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ( (c2_1 @ a387))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1258])).
% 11.27/2.20 thf('155', plain,
% 11.27/2.20 (( (hskp19)) | ( (hskp28)) |
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl144])).
% 11.27/2.20 thf(zip_derived_cl498, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl139])).
% 11.27/2.20 thf(zip_derived_cl349, plain, (( (c0_1 @ a376)) <= (( (c0_1 @ a376)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl67])).
% 11.27/2.20 thf(zip_derived_cl1318, plain,
% 11.27/2.20 ((( (c3_1 @ a376) | (c2_1 @ a376)))
% 11.27/2.20 <= (( (c0_1 @ a376)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl498, zip_derived_cl349])).
% 11.27/2.20 thf('156', plain,
% 11.27/2.20 (( (c3_1 @ a376)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c0_1 @ a376)) | ( (c2_1 @ a376))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1318])).
% 11.27/2.20 thf(clause80, conjecture, (~( ( c2_1 @ a358 ) | ( ~( hskp4 ) ) ))).
% 11.27/2.20 thf(zf_stmt_116, negated_conjecture, (( c2_1 @ a358 ) | ( ~( hskp4 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause80])).
% 11.27/2.20 thf(zip_derived_cl79, plain, (( (c2_1 @ a358) | ~ (hskp4))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_116])).
% 11.27/2.20 thf('157', plain, (( (c2_1 @ a358)) | ~ ( (hskp4))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl79])).
% 11.27/2.20 thf(clause131, conjecture, (~( ( ~( hskp4 ) ) | ( ~( c0_1 @ a358 ) ) ))).
% 11.27/2.20 thf(zf_stmt_117, negated_conjecture, (( ~( hskp4 ) ) | ( ~( c0_1 @ a358 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause131])).
% 11.27/2.20 thf(zip_derived_cl130, plain, ((~ (hskp4) | ~ (c0_1 @ a358))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_117])).
% 11.27/2.20 thf('158', plain, (~ ( (c0_1 @ a358)) | ~ ( (hskp4))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl130])).
% 11.27/2.20 thf(clause132, conjecture, (~( ( ~( hskp4 ) ) | ( ~( c3_1 @ a358 ) ) ))).
% 11.27/2.20 thf(zf_stmt_118, negated_conjecture, (( ~( hskp4 ) ) | ( ~( c3_1 @ a358 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause132])).
% 11.27/2.20 thf(zip_derived_cl131, plain, ((~ (hskp4) | ~ (c3_1 @ a358))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_118])).
% 11.27/2.20 thf('159', plain, (~ ( (c3_1 @ a358)) | ~ ( (hskp4))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl131])).
% 11.27/2.20 thf(zip_derived_cl517, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl144])).
% 11.27/2.20 thf(zip_derived_cl475, plain, ((~ (c0_1 @ a358)) <= (~ ( (c0_1 @ a358)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl130])).
% 11.27/2.20 thf(zip_derived_cl1693, plain,
% 11.27/2.20 ((( (c3_1 @ a358) | ~ (c2_1 @ a358)))
% 11.27/2.20 <= (~ ( (c0_1 @ a358)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl475])).
% 11.27/2.20 thf('160', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a358)) | ( (c0_1 @ a358)) | ( (c3_1 @ a358))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1693])).
% 11.27/2.20 thf(clause1, conjecture, (~( ( hskp6 ) | ( hskp4 ) ))).
% 11.27/2.20 thf(zf_stmt_119, negated_conjecture, (( hskp6 ) | ( hskp4 )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause1])).
% 11.27/2.20 thf(zip_derived_cl0, plain, (( (hskp6) | (hskp4))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_119])).
% 11.27/2.20 thf('161', plain, (( (hskp4)) | ( (hskp6))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl0])).
% 11.27/2.20 thf(zip_derived_cl487, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl136])).
% 11.27/2.20 thf(zip_derived_cl463, plain, ((~ (c1_1 @ a360)) <= (~ ( (c1_1 @ a360)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl124])).
% 11.27/2.20 thf(zip_derived_cl1120, plain,
% 11.27/2.20 ((( (c0_1 @ a360) | (c2_1 @ a360)))
% 11.27/2.20 <= (~ ( (c1_1 @ a360)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl463])).
% 11.27/2.20 thf('162', plain,
% 11.27/2.20 (( (c0_1 @ a360)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (c1_1 @ a360)) | ( (c2_1 @ a360))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1120])).
% 11.27/2.20 thf('163', plain, (~ ( (c1_1 @ a360)) | ~ ( (hskp6))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl124])).
% 11.27/2.20 thf(clause126, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c2_1 @ a360 ) ) ))).
% 11.27/2.20 thf(zf_stmt_120, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c2_1 @ a360 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause126])).
% 11.27/2.20 thf(zip_derived_cl125, plain, ((~ (hskp6) | ~ (c2_1 @ a360))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_120])).
% 11.27/2.20 thf('164', plain, (~ ( (c2_1 @ a360)) | ~ ( (hskp6))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl125])).
% 11.27/2.20 thf(clause127, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c3_1 @ a360 ) ) ))).
% 11.27/2.20 thf(zf_stmt_121, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c3_1 @ a360 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause127])).
% 11.27/2.20 thf(zip_derived_cl126, plain, ((~ (hskp6) | ~ (c3_1 @ a360))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_121])).
% 11.27/2.20 thf('165', plain, (~ ( (c3_1 @ a360)) | ~ ( (hskp6))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl126])).
% 11.27/2.20 thf('166', plain, (~ ( (c0_1 @ a387)) | ~ ( (hskp19))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl101])).
% 11.27/2.20 thf(clause103, conjecture, (~( ( ~( hskp19 ) ) | ( ~( c1_1 @ a387 ) ) ))).
% 11.27/2.20 thf(zf_stmt_122, negated_conjecture,
% 11.27/2.20 (( ~( hskp19 ) ) | ( ~( c1_1 @ a387 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause103])).
% 11.27/2.20 thf(zip_derived_cl102, plain, ((~ (hskp19) | ~ (c1_1 @ a387))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_122])).
% 11.27/2.20 thf('167', plain, (~ ( (c1_1 @ a387)) | ~ ( (hskp19))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl102])).
% 11.27/2.20 thf(clause104, conjecture, (~( ( ~( hskp19 ) ) | ( ~( c2_1 @ a387 ) ) ))).
% 11.27/2.20 thf(zf_stmt_123, negated_conjecture,
% 11.27/2.20 (( ~( hskp19 ) ) | ( ~( c2_1 @ a387 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause104])).
% 11.27/2.20 thf(zip_derived_cl103, plain, ((~ (hskp19) | ~ (c2_1 @ a387))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_123])).
% 11.27/2.20 thf('168', plain, (~ ( (c2_1 @ a387)) | ~ ( (hskp19))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl103])).
% 11.27/2.20 thf(zip_derived_cl487, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl136])).
% 11.27/2.20 thf(zip_derived_cl419, plain, ((~ (c1_1 @ a387)) <= (~ ( (c1_1 @ a387)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl102])).
% 11.27/2.20 thf(zip_derived_cl1119, plain,
% 11.27/2.20 ((( (c0_1 @ a387) | (c2_1 @ a387)))
% 11.27/2.20 <= (~ ( (c1_1 @ a387)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl419])).
% 11.27/2.20 thf('169', plain,
% 11.27/2.20 (~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ( (c0_1 @ a387)) | ( (c1_1 @ a387)) | ( (c2_1 @ a387))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1119])).
% 11.27/2.20 thf('170', plain,
% 11.27/2.20 (( (hskp4)) | ( (hskp3)) |
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 11.27/2.20 ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl136])).
% 11.27/2.20 thf(clause150, conjecture,
% 11.27/2.20 (~( ( hskp19 ) | ( hskp3 ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 11.27/2.20 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.20 thf(zf_stmt_124, negated_conjecture,
% 11.27/2.20 (( hskp19 ) | ( hskp3 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.20 ( ~( c0_1 @ U ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause150])).
% 11.27/2.20 thf(zip_derived_cl149, plain,
% 11.27/2.20 (![X0 : $i]:
% 11.27/2.20 ( (hskp19)
% 11.27/2.20 | (hskp3)
% 11.27/2.20 | (c3_1 @ X0)
% 11.27/2.20 | (c1_1 @ X0)
% 11.27/2.20 | ~ (ndr1_0)
% 11.27/2.20 | ~ (c0_1 @ X0))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_124])).
% 11.27/2.20 thf('171', plain,
% 11.27/2.20 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.20 ( (hskp19)) | ( (hskp3)) | ~ ( (ndr1_0))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl149])).
% 11.27/2.20 thf(zip_derived_cl544, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl151])).
% 11.27/2.20 thf(zip_derived_cl375, plain, (( (c1_1 @ a357)) <= (( (c1_1 @ a357)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl80])).
% 11.27/2.20 thf(zip_derived_cl1055, plain,
% 11.27/2.20 (((~ (c3_1 @ a357) | (c0_1 @ a357)))
% 11.27/2.20 <= (( (c1_1 @ a357)) &
% 11.27/2.20 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl375])).
% 11.27/2.20 thf('172', plain,
% 11.27/2.20 (~ ( (c1_1 @ a357)) | ( (c0_1 @ a357)) |
% 11.27/2.20 ~ (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1055])).
% 11.27/2.20 thf('173', plain, (( (c1_1 @ a357)) | ~ ( (hskp3))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl80])).
% 11.27/2.20 thf(zip_derived_cl375, plain, (( (c1_1 @ a357)) <= (( (c1_1 @ a357)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl80])).
% 11.27/2.20 thf(zip_derived_cl576, plain,
% 11.27/2.20 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl159])).
% 11.27/2.20 thf(zip_derived_cl1017, plain,
% 11.27/2.20 (((~ (c2_1 @ a357) | ~ (c3_1 @ a357)))
% 11.27/2.20 <= (( (c1_1 @ a357)) &
% 11.27/2.20 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl375, zip_derived_cl576])).
% 11.27/2.20 thf('174', plain,
% 11.27/2.20 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c2_1 @ a357)) | ~ ( (c3_1 @ a357)) | ~ ( (c1_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1017])).
% 11.27/2.20 thf(clause82, conjecture, (~( ( c3_1 @ a357 ) | ( ~( hskp3 ) ) ))).
% 11.27/2.20 thf(zf_stmt_125, negated_conjecture, (( c3_1 @ a357 ) | ( ~( hskp3 ) )),
% 11.27/2.20 inference('cnf.neg', [status(esa)], [clause82])).
% 11.27/2.20 thf(zip_derived_cl81, plain, (( (c3_1 @ a357) | ~ (hskp3))),
% 11.27/2.20 inference('cnf', [status(esa)], [zf_stmt_125])).
% 11.27/2.20 thf('175', plain, (( (c3_1 @ a357)) | ~ ( (hskp3))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl81])).
% 11.27/2.20 thf('176', plain, (~ ( (hskp3)) | ~ ( (c0_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl132])).
% 11.27/2.20 thf(zip_derived_cl495, plain,
% 11.27/2.20 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.20 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl138])).
% 11.27/2.20 thf(zip_derived_cl479, plain, ((~ (c0_1 @ a357)) <= (~ ( (c0_1 @ a357)))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl132])).
% 11.27/2.20 thf(zip_derived_cl1257, plain,
% 11.27/2.20 (((~ (c3_1 @ a357) | (c2_1 @ a357)))
% 11.27/2.20 <= (~ ( (c0_1 @ a357)) &
% 11.27/2.20 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.20 inference('s_sup-', [status(thm)], [zip_derived_cl495, zip_derived_cl479])).
% 11.27/2.20 thf('177', plain,
% 11.27/2.20 (( (c2_1 @ a357)) | ( (c0_1 @ a357)) |
% 11.27/2.20 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.20 ~ ( (c3_1 @ a357))),
% 11.27/2.20 inference('split', [status(esa)], [zip_derived_cl1257])).
% 11.27/2.20 thf(clause195, conjecture,
% 11.27/2.21 (~( ( hskp17 ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 11.27/2.21 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.21 ( ~( c1_1 @ U ) ) ))).
% 11.27/2.21 thf(zf_stmt_126, negated_conjecture,
% 11.27/2.21 (( hskp17 ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 11.27/2.21 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 11.27/2.21 ( ~( c1_1 @ U ) )),
% 11.27/2.21 inference('cnf.neg', [status(esa)], [clause195])).
% 11.27/2.21 thf(zip_derived_cl194, plain,
% 11.27/2.21 (![X0 : $i, X1 : $i]:
% 11.27/2.21 ( (hskp17)
% 11.27/2.21 | (c0_1 @ X0)
% 11.27/2.21 | ~ (c3_1 @ X0)
% 11.27/2.21 | ~ (c1_1 @ X0)
% 11.27/2.21 | ~ (ndr1_0)
% 11.27/2.21 | ~ (c3_1 @ X1)
% 11.27/2.21 | ~ (c2_1 @ X1)
% 11.27/2.21 | ~ (c1_1 @ X1))),
% 11.27/2.21 inference('cnf', [status(esa)], [zf_stmt_126])).
% 11.27/2.21 thf('178', plain,
% 11.27/2.21 (( (hskp17)) |
% 11.27/2.21 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.21 ~ ( (ndr1_0)) |
% 11.27/2.21 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl194])).
% 11.27/2.21 thf('179', plain,
% 11.27/2.21 (( (hskp17)) |
% 11.27/2.21 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.21 ~ ( (ndr1_0))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl138])).
% 11.27/2.21 thf(zip_derived_cl345, plain, (( (c1_1 @ a380)) <= (( (c1_1 @ a380)))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl65])).
% 11.27/2.21 thf(zip_derived_cl579, plain,
% 11.27/2.21 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 11.27/2.21 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl160])).
% 11.27/2.21 thf(zip_derived_cl970, plain,
% 11.27/2.21 (((~ (c2_1 @ a380) | ~ (c0_1 @ a380)))
% 11.27/2.21 <= (( (c1_1 @ a380)) &
% 11.27/2.21 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 11.27/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl345, zip_derived_cl579])).
% 11.27/2.21 thf('180', plain,
% 11.27/2.21 (~ ( (c2_1 @ a380)) |
% 11.27/2.21 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 11.27/2.21 ~ ( (c0_1 @ a380)) | ~ ( (c1_1 @ a380))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl970])).
% 11.27/2.21 thf('181', plain, (( (c0_1 @ a380)) | ~ ( (hskp17))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl64])).
% 11.27/2.21 thf('182', plain, (( (c1_1 @ a380)) | ~ ( (hskp17))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl65])).
% 11.27/2.21 thf(clause107, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c3_1 @ a380 ) ) ))).
% 11.27/2.21 thf(zf_stmt_127, negated_conjecture,
% 11.27/2.21 (( ~( hskp17 ) ) | ( ~( c3_1 @ a380 ) )),
% 11.27/2.21 inference('cnf.neg', [status(esa)], [clause107])).
% 11.27/2.21 thf(zip_derived_cl106, plain, ((~ (hskp17) | ~ (c3_1 @ a380))),
% 11.27/2.21 inference('cnf', [status(esa)], [zf_stmt_127])).
% 11.27/2.21 thf('183', plain, (~ ( (c3_1 @ a380)) | ~ ( (hskp17))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl106])).
% 11.27/2.21 thf(zip_derived_cl498, plain,
% 11.27/2.21 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.21 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl139])).
% 11.27/2.21 thf(zip_derived_cl343, plain, (( (c0_1 @ a380)) <= (( (c0_1 @ a380)))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl64])).
% 11.27/2.21 thf(zip_derived_cl1317, plain,
% 11.27/2.21 ((( (c3_1 @ a380) | (c2_1 @ a380)))
% 11.27/2.21 <= (( (c0_1 @ a380)) &
% 11.27/2.21 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.21 inference('s_sup+', [status(thm)], [zip_derived_cl498, zip_derived_cl343])).
% 11.27/2.21 thf('184', plain,
% 11.27/2.21 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.21 ( (c2_1 @ a380)) | ( (c3_1 @ a380)) | ~ ( (c0_1 @ a380))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl1317])).
% 11.27/2.21 thf(zip_derived_cl544, plain,
% 11.27/2.21 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.21 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl151])).
% 11.27/2.21 thf(zip_derived_cl313, plain, (( (c1_1 @ a365)) <= (( (c1_1 @ a365)))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl49])).
% 11.27/2.21 thf(zip_derived_cl1047, plain,
% 11.27/2.21 (((~ (c3_1 @ a365) | (c0_1 @ a365)))
% 11.27/2.21 <= (( (c1_1 @ a365)) &
% 11.27/2.21 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.21 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl313])).
% 11.27/2.21 thf('185', plain,
% 11.27/2.21 (( (c0_1 @ a365)) |
% 11.27/2.21 ~ (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.21 ~ ( (c1_1 @ a365)) | ~ ( (c3_1 @ a365))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl1047])).
% 11.27/2.21 thf(clause149, conjecture,
% 11.27/2.21 (~( ( hskp8 ) | ( hskp29 ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 11.27/2.21 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 11.27/2.21 thf(zf_stmt_128, negated_conjecture,
% 11.27/2.21 (( hskp8 ) | ( hskp29 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 11.27/2.21 ( ~( c0_1 @ U ) )),
% 11.27/2.21 inference('cnf.neg', [status(esa)], [clause149])).
% 11.27/2.21 thf(zip_derived_cl148, plain,
% 11.27/2.21 (![X0 : $i]:
% 11.27/2.21 ( (hskp8)
% 11.27/2.21 | (hskp29)
% 11.27/2.21 | (c3_1 @ X0)
% 11.27/2.21 | (c1_1 @ X0)
% 11.27/2.21 | ~ (ndr1_0)
% 11.27/2.21 | ~ (c0_1 @ X0))),
% 11.27/2.21 inference('cnf', [status(esa)], [zf_stmt_128])).
% 11.27/2.21 thf(zip_derived_cl532, plain,
% 11.27/2.21 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 11.27/2.21 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl148])).
% 11.27/2.21 thf(zip_derived_cl463, plain, ((~ (c1_1 @ a360)) <= (~ ( (c1_1 @ a360)))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl124])).
% 11.27/2.21 thf(zip_derived_cl1945, plain,
% 11.27/2.21 ((( (c3_1 @ a360) | ~ (c0_1 @ a360)))
% 11.27/2.21 <= (~ ( (c1_1 @ a360)) &
% 11.27/2.21 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 11.27/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl532, zip_derived_cl463])).
% 11.27/2.21 thf('186', plain,
% 11.27/2.21 (~ ( (c0_1 @ a360)) | ( (c1_1 @ a360)) |
% 11.27/2.21 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 11.27/2.21 ( (c3_1 @ a360))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl1945])).
% 11.27/2.21 thf(zip_derived_cl495, plain,
% 11.27/2.21 ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 11.27/2.21 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl138])).
% 11.27/2.21 thf(zip_derived_cl409, plain, ((~ (c0_1 @ a395)) <= (~ ( (c0_1 @ a395)))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl97])).
% 11.27/2.21 thf(zip_derived_cl1249, plain,
% 11.27/2.21 (((~ (c3_1 @ a395) | (c2_1 @ a395)))
% 11.27/2.21 <= (~ ( (c0_1 @ a395)) &
% 11.27/2.21 (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 11.27/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl495, zip_derived_cl409])).
% 11.27/2.21 thf('187', plain,
% 11.27/2.21 (~ ( (c3_1 @ a395)) | ( (c0_1 @ a395)) |
% 11.27/2.21 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 11.27/2.21 ( (c2_1 @ a395))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl1249])).
% 11.27/2.21 thf(clause22, conjecture, (~( ( ndr1_0 ) | ( ~( hskp11 ) ) ))).
% 11.27/2.21 thf(zf_stmt_129, negated_conjecture, (( ndr1_0 ) | ( ~( hskp11 ) )),
% 11.27/2.21 inference('cnf.neg', [status(esa)], [clause22])).
% 11.27/2.21 thf(zip_derived_cl21, plain, (( (ndr1_0) | ~ (hskp11))),
% 11.27/2.21 inference('cnf', [status(esa)], [zf_stmt_129])).
% 11.27/2.21 thf('188', plain, (~ ( (hskp11)) | ( (ndr1_0))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl21])).
% 11.27/2.21 thf(clause35, conjecture, (~( ( hskp11 ) | ( hskp1 ) | ( hskp17 ) ))).
% 11.27/2.21 thf(zf_stmt_130, negated_conjecture, (( hskp11 ) | ( hskp1 ) | ( hskp17 )),
% 11.27/2.21 inference('cnf.neg', [status(esa)], [clause35])).
% 11.27/2.21 thf(zip_derived_cl34, plain, (( (hskp11) | (hskp1) | (hskp17))),
% 11.27/2.21 inference('cnf', [status(esa)], [zf_stmt_130])).
% 11.27/2.21 thf('189', plain, (( (hskp11)) | ( (hskp1)) | ( (hskp17))),
% 11.27/2.21 inference('split', [status(esa)], [zip_derived_cl34])).
% 11.27/2.21 thf(zip_derived_cl8991, plain, ($false),
% 11.27/2.21 inference('sat_resolution*', [status(thm)],
% 11.27/2.21 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 11.27/2.21 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 11.27/2.21 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 11.27/2.21 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 11.27/2.21 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 11.27/2.21 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 11.27/2.21 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 11.27/2.21 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 11.27/2.21 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 11.27/2.21 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 11.27/2.21 '102', '103', '104', '105', '106', '107', '108', '109',
% 11.27/2.21 '110', '111', '112', '113', '114', '115', '116', '117',
% 11.27/2.21 '118', '119', '120', '121', '122', '123', '124', '125',
% 11.27/2.21 '126', '127', '128', '129', '130', '131', '132', '133',
% 11.27/2.21 '134', '135', '136', '137', '138', '139', '140', '141',
% 11.27/2.21 '142', '143', '144', '145', '146', '147', '148', '149',
% 11.27/2.21 '150', '151', '152', '153', '154', '155', '156', '157',
% 11.27/2.21 '158', '159', '160', '161', '162', '163', '164', '165',
% 11.27/2.21 '166', '167', '168', '169', '170', '171', '172', '173',
% 11.27/2.21 '174', '175', '176', '177', '178', '179', '180', '181',
% 11.27/2.21 '182', '183', '184', '185', '186', '187', '188', '189'])).
% 11.27/2.21
% 11.27/2.21 % SZS output end Refutation
% 11.27/2.21
% 11.27/2.21
% 11.27/2.21 % Terminating...
% 11.27/2.21 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 11.79/2.30 % Runner terminated.
% 11.79/2.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------