TSTP Solution File: SYN454-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN454-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TYh7bFrvbw true
% Computer : n022.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 : Fri Sep 1 04:03:38 EDT 2023
% Result : Unsatisfiable 20.71s 3.57s
% Output : Refutation 20.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN454-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TYh7bFrvbw true
% 0.17/0.36 % Computer : n022.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Sat Aug 26 19:59:10 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.17/0.36 % Running portfolio for 300 s
% 0.17/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 20.71/3.57 % Solved by fo/fo1_av.sh.
% 20.71/3.57 % done 5517 iterations in 2.742s
% 20.71/3.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.71/3.57 % SZS output start Refutation
% 20.71/3.57 thf(hskp24_type, type, hskp24: $o).
% 20.71/3.57 thf(hskp19_type, type, hskp19: $o).
% 20.71/3.57 thf(hskp16_type, type, hskp16: $o).
% 20.71/3.57 thf(hskp3_type, type, hskp3: $o).
% 20.71/3.57 thf(c3_1_type, type, c3_1: $i > $o).
% 20.71/3.57 thf(hskp0_type, type, hskp0: $o).
% 20.71/3.57 thf(a109_type, type, a109: $i).
% 20.71/3.57 thf(a124_type, type, a124: $i).
% 20.71/3.57 thf(a94_type, type, a94: $i).
% 20.71/3.57 thf(a103_type, type, a103: $i).
% 20.71/3.57 thf(hskp10_type, type, hskp10: $o).
% 20.71/3.57 thf(hskp7_type, type, hskp7: $o).
% 20.71/3.57 thf(a104_type, type, a104: $i).
% 20.71/3.57 thf(a118_type, type, a118: $i).
% 20.71/3.57 thf(hskp14_type, type, hskp14: $o).
% 20.71/3.57 thf(a133_type, type, a133: $i).
% 20.71/3.57 thf(a112_type, type, a112: $i).
% 20.71/3.57 thf(a96_type, type, a96: $i).
% 20.71/3.57 thf(hskp26_type, type, hskp26: $o).
% 20.71/3.57 thf(a106_type, type, a106: $i).
% 20.71/3.57 thf(hskp20_type, type, hskp20: $o).
% 20.71/3.57 thf(hskp2_type, type, hskp2: $o).
% 20.71/3.57 thf(a115_type, type, a115: $i).
% 20.71/3.57 thf(hskp27_type, type, hskp27: $o).
% 20.71/3.57 thf(c1_1_type, type, c1_1: $i > $o).
% 20.71/3.57 thf(hskp5_type, type, hskp5: $o).
% 20.71/3.57 thf(a99_type, type, a99: $i).
% 20.71/3.57 thf(a165_type, type, a165: $i).
% 20.71/3.57 thf(hskp4_type, type, hskp4: $o).
% 20.71/3.57 thf(a116_type, type, a116: $i).
% 20.71/3.57 thf(a100_type, type, a100: $i).
% 20.71/3.57 thf(a153_type, type, a153: $i).
% 20.71/3.57 thf(a125_type, type, a125: $i).
% 20.71/3.57 thf(hskp28_type, type, hskp28: $o).
% 20.71/3.57 thf(hskp8_type, type, hskp8: $o).
% 20.71/3.57 thf(ndr1_0_type, type, ndr1_0: $o).
% 20.71/3.57 thf(a102_type, type, a102: $i).
% 20.71/3.57 thf(hskp6_type, type, hskp6: $o).
% 20.71/3.57 thf(c2_1_type, type, c2_1: $i > $o).
% 20.71/3.57 thf(hskp9_type, type, hskp9: $o).
% 20.71/3.57 thf(hskp29_type, type, hskp29: $o).
% 20.71/3.57 thf(hskp1_type, type, hskp1: $o).
% 20.71/3.57 thf(hskp12_type, type, hskp12: $o).
% 20.71/3.57 thf(a101_type, type, a101: $i).
% 20.71/3.57 thf(a127_type, type, a127: $i).
% 20.71/3.57 thf(hskp17_type, type, hskp17: $o).
% 20.71/3.57 thf(a110_type, type, a110: $i).
% 20.71/3.57 thf(c0_1_type, type, c0_1: $i > $o).
% 20.71/3.57 thf(hskp18_type, type, hskp18: $o).
% 20.71/3.57 thf(hskp22_type, type, hskp22: $o).
% 20.71/3.57 thf(a98_type, type, a98: $i).
% 20.71/3.57 thf(hskp13_type, type, hskp13: $o).
% 20.71/3.57 thf(hskp11_type, type, hskp11: $o).
% 20.71/3.57 thf(a97_type, type, a97: $i).
% 20.71/3.57 thf(hskp15_type, type, hskp15: $o).
% 20.71/3.57 thf(clause134, conjecture,
% 20.71/3.57 (~( ( hskp27 ) | ( hskp26 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) ))).
% 20.71/3.57 thf(zf_stmt_0, negated_conjecture,
% 20.71/3.57 (( hskp27 ) | ( hskp26 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause134])).
% 20.71/3.57 thf(zip_derived_cl133, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp27)
% 20.71/3.57 | (hskp26)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.71/3.57 thf(zip_derived_cl459, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl133])).
% 20.71/3.57 thf(clause164, conjecture,
% 20.71/3.57 (~( ( hskp15 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_1, negated_conjecture,
% 20.71/3.57 (( hskp15 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause164])).
% 20.71/3.57 thf(zip_derived_cl163, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp15)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 20.71/3.57 thf(zip_derived_cl577, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl163])).
% 20.71/3.57 thf(zip_derived_cl1071, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 ( (c1_1 @ X0) | (c2_1 @ X0) | (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl577])).
% 20.71/3.57 thf(zip_derived_cl1084, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1071])).
% 20.71/3.57 thf(clause121, conjecture, (~( ( ~( hskp5 ) ) | ( ~( c1_1 @ a101 ) ) ))).
% 20.71/3.57 thf(zf_stmt_2, negated_conjecture, (( ~( hskp5 ) ) | ( ~( c1_1 @ a101 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause121])).
% 20.71/3.57 thf(zip_derived_cl120, plain, ((~ (hskp5) | ~ (c1_1 @ a101))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_2])).
% 20.71/3.57 thf(zip_derived_cl432, plain, ((~ (c1_1 @ a101)) <= (~ ( (c1_1 @ a101)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl120])).
% 20.71/3.57 thf(zip_derived_cl4713, plain,
% 20.71/3.57 ((( (c2_1 @ a101) | ~ (c3_1 @ a101)))
% 20.71/3.57 <= (~ ( (c1_1 @ a101)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl1084, zip_derived_cl432])).
% 20.71/3.57 thf('0', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a101)) | ( (c1_1 @ a101)) | ( (c2_1 @ a101))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl4713])).
% 20.71/3.57 thf(clause173, conjecture,
% 20.71/3.57 (~( ( c2_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) |
% 20.71/3.57 ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_3, negated_conjecture,
% 20.71/3.57 (( c2_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) |
% 20.71/3.57 ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause173])).
% 20.71/3.57 thf(zip_derived_cl172, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c0_1 @ X1)
% 20.71/3.57 | (c3_1 @ X2)
% 20.71/3.57 | (c1_1 @ X2)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_3])).
% 20.71/3.57 thf('1', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl172])).
% 20.71/3.57 thf(clause168, conjecture,
% 20.71/3.57 (~( ( hskp8 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_4, negated_conjecture,
% 20.71/3.57 (( hskp8 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause168])).
% 20.71/3.57 thf(zip_derived_cl167, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp8)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_4])).
% 20.71/3.57 thf('2', plain,
% 20.71/3.57 (( (hskp8)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl594, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(clause149, conjecture,
% 20.71/3.57 (~( ( hskp3 ) | ( hskp6 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_5, negated_conjecture,
% 20.71/3.57 (( hskp3 ) | ( hskp6 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause149])).
% 20.71/3.57 thf(zip_derived_cl148, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp3)
% 20.71/3.57 | (hskp6)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (c0_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.71/3.57 thf(zip_derived_cl518, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl148])).
% 20.71/3.57 thf(zip_derived_cl1897, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 ( (c2_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl594, zip_derived_cl518])).
% 20.71/3.57 thf(zip_derived_cl1919, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1897])).
% 20.71/3.57 thf(clause76, conjecture, (~( ( c1_1 @ a106 ) | ( ~( hskp10 ) ) ))).
% 20.71/3.57 thf(zf_stmt_6, negated_conjecture, (( c1_1 @ a106 ) | ( ~( hskp10 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause76])).
% 20.71/3.57 thf(zip_derived_cl75, plain, (( (c1_1 @ a106) | ~ (hskp10))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 20.71/3.57 thf(zip_derived_cl342, plain, (( (c1_1 @ a106)) <= (( (c1_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf(zip_derived_cl4482, plain,
% 20.71/3.57 ((( (c2_1 @ a106) | ~ (c3_1 @ a106)))
% 20.71/3.57 <= (( (c1_1 @ a106)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1919, zip_derived_cl342])).
% 20.71/3.57 thf('3', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a106)) | ~ ( (c1_1 @ a106)) | ( (c2_1 @ a106))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl4482])).
% 20.71/3.57 thf(clause162, conjecture,
% 20.71/3.57 (~( ( hskp12 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 20.71/3.57 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_7, negated_conjecture,
% 20.71/3.57 (( hskp12 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 20.71/3.57 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause162])).
% 20.71/3.57 thf(zip_derived_cl161, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp12)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | (c1_1 @ X1)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 20.71/3.57 thf(zip_derived_cl570, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl161])).
% 20.71/3.57 thf(zip_derived_cl518, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl148])).
% 20.71/3.57 thf(zip_derived_cl1380, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c1_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl518])).
% 20.71/3.57 thf(zip_derived_cl1406, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c3_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1380])).
% 20.71/3.57 thf(zip_derived_cl342, plain, (( (c1_1 @ a106)) <= (( (c1_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf(zip_derived_cl4011, plain,
% 20.71/3.57 (((~ (c3_1 @ a106) | (c2_1 @ a106)))
% 20.71/3.57 <= (( (c1_1 @ a106)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1406, zip_derived_cl342])).
% 20.71/3.57 thf('4', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a106)) | ~ ( (c1_1 @ a106)) | ( (c2_1 @ a106))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl4011])).
% 20.71/3.57 thf(zip_derived_cl593, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(clause161, conjecture,
% 20.71/3.57 (~( ( hskp7 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_8, negated_conjecture,
% 20.71/3.57 (( hskp7 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause161])).
% 20.71/3.57 thf(zip_derived_cl160, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp7)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c0_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_8])).
% 20.71/3.57 thf(zip_derived_cl565, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl160])).
% 20.71/3.57 thf(zip_derived_cl1367, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl593, zip_derived_cl565])).
% 20.71/3.57 thf(zip_derived_cl1370, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1367])).
% 20.71/3.57 thf(clause43, conjecture, (~( ( c1_1 @ a165 ) | ( ~( hskp29 ) ) ))).
% 20.71/3.57 thf(zf_stmt_9, negated_conjecture, (( c1_1 @ a165 ) | ( ~( hskp29 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause43])).
% 20.71/3.57 thf(zip_derived_cl42, plain, (( (c1_1 @ a165) | ~ (hskp29))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_9])).
% 20.71/3.57 thf(zip_derived_cl276, plain, (( (c1_1 @ a165)) <= (( (c1_1 @ a165)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl42])).
% 20.71/3.57 thf(zip_derived_cl2393, plain,
% 20.71/3.57 (((~ (c3_1 @ a165) | ~ (c2_1 @ a165)))
% 20.71/3.57 <= (( (c1_1 @ a165)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1370, zip_derived_cl276])).
% 20.71/3.57 thf('5', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c1_1 @ a165)) | ~ ( (c2_1 @ a165)) | ~ ( (c3_1 @ a165))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl2393])).
% 20.71/3.57 thf(clause36, conjecture, (~( ( hskp8 ) | ( hskp3 ) | ( hskp20 ) ))).
% 20.71/3.57 thf(zf_stmt_10, negated_conjecture, (( hskp8 ) | ( hskp3 ) | ( hskp20 )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause36])).
% 20.71/3.57 thf(zip_derived_cl35, plain, (( (hskp8) | (hskp3) | (hskp20))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_10])).
% 20.71/3.57 thf('6', plain, (( (hskp8)) | ( (hskp3)) | ( (hskp20))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl35])).
% 20.71/3.57 thf(zip_derived_cl570, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl161])).
% 20.71/3.57 thf(clause106, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c0_1 @ a116 ) ) ))).
% 20.71/3.57 thf(zf_stmt_11, negated_conjecture, (( ~( hskp15 ) ) | ( ~( c0_1 @ a116 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause106])).
% 20.71/3.57 thf(zip_derived_cl105, plain, ((~ (hskp15) | ~ (c0_1 @ a116))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_11])).
% 20.71/3.57 thf(zip_derived_cl402, plain, ((~ (c0_1 @ a116)) <= (~ ( (c0_1 @ a116)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl105])).
% 20.71/3.57 thf(zip_derived_cl1390, plain,
% 20.71/3.57 (((~ (c1_1 @ a116) | ~ (c3_1 @ a116)))
% 20.71/3.57 <= (~ ( (c0_1 @ a116)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl402])).
% 20.71/3.57 thf('7', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a116)) | ~ ( (c1_1 @ a116)) | ( (c0_1 @ a116))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1390])).
% 20.71/3.57 thf(clause155, conjecture,
% 20.71/3.57 (~( ( hskp6 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 20.71/3.57 ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_12, negated_conjecture,
% 20.71/3.57 (( hskp6 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause155])).
% 20.71/3.57 thf(zip_derived_cl154, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp6)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | (c0_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c1_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_12])).
% 20.71/3.57 thf(zip_derived_cl542, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(zip_derived_cl402, plain, ((~ (c0_1 @ a116)) <= (~ ( (c0_1 @ a116)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl105])).
% 20.71/3.57 thf(zip_derived_cl1448, plain,
% 20.71/3.57 (((~ (c1_1 @ a116) | (c2_1 @ a116)))
% 20.71/3.57 <= (~ ( (c0_1 @ a116)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl402])).
% 20.71/3.57 thf('8', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ( (c2_1 @ a116)) | ~ ( (c1_1 @ a116)) | ( (c0_1 @ a116))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1448])).
% 20.71/3.57 thf(clause158, conjecture,
% 20.71/3.57 (~( ( hskp10 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_13, negated_conjecture,
% 20.71/3.57 (( hskp10 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 20.71/3.57 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause158])).
% 20.71/3.57 thf(zip_derived_cl157, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp10)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | (c1_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_13])).
% 20.71/3.57 thf(zip_derived_cl554, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(clause124, conjecture, (~( ( ~( hskp4 ) ) | ( ~( c1_1 @ a100 ) ) ))).
% 20.71/3.57 thf(zf_stmt_14, negated_conjecture, (( ~( hskp4 ) ) | ( ~( c1_1 @ a100 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause124])).
% 20.71/3.57 thf(zip_derived_cl123, plain, ((~ (hskp4) | ~ (c1_1 @ a100))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_14])).
% 20.71/3.57 thf(zip_derived_cl438, plain, ((~ (c1_1 @ a100)) <= (~ ( (c1_1 @ a100)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl123])).
% 20.71/3.57 thf(zip_derived_cl1746, plain,
% 20.71/3.57 ((( (c3_1 @ a100) | ~ (c2_1 @ a100)))
% 20.71/3.57 <= (~ ( (c1_1 @ a100)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl554, zip_derived_cl438])).
% 20.71/3.57 thf('9', plain,
% 20.71/3.57 (( (c3_1 @ a100)) | ~ ( (c2_1 @ a100)) |
% 20.71/3.57 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ( (c1_1 @ a100))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1746])).
% 20.71/3.57 thf(clause170, conjecture,
% 20.71/3.57 (~( ( hskp8 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( ~( c0_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_15, negated_conjecture,
% 20.71/3.57 (( hskp8 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( ~( c0_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause170])).
% 20.71/3.57 thf(zip_derived_cl169, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp8)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_15])).
% 20.71/3.57 thf('10', plain,
% 20.71/3.57 (( (hskp8)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl169])).
% 20.71/3.57 thf(clause150, conjecture,
% 20.71/3.57 (~( ( hskp18 ) | ( hskp28 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_16, negated_conjecture,
% 20.71/3.57 (( hskp18 ) | ( hskp28 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause150])).
% 20.71/3.57 thf(zip_derived_cl149, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp18)
% 20.71/3.57 | (hskp28)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_16])).
% 20.71/3.57 thf(zip_derived_cl522, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl149])).
% 20.71/3.57 thf(clause66, conjecture, (~( ( c1_1 @ a125 ) | ( ~( hskp18 ) ) ))).
% 20.71/3.57 thf(zf_stmt_17, negated_conjecture, (( c1_1 @ a125 ) | ( ~( hskp18 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause66])).
% 20.71/3.57 thf(zip_derived_cl65, plain, (( (c1_1 @ a125) | ~ (hskp18))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_17])).
% 20.71/3.57 thf(zip_derived_cl322, plain, (( (c1_1 @ a125)) <= (( (c1_1 @ a125)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl65])).
% 20.71/3.57 thf(zip_derived_cl970, plain,
% 20.71/3.57 (((~ (c2_1 @ a125) | (c3_1 @ a125)))
% 20.71/3.57 <= (( (c1_1 @ a125)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl522, zip_derived_cl322])).
% 20.71/3.57 thf('11', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a125)) | ( (c3_1 @ a125)) | ~ ( (c1_1 @ a125))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl970])).
% 20.71/3.57 thf(clause139, conjecture,
% 20.71/3.57 (~( ( hskp10 ) | ( hskp20 ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_18, negated_conjecture,
% 20.71/3.57 (( hskp10 ) | ( hskp20 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause139])).
% 20.71/3.57 thf(zip_derived_cl138, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp10)
% 20.71/3.57 | (hskp20)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c0_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_18])).
% 20.71/3.57 thf(zip_derived_cl478, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl138])).
% 20.71/3.57 thf(clause65, conjecture, (~( ( c0_1 @ a125 ) | ( ~( hskp18 ) ) ))).
% 20.71/3.57 thf(zf_stmt_19, negated_conjecture, (( c0_1 @ a125 ) | ( ~( hskp18 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause65])).
% 20.71/3.57 thf(zip_derived_cl64, plain, (( (c0_1 @ a125) | ~ (hskp18))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_19])).
% 20.71/3.57 thf(zip_derived_cl320, plain, (( (c0_1 @ a125)) <= (( (c0_1 @ a125)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl64])).
% 20.71/3.57 thf(zip_derived_cl1270, plain,
% 20.71/3.57 ((( (c2_1 @ a125) | (c3_1 @ a125)))
% 20.71/3.57 <= (( (c0_1 @ a125)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl320])).
% 20.71/3.57 thf('12', plain,
% 20.71/3.57 (( (c2_1 @ a125)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a125)) | ~ ( (c0_1 @ a125))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1270])).
% 20.71/3.57 thf(clause136, conjecture,
% 20.71/3.57 (~( ( hskp3 ) | ( hskp2 ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_20, negated_conjecture,
% 20.71/3.57 (( hskp3 ) | ( hskp2 ) | ( c1_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause136])).
% 20.71/3.57 thf(zip_derived_cl135, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp3)
% 20.71/3.57 | (hskp2)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_20])).
% 20.71/3.57 thf('13', plain,
% 20.71/3.57 (( (hskp2)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) | ( (hskp3))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl135])).
% 20.71/3.57 thf(zip_derived_cl594, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl402, plain, ((~ (c0_1 @ a116)) <= (~ ( (c0_1 @ a116)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl105])).
% 20.71/3.57 thf(zip_derived_cl1909, plain,
% 20.71/3.57 ((( (c2_1 @ a116) | ~ (c3_1 @ a116)))
% 20.71/3.57 <= (~ ( (c0_1 @ a116)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl594, zip_derived_cl402])).
% 20.71/3.57 thf('14', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c2_1 @ a116)) | ~ ( (c3_1 @ a116)) | ( (c0_1 @ a116))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1909])).
% 20.71/3.57 thf(zip_derived_cl577, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl163])).
% 20.71/3.57 thf(clause71, conjecture, (~( ( c0_1 @ a112 ) | ( ~( hskp13 ) ) ))).
% 20.71/3.57 thf(zf_stmt_21, negated_conjecture, (( c0_1 @ a112 ) | ( ~( hskp13 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause71])).
% 20.71/3.57 thf(zip_derived_cl70, plain, (( (c0_1 @ a112) | ~ (hskp13))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_21])).
% 20.71/3.57 thf(zip_derived_cl332, plain, (( (c0_1 @ a112)) <= (( (c0_1 @ a112)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl70])).
% 20.71/3.57 thf(zip_derived_cl1068, plain,
% 20.71/3.57 (((~ (c3_1 @ a112) | (c2_1 @ a112)))
% 20.71/3.57 <= (( (c0_1 @ a112)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl332])).
% 20.71/3.57 thf('15', plain,
% 20.71/3.57 (( (c2_1 @ a112)) |
% 20.71/3.57 ~ (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c0_1 @ a112)) | ~ ( (c3_1 @ a112))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1068])).
% 20.71/3.57 thf(zip_derived_cl467, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl135])).
% 20.71/3.57 thf(clause123, conjecture, (~( ( ~( hskp4 ) ) | ( ~( c0_1 @ a100 ) ) ))).
% 20.71/3.57 thf(zf_stmt_22, negated_conjecture, (( ~( hskp4 ) ) | ( ~( c0_1 @ a100 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause123])).
% 20.71/3.57 thf(zip_derived_cl122, plain, ((~ (hskp4) | ~ (c0_1 @ a100))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_22])).
% 20.71/3.57 thf(zip_derived_cl436, plain, ((~ (c0_1 @ a100)) <= (~ ( (c0_1 @ a100)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl122])).
% 20.71/3.57 thf(zip_derived_cl1152, plain,
% 20.71/3.57 ((( (c1_1 @ a100) | ~ (c3_1 @ a100)))
% 20.71/3.57 <= (~ ( (c0_1 @ a100)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl467, zip_derived_cl436])).
% 20.71/3.57 thf('16', plain,
% 20.71/3.57 (( (c0_1 @ a100)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a100)) | ( (c1_1 @ a100))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1152])).
% 20.71/3.57 thf(zip_derived_cl522, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl149])).
% 20.71/3.57 thf(clause86, conjecture, (~( ( c1_1 @ a98 ) | ( ~( hskp2 ) ) ))).
% 20.71/3.57 thf(zf_stmt_23, negated_conjecture, (( c1_1 @ a98 ) | ( ~( hskp2 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause86])).
% 20.71/3.57 thf(zip_derived_cl85, plain, (( (c1_1 @ a98) | ~ (hskp2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_23])).
% 20.71/3.57 thf(zip_derived_cl362, plain, (( (c1_1 @ a98)) <= (( (c1_1 @ a98)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl85])).
% 20.71/3.57 thf(zip_derived_cl975, plain,
% 20.71/3.57 (((~ (c2_1 @ a98) | (c3_1 @ a98)))
% 20.71/3.57 <= (( (c1_1 @ a98)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl522, zip_derived_cl362])).
% 20.71/3.57 thf('17', plain,
% 20.71/3.57 (~ ( (c2_1 @ a98)) | ( (c3_1 @ a98)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a98))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl975])).
% 20.71/3.57 thf('18', plain, (( (c1_1 @ a98)) | ~ ( (hskp2))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl85])).
% 20.71/3.57 thf(clause127, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c0_1 @ a98 ) ) ))).
% 20.71/3.57 thf(zf_stmt_24, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c0_1 @ a98 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause127])).
% 20.71/3.57 thf(zip_derived_cl126, plain, ((~ (hskp2) | ~ (c0_1 @ a98))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_24])).
% 20.71/3.57 thf('19', plain, (~ ( (c0_1 @ a98)) | ~ ( (hskp2))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl126])).
% 20.71/3.57 thf(clause128, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c3_1 @ a98 ) ) ))).
% 20.71/3.57 thf(zf_stmt_25, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c3_1 @ a98 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause128])).
% 20.71/3.57 thf(zip_derived_cl127, plain, ((~ (hskp2) | ~ (c3_1 @ a98))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_25])).
% 20.71/3.57 thf('20', plain, (~ ( (c3_1 @ a98)) | ~ ( (hskp2))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl127])).
% 20.71/3.57 thf(zip_derived_cl542, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(zip_derived_cl444, plain, ((~ (c0_1 @ a98)) <= (~ ( (c0_1 @ a98)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl126])).
% 20.71/3.57 thf(zip_derived_cl1452, plain,
% 20.71/3.57 (((~ (c1_1 @ a98) | (c2_1 @ a98)))
% 20.71/3.57 <= (~ ( (c0_1 @ a98)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl444])).
% 20.71/3.57 thf('21', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (c1_1 @ a98)) | ( (c0_1 @ a98)) | ( (c2_1 @ a98))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1452])).
% 20.71/3.57 thf(zip_derived_cl542, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(zip_derived_cl518, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl148])).
% 20.71/3.57 thf(zip_derived_cl1438, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c1_1 @ X0) | (c2_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl518])).
% 20.71/3.57 thf(zip_derived_cl1465, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1438])).
% 20.71/3.57 thf(zip_derived_cl342, plain, (( (c1_1 @ a106)) <= (( (c1_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf(zip_derived_cl2553, plain,
% 20.71/3.57 (( (c2_1 @ a106))
% 20.71/3.57 <= (( (c1_1 @ a106)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1465, zip_derived_cl342])).
% 20.71/3.57 thf(clause113, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c2_1 @ a106 ) ) ))).
% 20.71/3.57 thf(zf_stmt_26, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c2_1 @ a106 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause113])).
% 20.71/3.57 thf(zip_derived_cl112, plain, ((~ (hskp10) | ~ (c2_1 @ a106))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_26])).
% 20.71/3.57 thf(zip_derived_cl416, plain, ((~ (c2_1 @ a106)) <= (~ ( (c2_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl112])).
% 20.71/3.57 thf('22', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a106)) | ( (c2_1 @ a106))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl2553, zip_derived_cl416])).
% 20.71/3.57 thf(clause142, conjecture,
% 20.71/3.57 (~( ( hskp11 ) | ( hskp26 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_27, negated_conjecture,
% 20.71/3.57 (( hskp11 ) | ( hskp26 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause142])).
% 20.71/3.57 thf(zip_derived_cl141, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp11)
% 20.71/3.57 | (hskp26)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_27])).
% 20.71/3.57 thf(zip_derived_cl490, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(clause111, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c0_1 @ a109 ) ) ))).
% 20.71/3.57 thf(zf_stmt_28, negated_conjecture, (( ~( hskp11 ) ) | ( ~( c0_1 @ a109 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause111])).
% 20.71/3.57 thf(zip_derived_cl110, plain, ((~ (hskp11) | ~ (c0_1 @ a109))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_28])).
% 20.71/3.57 thf(zip_derived_cl412, plain, ((~ (c0_1 @ a109)) <= (~ ( (c0_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl110])).
% 20.71/3.57 thf(zip_derived_cl1309, plain,
% 20.71/3.57 (((~ (c1_1 @ a109) | ~ (c2_1 @ a109)))
% 20.71/3.57 <= (~ ( (c0_1 @ a109)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl412])).
% 20.71/3.57 thf(zip_derived_cl2134, plain, ((~ (c1_1 @ a109)) <= (~ ( (c1_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1309])).
% 20.71/3.57 thf(zip_derived_cl554, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl2138, plain,
% 20.71/3.57 (((~ (c2_1 @ a109) | (c3_1 @ a109)))
% 20.71/3.57 <= (~ ( (c1_1 @ a109)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl2134, zip_derived_cl554])).
% 20.71/3.57 thf('23', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ( (c1_1 @ a109)) | ( (c3_1 @ a109)) | ~ ( (c2_1 @ a109))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl2138])).
% 20.71/3.57 thf(clause156, conjecture,
% 20.71/3.57 (~( ( hskp0 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 20.71/3.57 ( c2_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_29, negated_conjecture,
% 20.71/3.57 (( hskp0 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause156])).
% 20.71/3.57 thf(zip_derived_cl155, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp0)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_29])).
% 20.71/3.57 thf(zip_derived_cl547, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl155])).
% 20.71/3.57 thf(zip_derived_cl412, plain, ((~ (c0_1 @ a109)) <= (~ ( (c0_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl110])).
% 20.71/3.57 thf(zip_derived_cl1655, plain,
% 20.71/3.57 ((( (c1_1 @ a109) | (c3_1 @ a109)))
% 20.71/3.57 <= (~ ( (c0_1 @ a109)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl547, zip_derived_cl412])).
% 20.71/3.57 thf('24', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c1_1 @ a109)) | ( (c3_1 @ a109)) | ( (c0_1 @ a109))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1655])).
% 20.71/3.57 thf(zip_derived_cl459, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl133])).
% 20.71/3.57 thf(zip_derived_cl412, plain, ((~ (c0_1 @ a109)) <= (~ ( (c0_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl110])).
% 20.71/3.57 thf(zip_derived_cl1014, plain,
% 20.71/3.57 ((( (c1_1 @ a109) | (c2_1 @ a109)))
% 20.71/3.57 <= (~ ( (c0_1 @ a109)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl412])).
% 20.71/3.57 thf(zip_derived_cl3557, plain, (( (c1_1 @ a109)) <= (( (c1_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1014])).
% 20.71/3.57 thf(zip_derived_cl522, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl149])).
% 20.71/3.57 thf(zip_derived_cl3559, plain,
% 20.71/3.57 ((( (c3_1 @ a109) | ~ (c2_1 @ a109)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) &
% 20.71/3.57 ( (c1_1 @ a109)))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl3557, zip_derived_cl522])).
% 20.71/3.57 thf('25', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a109)) | ( (c3_1 @ a109)) | ~ ( (c2_1 @ a109))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl3559])).
% 20.71/3.57 thf(clause143, conjecture,
% 20.71/3.57 (~( ( hskp10 ) | ( hskp14 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_30, negated_conjecture,
% 20.71/3.57 (( hskp10 ) | ( hskp14 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause143])).
% 20.71/3.57 thf(zip_derived_cl142, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp10)
% 20.71/3.57 | (hskp14)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c0_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_30])).
% 20.71/3.57 thf(zip_derived_cl494, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl142])).
% 20.71/3.57 thf(clause63, conjecture, (~( ( c0_1 @ a127 ) | ( ~( hskp19 ) ) ))).
% 20.71/3.57 thf(zf_stmt_31, negated_conjecture, (( c0_1 @ a127 ) | ( ~( hskp19 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause63])).
% 20.71/3.57 thf(zip_derived_cl62, plain, (( (c0_1 @ a127) | ~ (hskp19))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_31])).
% 20.71/3.57 thf(zip_derived_cl316, plain, (( (c0_1 @ a127)) <= (( (c0_1 @ a127)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl62])).
% 20.71/3.57 thf(zip_derived_cl922, plain,
% 20.71/3.57 ((( (c1_1 @ a127) | ~ (c3_1 @ a127)))
% 20.71/3.57 <= (( (c0_1 @ a127)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl316])).
% 20.71/3.57 thf(zip_derived_cl3014, plain, (( (c1_1 @ a127)) <= (( (c1_1 @ a127)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl922])).
% 20.71/3.57 thf(zip_derived_cl522, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl149])).
% 20.71/3.57 thf(zip_derived_cl3016, plain,
% 20.71/3.57 ((( (c3_1 @ a127) | ~ (c2_1 @ a127)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) &
% 20.71/3.57 ( (c1_1 @ a127)))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl3014, zip_derived_cl522])).
% 20.71/3.57 thf('26', plain,
% 20.71/3.57 (( (c3_1 @ a127)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a127)) | ~ ( (c1_1 @ a127))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl3016])).
% 20.71/3.57 thf('27', plain, (~ ( (hskp19)) | ( (c0_1 @ a127))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl62])).
% 20.71/3.57 thf(clause64, conjecture, (~( ( c2_1 @ a127 ) | ( ~( hskp19 ) ) ))).
% 20.71/3.57 thf(zf_stmt_32, negated_conjecture, (( c2_1 @ a127 ) | ( ~( hskp19 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause64])).
% 20.71/3.57 thf(zip_derived_cl63, plain, (( (c2_1 @ a127) | ~ (hskp19))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_32])).
% 20.71/3.57 thf('28', plain, (~ ( (hskp19)) | ( (c2_1 @ a127))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl63])).
% 20.71/3.57 thf(clause99, conjecture, (~( ( ~( hskp19 ) ) | ( ~( c3_1 @ a127 ) ) ))).
% 20.71/3.57 thf(zf_stmt_33, negated_conjecture, (( ~( hskp19 ) ) | ( ~( c3_1 @ a127 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause99])).
% 20.71/3.57 thf(zip_derived_cl98, plain, ((~ (hskp19) | ~ (c3_1 @ a127))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_33])).
% 20.71/3.57 thf('29', plain, (~ ( (hskp19)) | ~ ( (c3_1 @ a127))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl98])).
% 20.71/3.57 thf(clause147, conjecture,
% 20.71/3.57 (~( ( hskp5 ) | ( hskp19 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_34, negated_conjecture,
% 20.71/3.57 (( hskp5 ) | ( hskp19 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause147])).
% 20.71/3.57 thf(zip_derived_cl146, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp5)
% 20.71/3.57 | (hskp19)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_34])).
% 20.71/3.57 thf('30', plain,
% 20.71/3.57 (( (hskp5)) | ( (hskp19)) | ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl146])).
% 20.71/3.57 thf(clause160, conjecture,
% 20.71/3.57 (~( ( c3_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) | ( ~( c0_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_35, negated_conjecture,
% 20.71/3.57 (( c3_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) | ( ~( c0_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause160])).
% 20.71/3.57 thf(zip_derived_cl159, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (c3_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_35])).
% 20.71/3.57 thf(zip_derived_cl563, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(zip_derived_cl316, plain, (( (c0_1 @ a127)) <= (( (c0_1 @ a127)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl62])).
% 20.71/3.57 thf(zip_derived_cl1522, plain,
% 20.71/3.57 ((( (c1_1 @ a127) | (c3_1 @ a127)))
% 20.71/3.57 <= (( (c0_1 @ a127)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl316])).
% 20.71/3.57 thf('31', plain,
% 20.71/3.57 (( (c3_1 @ a127)) | ( (c1_1 @ a127)) | ~ ( (c0_1 @ a127)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1522])).
% 20.71/3.57 thf('32', plain, (~ ( (hskp4)) | ~ ( (c1_1 @ a100))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl123])).
% 20.71/3.57 thf(zip_derived_cl522, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl149])).
% 20.71/3.57 thf(clause53, conjecture, (~( ( c1_1 @ a94 ) | ( ~( hskp26 ) ) ))).
% 20.71/3.57 thf(zf_stmt_36, negated_conjecture, (( c1_1 @ a94 ) | ( ~( hskp26 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause53])).
% 20.71/3.57 thf(zip_derived_cl52, plain, (( (c1_1 @ a94) | ~ (hskp26))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_36])).
% 20.71/3.57 thf(zip_derived_cl296, plain, (( (c1_1 @ a94)) <= (( (c1_1 @ a94)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl52])).
% 20.71/3.57 thf(zip_derived_cl967, plain,
% 20.71/3.57 (((~ (c2_1 @ a94) | (c3_1 @ a94)))
% 20.71/3.57 <= (( (c1_1 @ a94)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl522, zip_derived_cl296])).
% 20.71/3.57 thf('33', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a94)) | ~ ( (c2_1 @ a94)) | ~ ( (c1_1 @ a94))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl967])).
% 20.71/3.57 thf(clause171, conjecture,
% 20.71/3.57 (~( ( hskp1 ) | ( c0_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_37, negated_conjecture,
% 20.71/3.57 (( hskp1 ) | ( c0_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause171])).
% 20.71/3.57 thf(zip_derived_cl170, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp1)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_37])).
% 20.71/3.57 thf('34', plain,
% 20.71/3.57 (( (hskp1)) |
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl170])).
% 20.71/3.57 thf(zip_derived_cl542, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(clause115, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c0_1 @ a104 ) ) ))).
% 20.71/3.57 thf(zf_stmt_38, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c0_1 @ a104 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause115])).
% 20.71/3.57 thf(zip_derived_cl114, plain, ((~ (hskp8) | ~ (c0_1 @ a104))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_38])).
% 20.71/3.57 thf(zip_derived_cl420, plain, ((~ (c0_1 @ a104)) <= (~ ( (c0_1 @ a104)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl114])).
% 20.71/3.57 thf(zip_derived_cl1454, plain,
% 20.71/3.57 (((~ (c1_1 @ a104) | (c2_1 @ a104)))
% 20.71/3.57 <= (~ ( (c0_1 @ a104)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl420])).
% 20.71/3.57 thf('35', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (c1_1 @ a104)) | ( (c0_1 @ a104)) | ( (c2_1 @ a104))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1454])).
% 20.71/3.57 thf(zip_derived_cl543, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(zip_derived_cl420, plain, ((~ (c0_1 @ a104)) <= (~ ( (c0_1 @ a104)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl114])).
% 20.71/3.57 thf(zip_derived_cl1581, plain,
% 20.71/3.57 ((( (c2_1 @ a104) | (c3_1 @ a104)))
% 20.71/3.57 <= (~ ( (c0_1 @ a104)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl543, zip_derived_cl420])).
% 20.71/3.57 thf('36', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c0_1 @ a104)) | ( (c2_1 @ a104)) | ( (c3_1 @ a104))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1581])).
% 20.71/3.57 thf(zip_derived_cl490, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(zip_derived_cl402, plain, ((~ (c0_1 @ a116)) <= (~ ( (c0_1 @ a116)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl105])).
% 20.71/3.57 thf(zip_derived_cl1307, plain,
% 20.71/3.57 (((~ (c1_1 @ a116) | ~ (c2_1 @ a116)))
% 20.71/3.57 <= (~ ( (c0_1 @ a116)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl402])).
% 20.71/3.57 thf('37', plain,
% 20.71/3.57 (~ ( (c2_1 @ a116)) | ( (c0_1 @ a116)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a116))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1307])).
% 20.71/3.57 thf('38', plain, (~ ( (c0_1 @ a116)) | ~ ( (hskp15))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl105])).
% 20.71/3.57 thf('39', plain,
% 20.71/3.57 (~ ( (c1_1 @ a109)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c0_1 @ a109)) | ~ ( (c2_1 @ a109))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1309])).
% 20.71/3.57 thf(clause167, conjecture,
% 20.71/3.57 (~( ( hskp1 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( ~( c2_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_39, negated_conjecture,
% 20.71/3.57 (( hskp1 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( ~( c2_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause167])).
% 20.71/3.57 thf(zip_derived_cl166, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp1)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_39])).
% 20.71/3.57 thf(zip_derived_cl590, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl166])).
% 20.71/3.57 thf(zip_derived_cl412, plain, ((~ (c0_1 @ a109)) <= (~ ( (c0_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl110])).
% 20.71/3.57 thf(zip_derived_cl1881, plain,
% 20.71/3.57 ((( (c1_1 @ a109) | ~ (c2_1 @ a109)))
% 20.71/3.57 <= (~ ( (c0_1 @ a109)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl590, zip_derived_cl412])).
% 20.71/3.57 thf('40', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c1_1 @ a109)) | ( (c0_1 @ a109)) | ~ ( (c2_1 @ a109))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1881])).
% 20.71/3.57 thf(zip_derived_cl577, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl163])).
% 20.71/3.57 thf(zip_derived_cl570, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl161])).
% 20.71/3.57 thf(zip_derived_cl1397, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c3_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl570])).
% 20.71/3.57 thf(zip_derived_cl1401, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1397])).
% 20.71/3.57 thf(zip_derived_cl342, plain, (( (c1_1 @ a106)) <= (( (c1_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf(zip_derived_cl3951, plain,
% 20.71/3.57 (((~ (c3_1 @ a106) | (c2_1 @ a106)))
% 20.71/3.57 <= (( (c1_1 @ a106)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1401, zip_derived_cl342])).
% 20.71/3.57 thf('41', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c3_1 @ a106)) | ~ ( (c1_1 @ a106)) | ( (c2_1 @ a106))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl3951])).
% 20.71/3.57 thf(clause176, conjecture,
% 20.71/3.57 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_40, negated_conjecture,
% 20.71/3.57 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause176])).
% 20.71/3.57 thf(zip_derived_cl175, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c3_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | (c2_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_40])).
% 20.71/3.57 thf('42', plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl175])).
% 20.71/3.57 thf(clause157, conjecture,
% 20.71/3.57 (~( ( hskp9 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( c2_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_41, negated_conjecture,
% 20.71/3.57 (( hskp9 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause157])).
% 20.71/3.57 thf(zip_derived_cl156, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp9)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_41])).
% 20.71/3.57 thf(zip_derived_cl551, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl156])).
% 20.71/3.57 thf(zip_derived_cl420, plain, ((~ (c0_1 @ a104)) <= (~ ( (c0_1 @ a104)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl114])).
% 20.71/3.57 thf(zip_derived_cl1699, plain,
% 20.71/3.57 (((~ (c1_1 @ a104) | (c3_1 @ a104)))
% 20.71/3.57 <= (~ ( (c0_1 @ a104)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl551, zip_derived_cl420])).
% 20.71/3.57 thf('43', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a104)) | ( (c0_1 @ a104)) | ( (c3_1 @ a104))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1699])).
% 20.71/3.57 thf(zip_derived_cl490, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(zip_derived_cl420, plain, ((~ (c0_1 @ a104)) <= (~ ( (c0_1 @ a104)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl114])).
% 20.71/3.57 thf(zip_derived_cl1313, plain,
% 20.71/3.57 (((~ (c1_1 @ a104) | ~ (c2_1 @ a104)))
% 20.71/3.57 <= (~ ( (c0_1 @ a104)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl420])).
% 20.71/3.57 thf(zip_derived_cl2178, plain, ((~ (c1_1 @ a104)) <= (~ ( (c1_1 @ a104)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1313])).
% 20.71/3.57 thf(clause133, conjecture,
% 20.71/3.57 (~( ( hskp1 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) ))).
% 20.71/3.57 thf(zf_stmt_42, negated_conjecture,
% 20.71/3.57 (( hskp1 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause133])).
% 20.71/3.57 thf(zip_derived_cl132, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp1) | (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0) | ~ (ndr1_0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_42])).
% 20.71/3.57 thf(zip_derived_cl456, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl132])).
% 20.71/3.57 thf(zip_derived_cl2180, plain,
% 20.71/3.57 ((( (c3_1 @ a104) | (c2_1 @ a104)))
% 20.71/3.57 <= (~ ( (c1_1 @ a104)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl2178, zip_derived_cl456])).
% 20.71/3.57 thf('44', plain,
% 20.71/3.57 (( (c1_1 @ a104)) | ( (c2_1 @ a104)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a104))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl2180])).
% 20.71/3.57 thf('45', plain, (~ ( (c0_1 @ a104)) | ~ ( (hskp8))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl114])).
% 20.71/3.57 thf(clause116, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c2_1 @ a104 ) ) ))).
% 20.71/3.57 thf(zf_stmt_43, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c2_1 @ a104 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause116])).
% 20.71/3.57 thf(zip_derived_cl115, plain, ((~ (hskp8) | ~ (c2_1 @ a104))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_43])).
% 20.71/3.57 thf('46', plain, (~ ( (c2_1 @ a104)) | ~ ( (hskp8))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl115])).
% 20.71/3.57 thf(clause117, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c3_1 @ a104 ) ) ))).
% 20.71/3.57 thf(zf_stmt_44, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c3_1 @ a104 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause117])).
% 20.71/3.57 thf(zip_derived_cl116, plain, ((~ (hskp8) | ~ (c3_1 @ a104))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_44])).
% 20.71/3.57 thf('47', plain, (~ ( (c3_1 @ a104)) | ~ ( (hskp8))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl116])).
% 20.71/3.57 thf(clause154, conjecture,
% 20.71/3.57 (~( ( hskp8 ) | ( hskp12 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_45, negated_conjecture,
% 20.71/3.57 (( hskp8 ) | ( hskp12 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause154])).
% 20.71/3.57 thf(zip_derived_cl153, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp8)
% 20.71/3.57 | (hskp12)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_45])).
% 20.71/3.57 thf('48', plain,
% 20.71/3.57 (( (hskp8)) | ( (hskp12)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl153])).
% 20.71/3.57 thf(clause163, conjecture,
% 20.71/3.57 (~( ( hskp3 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_46, negated_conjecture,
% 20.71/3.57 (( hskp3 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause163])).
% 20.71/3.57 thf(zip_derived_cl162, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp3)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_46])).
% 20.71/3.57 thf('49', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ( (hskp3)) | ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl162])).
% 20.71/3.57 thf(zip_derived_cl332, plain, (( (c0_1 @ a112)) <= (( (c0_1 @ a112)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl70])).
% 20.71/3.57 thf(clause152, conjecture,
% 20.71/3.57 (~( ( hskp1 ) | ( hskp26 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_47, negated_conjecture,
% 20.71/3.57 (( hskp1 ) | ( hskp26 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause152])).
% 20.71/3.57 thf(zip_derived_cl151, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp1)
% 20.71/3.57 | (hskp26)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c0_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_47])).
% 20.71/3.57 thf(zip_derived_cl530, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl151])).
% 20.71/3.57 thf(zip_derived_cl819, plain,
% 20.71/3.57 (((~ (c3_1 @ a112) | ~ (c2_1 @ a112)))
% 20.71/3.57 <= (( (c0_1 @ a112)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl530])).
% 20.71/3.57 thf('50', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a112)) | ~ ( (c3_1 @ a112)) | ~ ( (c0_1 @ a112))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl819])).
% 20.71/3.57 thf(clause159, conjecture,
% 20.71/3.57 (~( ( hskp14 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 20.71/3.57 ( c1_1 @ U ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_48, negated_conjecture,
% 20.71/3.57 (( hskp14 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 20.71/3.57 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause159])).
% 20.71/3.57 thf(zip_derived_cl158, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp14)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_48])).
% 20.71/3.57 thf(zip_derived_cl559, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl158])).
% 20.71/3.57 thf(zip_derived_cl332, plain, (( (c0_1 @ a112)) <= (( (c0_1 @ a112)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl70])).
% 20.71/3.57 thf(zip_derived_cl1485, plain,
% 20.71/3.57 ((( (c1_1 @ a112) | (c2_1 @ a112)))
% 20.71/3.57 <= (( (c0_1 @ a112)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl332])).
% 20.71/3.57 thf('51', plain,
% 20.71/3.57 (( (c2_1 @ a112)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ( (c1_1 @ a112)) | ~ ( (c0_1 @ a112))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1485])).
% 20.71/3.57 thf(clause83, conjecture, (~( ( c3_1 @ a101 ) | ( ~( hskp5 ) ) ))).
% 20.71/3.57 thf(zf_stmt_49, negated_conjecture, (( c3_1 @ a101 ) | ( ~( hskp5 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause83])).
% 20.71/3.57 thf(zip_derived_cl82, plain, (( (c3_1 @ a101) | ~ (hskp5))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_49])).
% 20.71/3.57 thf('52', plain, (( (c3_1 @ a101)) | ~ ( (hskp5))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl82])).
% 20.71/3.57 thf('53', plain, (~ ( (c1_1 @ a101)) | ~ ( (hskp5))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl120])).
% 20.71/3.57 thf(clause122, conjecture, (~( ( ~( hskp5 ) ) | ( ~( c2_1 @ a101 ) ) ))).
% 20.71/3.57 thf(zf_stmt_50, negated_conjecture, (( ~( hskp5 ) ) | ( ~( c2_1 @ a101 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause122])).
% 20.71/3.57 thf(zip_derived_cl121, plain, ((~ (hskp5) | ~ (c2_1 @ a101))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_50])).
% 20.71/3.57 thf('54', plain, (~ ( (c2_1 @ a101)) | ~ ( (hskp5))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl121])).
% 20.71/3.57 thf(zip_derived_cl558, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl158])).
% 20.71/3.57 thf(zip_derived_cl432, plain, ((~ (c1_1 @ a101)) <= (~ ( (c1_1 @ a101)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl120])).
% 20.71/3.57 thf(zip_derived_cl1824, plain,
% 20.71/3.57 (((~ (c3_1 @ a101) | (c2_1 @ a101)))
% 20.71/3.57 <= (~ ( (c1_1 @ a101)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl432])).
% 20.71/3.57 thf('55', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ( (c1_1 @ a101)) | ( (c2_1 @ a101)) | ~ ( (c3_1 @ a101))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1824])).
% 20.71/3.57 thf(clause166, conjecture,
% 20.71/3.57 (~( ( hskp5 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_51, negated_conjecture,
% 20.71/3.57 (( hskp5 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 20.71/3.57 ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause166])).
% 20.71/3.57 thf(zip_derived_cl165, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp5)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_51])).
% 20.71/3.57 thf('56', plain,
% 20.71/3.57 (( (hskp5)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl165])).
% 20.71/3.57 thf(clause81, conjecture, (~( ( c1_1 @ a102 ) | ( ~( hskp6 ) ) ))).
% 20.71/3.57 thf(zf_stmt_52, negated_conjecture, (( c1_1 @ a102 ) | ( ~( hskp6 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause81])).
% 20.71/3.57 thf(zip_derived_cl80, plain, (( (c1_1 @ a102) | ~ (hskp6))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_52])).
% 20.71/3.57 thf('57', plain, (( (c1_1 @ a102)) | ~ ( (hskp6))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl80])).
% 20.71/3.57 thf(clause82, conjecture, (~( ( c2_1 @ a102 ) | ( ~( hskp6 ) ) ))).
% 20.71/3.57 thf(zf_stmt_53, negated_conjecture, (( c2_1 @ a102 ) | ( ~( hskp6 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause82])).
% 20.71/3.57 thf(zip_derived_cl81, plain, (( (c2_1 @ a102) | ~ (hskp6))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_53])).
% 20.71/3.57 thf('58', plain, (( (c2_1 @ a102)) | ~ ( (hskp6))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl81])).
% 20.71/3.57 thf(clause120, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c3_1 @ a102 ) ) ))).
% 20.71/3.57 thf(zf_stmt_54, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c3_1 @ a102 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause120])).
% 20.71/3.57 thf(zip_derived_cl119, plain, ((~ (hskp6) | ~ (c3_1 @ a102))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_54])).
% 20.71/3.57 thf('59', plain, (~ ( (c3_1 @ a102)) | ~ ( (hskp6))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl119])).
% 20.71/3.57 thf(zip_derived_cl522, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl149])).
% 20.71/3.57 thf(zip_derived_cl352, plain, (( (c1_1 @ a102)) <= (( (c1_1 @ a102)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl80])).
% 20.71/3.57 thf(zip_derived_cl974, plain,
% 20.71/3.57 (((~ (c2_1 @ a102) | (c3_1 @ a102)))
% 20.71/3.57 <= (( (c1_1 @ a102)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl522, zip_derived_cl352])).
% 20.71/3.57 thf('60', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a102)) | ( (c3_1 @ a102)) | ~ ( (c1_1 @ a102))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl974])).
% 20.71/3.57 thf('61', plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) | ( (hskp7))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl160])).
% 20.71/3.57 thf(zip_derived_cl565, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl160])).
% 20.71/3.57 thf(zip_derived_cl436, plain, ((~ (c0_1 @ a100)) <= (~ ( (c0_1 @ a100)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl122])).
% 20.71/3.57 thf(zip_derived_cl1361, plain,
% 20.71/3.57 (((~ (c3_1 @ a100) | ~ (c2_1 @ a100)))
% 20.71/3.57 <= (~ ( (c0_1 @ a100)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl565, zip_derived_cl436])).
% 20.71/3.57 thf('62', plain,
% 20.71/3.57 (( (c0_1 @ a100)) | ~ ( (c2_1 @ a100)) |
% 20.71/3.57 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c3_1 @ a100))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1361])).
% 20.71/3.57 thf(zip_derived_cl594, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(clause91, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c0_1 @ a153 ) ) ))).
% 20.71/3.57 thf(zf_stmt_55, negated_conjecture, (( ~( hskp24 ) ) | ( ~( c0_1 @ a153 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause91])).
% 20.71/3.57 thf(zip_derived_cl90, plain, ((~ (hskp24) | ~ (c0_1 @ a153))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_55])).
% 20.71/3.57 thf(zip_derived_cl372, plain, ((~ (c0_1 @ a153)) <= (~ ( (c0_1 @ a153)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl90])).
% 20.71/3.57 thf(zip_derived_cl1906, plain,
% 20.71/3.57 ((( (c2_1 @ a153) | ~ (c3_1 @ a153)))
% 20.71/3.57 <= (~ ( (c0_1 @ a153)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl594, zip_derived_cl372])).
% 20.71/3.57 thf('63', plain,
% 20.71/3.57 (( (c0_1 @ a153)) | ~ ( (c3_1 @ a153)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c2_1 @ a153))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1906])).
% 20.71/3.57 thf(zip_derived_cl555, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl436, plain, ((~ (c0_1 @ a100)) <= (~ ( (c0_1 @ a100)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl122])).
% 20.71/3.57 thf(zip_derived_cl1786, plain,
% 20.71/3.57 (((~ (c2_1 @ a100) | (c3_1 @ a100)))
% 20.71/3.57 <= (~ ( (c0_1 @ a100)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl555, zip_derived_cl436])).
% 20.71/3.57 thf('64', plain,
% 20.71/3.57 (( (c0_1 @ a100)) | ( (c3_1 @ a100)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a100))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1786])).
% 20.71/3.57 thf(zip_derived_cl543, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(zip_derived_cl372, plain, ((~ (c0_1 @ a153)) <= (~ ( (c0_1 @ a153)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl90])).
% 20.71/3.57 thf(zip_derived_cl1572, plain,
% 20.71/3.57 ((( (c2_1 @ a153) | (c3_1 @ a153)))
% 20.71/3.57 <= (~ ( (c0_1 @ a153)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl543, zip_derived_cl372])).
% 20.71/3.57 thf('65', plain,
% 20.71/3.57 (( (c3_1 @ a153)) | ( (c2_1 @ a153)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c0_1 @ a153))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1572])).
% 20.71/3.57 thf(clause84, conjecture, (~( ( c2_1 @ a100 ) | ( ~( hskp4 ) ) ))).
% 20.71/3.57 thf(zf_stmt_56, negated_conjecture, (( c2_1 @ a100 ) | ( ~( hskp4 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause84])).
% 20.71/3.57 thf(zip_derived_cl83, plain, (( (c2_1 @ a100) | ~ (hskp4))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_56])).
% 20.71/3.57 thf('66', plain, (( (c2_1 @ a100)) | ~ ( (hskp4))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl83])).
% 20.71/3.57 thf('67', plain, (~ ( (hskp4)) | ~ ( (c0_1 @ a100))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl122])).
% 20.71/3.57 thf('68', plain,
% 20.71/3.57 (( (hskp6)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(clause148, conjecture,
% 20.71/3.57 (~( ( hskp4 ) | ( hskp6 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_57, negated_conjecture,
% 20.71/3.57 (( hskp4 ) | ( hskp6 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause148])).
% 20.71/3.57 thf(zip_derived_cl147, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp4)
% 20.71/3.57 | (hskp6)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_57])).
% 20.71/3.57 thf('69', plain,
% 20.71/3.57 (( (hskp6)) | ( (hskp4)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl147])).
% 20.71/3.57 thf(clause80, conjecture, (~( ( c0_1 @ a103 ) | ( ~( hskp7 ) ) ))).
% 20.71/3.57 thf(zf_stmt_58, negated_conjecture, (( c0_1 @ a103 ) | ( ~( hskp7 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause80])).
% 20.71/3.57 thf(zip_derived_cl79, plain, (( (c0_1 @ a103) | ~ (hskp7))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_58])).
% 20.71/3.57 thf('70', plain, (~ ( (hskp7)) | ( (c0_1 @ a103))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl79])).
% 20.71/3.57 thf(clause118, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c1_1 @ a103 ) ) ))).
% 20.71/3.57 thf(zf_stmt_59, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c1_1 @ a103 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause118])).
% 20.71/3.57 thf(zip_derived_cl117, plain, ((~ (hskp7) | ~ (c1_1 @ a103))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_59])).
% 20.71/3.57 thf('71', plain, (~ ( (hskp7)) | ~ ( (c1_1 @ a103))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl117])).
% 20.71/3.57 thf(clause119, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c3_1 @ a103 ) ) ))).
% 20.71/3.57 thf(zf_stmt_60, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c3_1 @ a103 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause119])).
% 20.71/3.57 thf(zip_derived_cl118, plain, ((~ (hskp7) | ~ (c3_1 @ a103))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_60])).
% 20.71/3.57 thf('72', plain, (~ ( (hskp7)) | ~ ( (c3_1 @ a103))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl118])).
% 20.71/3.57 thf(zip_derived_cl563, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(zip_derived_cl350, plain, (( (c0_1 @ a103)) <= (( (c0_1 @ a103)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl79])).
% 20.71/3.57 thf(zip_derived_cl1527, plain,
% 20.71/3.57 ((( (c1_1 @ a103) | (c3_1 @ a103)))
% 20.71/3.57 <= (( (c0_1 @ a103)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl350])).
% 20.71/3.57 thf('73', plain,
% 20.71/3.57 (( (c1_1 @ a103)) | ~ ( (c0_1 @ a103)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a103))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1527])).
% 20.71/3.57 thf(zip_derived_cl542, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl154])).
% 20.71/3.57 thf(zip_derived_cl372, plain, ((~ (c0_1 @ a153)) <= (~ ( (c0_1 @ a153)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl90])).
% 20.71/3.57 thf(zip_derived_cl1445, plain,
% 20.71/3.57 (((~ (c1_1 @ a153) | (c2_1 @ a153)))
% 20.71/3.57 <= (~ ( (c0_1 @ a153)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl372])).
% 20.71/3.57 thf('74', plain,
% 20.71/3.57 (( (c0_1 @ a153)) | ~ ( (c1_1 @ a153)) |
% 20.71/3.57 ~ (![X1 : $i]: ( (c2_1 @ X1) | (c0_1 @ X1) | ~ (c1_1 @ X1))) |
% 20.71/3.57 ( (c2_1 @ a153))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1445])).
% 20.71/3.57 thf(clause56, conjecture, (~( ( c1_1 @ a153 ) | ( ~( hskp24 ) ) ))).
% 20.71/3.57 thf(zf_stmt_61, negated_conjecture, (( c1_1 @ a153 ) | ( ~( hskp24 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause56])).
% 20.71/3.57 thf(zip_derived_cl55, plain, (( (c1_1 @ a153) | ~ (hskp24))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_61])).
% 20.71/3.57 thf('75', plain, (( (c1_1 @ a153)) | ~ ( (hskp24))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl55])).
% 20.71/3.57 thf('76', plain, (~ ( (hskp24)) | ~ ( (c0_1 @ a153))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl90])).
% 20.71/3.57 thf(clause92, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c2_1 @ a153 ) ) ))).
% 20.71/3.57 thf(zf_stmt_62, negated_conjecture, (( ~( hskp24 ) ) | ( ~( c2_1 @ a153 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause92])).
% 20.71/3.57 thf(zip_derived_cl91, plain, ((~ (hskp24) | ~ (c2_1 @ a153))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_62])).
% 20.71/3.57 thf('77', plain, (~ ( (hskp24)) | ~ ( (c2_1 @ a153))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl91])).
% 20.71/3.57 thf(clause40, conjecture, (~( ( hskp11 ) | ( hskp24 ) | ( hskp29 ) ))).
% 20.71/3.57 thf(zf_stmt_63, negated_conjecture, (( hskp11 ) | ( hskp24 ) | ( hskp29 )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause40])).
% 20.71/3.57 thf(zip_derived_cl39, plain, (( (hskp11) | (hskp24) | (hskp29))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_63])).
% 20.71/3.57 thf('78', plain, (( (hskp29)) | ( (hskp24)) | ( (hskp11))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl39])).
% 20.71/3.57 thf(clause172, conjecture,
% 20.71/3.57 (~( ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ W ) | ( c2_1 @ W ) |
% 20.71/3.57 ( c1_1 @ W ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_64, negated_conjecture,
% 20.71/3.57 (( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ W ) | ( c2_1 @ W ) |
% 20.71/3.57 ( c1_1 @ W ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause172])).
% 20.71/3.57 thf(zip_derived_cl171, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c3_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | (c1_1 @ X1)
% 20.71/3.57 | (c3_1 @ X2)
% 20.71/3.57 | (c2_1 @ X2)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c1_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_64])).
% 20.71/3.57 thf('79', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl171])).
% 20.71/3.57 thf(zip_derived_cl586, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl165])).
% 20.71/3.57 thf(clause67, conjecture, (~( ( c1_1 @ a118 ) | ( ~( hskp16 ) ) ))).
% 20.71/3.57 thf(zf_stmt_65, negated_conjecture, (( c1_1 @ a118 ) | ( ~( hskp16 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause67])).
% 20.71/3.57 thf(zip_derived_cl66, plain, (( (c1_1 @ a118) | ~ (hskp16))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_65])).
% 20.71/3.57 thf(zip_derived_cl324, plain, (( (c1_1 @ a118)) <= (( (c1_1 @ a118)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl66])).
% 20.71/3.57 thf(zip_derived_cl1609, plain,
% 20.71/3.57 ((( (c2_1 @ a118) | (c3_1 @ a118)))
% 20.71/3.57 <= (( (c1_1 @ a118)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl586, zip_derived_cl324])).
% 20.71/3.57 thf('80', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a118)) | ( (c2_1 @ a118)) | ( (c3_1 @ a118))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1609])).
% 20.71/3.57 thf('81', plain, (( (c1_1 @ a118)) | ~ ( (hskp16))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl66])).
% 20.71/3.57 thf(clause104, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c2_1 @ a118 ) ) ))).
% 20.71/3.57 thf(zf_stmt_66, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c2_1 @ a118 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause104])).
% 20.71/3.57 thf(zip_derived_cl103, plain, ((~ (hskp16) | ~ (c2_1 @ a118))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_66])).
% 20.71/3.57 thf('82', plain, (~ ( (c2_1 @ a118)) | ~ ( (hskp16))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl103])).
% 20.71/3.57 thf(clause105, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c3_1 @ a118 ) ) ))).
% 20.71/3.57 thf(zf_stmt_67, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c3_1 @ a118 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause105])).
% 20.71/3.57 thf(zip_derived_cl104, plain, ((~ (hskp16) | ~ (c3_1 @ a118))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_67])).
% 20.71/3.57 thf('83', plain, (~ ( (c3_1 @ a118)) | ~ ( (hskp16))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl104])).
% 20.71/3.57 thf(clause169, conjecture,
% 20.71/3.57 (~( ( hskp16 ) | ( c1_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_68, negated_conjecture,
% 20.71/3.57 (( hskp16 ) | ( c1_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause169])).
% 20.71/3.57 thf(zip_derived_cl168, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp16)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_68])).
% 20.71/3.57 thf('84', plain,
% 20.71/3.57 (( (hskp16)) |
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl168])).
% 20.71/3.57 thf(zip_derived_cl558, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl158])).
% 20.71/3.57 thf(clause109, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c1_1 @ a112 ) ) ))).
% 20.71/3.57 thf(zf_stmt_69, negated_conjecture, (( ~( hskp13 ) ) | ( ~( c1_1 @ a112 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause109])).
% 20.71/3.57 thf(zip_derived_cl108, plain, ((~ (hskp13) | ~ (c1_1 @ a112))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_69])).
% 20.71/3.57 thf(zip_derived_cl408, plain, ((~ (c1_1 @ a112)) <= (~ ( (c1_1 @ a112)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl108])).
% 20.71/3.57 thf(zip_derived_cl1821, plain,
% 20.71/3.57 (((~ (c3_1 @ a112) | (c2_1 @ a112)))
% 20.71/3.57 <= (~ ( (c1_1 @ a112)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl408])).
% 20.71/3.57 thf('85', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ( (c2_1 @ a112)) | ( (c1_1 @ a112)) | ~ ( (c3_1 @ a112))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1821])).
% 20.71/3.57 thf(zip_derived_cl563, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(clause70, conjecture, (~( ( c0_1 @ a115 ) | ( ~( hskp14 ) ) ))).
% 20.71/3.57 thf(zf_stmt_70, negated_conjecture, (( c0_1 @ a115 ) | ( ~( hskp14 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause70])).
% 20.71/3.57 thf(zip_derived_cl69, plain, (( (c0_1 @ a115) | ~ (hskp14))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_70])).
% 20.71/3.57 thf(zip_derived_cl330, plain, (( (c0_1 @ a115)) <= (( (c0_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(zip_derived_cl1524, plain,
% 20.71/3.57 ((( (c1_1 @ a115) | (c3_1 @ a115)))
% 20.71/3.57 <= (( (c0_1 @ a115)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl330])).
% 20.71/3.57 thf('86', plain,
% 20.71/3.57 (( (c1_1 @ a115)) | ( (c3_1 @ a115)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c0_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1524])).
% 20.71/3.57 thf(zip_derived_cl559, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl158])).
% 20.71/3.57 thf(zip_derived_cl330, plain, (( (c0_1 @ a115)) <= (( (c0_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(zip_derived_cl1484, plain,
% 20.71/3.57 ((( (c1_1 @ a115) | (c2_1 @ a115)))
% 20.71/3.57 <= (( (c0_1 @ a115)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl330])).
% 20.71/3.57 thf('87', plain,
% 20.71/3.57 (( (c1_1 @ a115)) | ( (c2_1 @ a115)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c0_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1484])).
% 20.71/3.57 thf(clause165, conjecture,
% 20.71/3.57 (~( ( hskp10 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_71, negated_conjecture,
% 20.71/3.57 (( hskp10 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause165])).
% 20.71/3.57 thf(zip_derived_cl164, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i]:
% 20.71/3.57 ( (hskp10)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_71])).
% 20.71/3.57 thf(zip_derived_cl581, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl164])).
% 20.71/3.57 thf(zip_derived_cl330, plain, (( (c0_1 @ a115)) <= (( (c0_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(zip_derived_cl1107, plain,
% 20.71/3.57 ((( (c3_1 @ a115) | ~ (c1_1 @ a115)))
% 20.71/3.57 <= (( (c0_1 @ a115)) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl581, zip_derived_cl330])).
% 20.71/3.57 thf('88', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c1_1 @ a115)) | ( (c3_1 @ a115)) | ~ ( (c0_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1107])).
% 20.71/3.57 thf(clause146, conjecture,
% 20.71/3.57 (~( ( hskp14 ) | ( hskp18 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_72, negated_conjecture,
% 20.71/3.57 (( hskp14 ) | ( hskp18 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause146])).
% 20.71/3.57 thf(zip_derived_cl145, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp14)
% 20.71/3.57 | (hskp18)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_72])).
% 20.71/3.57 thf('89', plain,
% 20.71/3.57 (( (hskp18)) | ( (hskp14)) | ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl145])).
% 20.71/3.57 thf('90', plain, (( (c0_1 @ a125)) | ~ ( (hskp18))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl64])).
% 20.71/3.57 thf('91', plain, (( (c1_1 @ a125)) | ~ ( (hskp18))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl65])).
% 20.71/3.57 thf(clause100, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c3_1 @ a125 ) ) ))).
% 20.71/3.57 thf(zf_stmt_73, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c3_1 @ a125 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause100])).
% 20.71/3.57 thf(zip_derived_cl99, plain, ((~ (hskp18) | ~ (c3_1 @ a125))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_73])).
% 20.71/3.57 thf('92', plain, (~ ( (c3_1 @ a125)) | ~ ( (hskp18))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl99])).
% 20.71/3.57 thf(zip_derived_cl581, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl164])).
% 20.71/3.57 thf(zip_derived_cl320, plain, (( (c0_1 @ a125)) <= (( (c0_1 @ a125)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl64])).
% 20.71/3.57 thf(zip_derived_cl1106, plain,
% 20.71/3.57 ((( (c3_1 @ a125) | ~ (c1_1 @ a125)))
% 20.71/3.57 <= (( (c0_1 @ a125)) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl581, zip_derived_cl320])).
% 20.71/3.57 thf('93', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c0_1 @ a125)) | ( (c3_1 @ a125)) | ~ ( (c1_1 @ a125))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1106])).
% 20.71/3.57 thf(zip_derived_cl562, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(zip_derived_cl332, plain, (( (c0_1 @ a112)) <= (( (c0_1 @ a112)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl70])).
% 20.71/3.57 thf(zip_derived_cl1040, plain,
% 20.71/3.57 ((( (c1_1 @ a112) | ~ (c2_1 @ a112)))
% 20.71/3.57 <= (( (c0_1 @ a112)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl562, zip_derived_cl332])).
% 20.71/3.57 thf('94', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (c2_1 @ a112)) | ~ ( (c0_1 @ a112)) | ( (c1_1 @ a112))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1040])).
% 20.71/3.57 thf('95', plain,
% 20.71/3.57 (( (hskp10)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ( (hskp20)) | ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl138])).
% 20.71/3.57 thf('96', plain,
% 20.71/3.57 (( (hskp10)) | ( (hskp14)) | ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl142])).
% 20.71/3.57 thf(clause72, conjecture, (~( ( c3_1 @ a112 ) | ( ~( hskp13 ) ) ))).
% 20.71/3.57 thf(zf_stmt_74, negated_conjecture, (( c3_1 @ a112 ) | ( ~( hskp13 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause72])).
% 20.71/3.57 thf(zip_derived_cl71, plain, (( (c3_1 @ a112) | ~ (hskp13))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_74])).
% 20.71/3.57 thf('97', plain, (( (c3_1 @ a112)) | ~ ( (hskp13))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl71])).
% 20.71/3.57 thf('98', plain, (~ ( (c1_1 @ a112)) | ~ ( (hskp13))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl108])).
% 20.71/3.57 thf(clause35, conjecture, (~( ( hskp0 ) | ( hskp29 ) | ( hskp20 ) ))).
% 20.71/3.57 thf(zf_stmt_75, negated_conjecture, (( hskp0 ) | ( hskp29 ) | ( hskp20 )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause35])).
% 20.71/3.57 thf(zip_derived_cl34, plain, (( (hskp0) | (hskp29) | (hskp20))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_75])).
% 20.71/3.57 thf('99', plain, (( (hskp29)) | ( (hskp0)) | ( (hskp20))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl34])).
% 20.71/3.57 thf(clause68, conjecture, (~( ( c1_1 @ a116 ) | ( ~( hskp15 ) ) ))).
% 20.71/3.57 thf(zf_stmt_76, negated_conjecture, (( c1_1 @ a116 ) | ( ~( hskp15 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause68])).
% 20.71/3.57 thf(zip_derived_cl67, plain, (( (c1_1 @ a116) | ~ (hskp15))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_76])).
% 20.71/3.57 thf(zip_derived_cl326, plain, (( (c1_1 @ a116)) <= (( (c1_1 @ a116)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl67])).
% 20.71/3.57 thf(clause153, conjecture,
% 20.71/3.57 (~( ( hskp22 ) | ( hskp9 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_77, negated_conjecture,
% 20.71/3.57 (( hskp22 ) | ( hskp9 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause153])).
% 20.71/3.57 thf(zip_derived_cl152, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp22)
% 20.71/3.57 | (hskp9)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_77])).
% 20.71/3.57 thf(zip_derived_cl534, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl152])).
% 20.71/3.57 thf(zip_derived_cl811, plain,
% 20.71/3.57 (((~ (c3_1 @ a116) | ~ (c2_1 @ a116)))
% 20.71/3.57 <= (( (c1_1 @ a116)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl326, zip_derived_cl534])).
% 20.71/3.57 thf('100', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a116)) | ~ ( (c3_1 @ a116)) | ~ ( (c1_1 @ a116))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl811])).
% 20.71/3.57 thf('101', plain, (( (c1_1 @ a116)) | ~ ( (hskp15))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl67])).
% 20.71/3.57 thf(clause69, conjecture, (~( ( c3_1 @ a116 ) | ( ~( hskp15 ) ) ))).
% 20.71/3.57 thf(zf_stmt_78, negated_conjecture, (( c3_1 @ a116 ) | ( ~( hskp15 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause69])).
% 20.71/3.57 thf(zip_derived_cl68, plain, (( (c3_1 @ a116) | ~ (hskp15))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_78])).
% 20.71/3.57 thf('102', plain, (( (c3_1 @ a116)) | ~ ( (hskp15))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl68])).
% 20.71/3.57 thf('103', plain,
% 20.71/3.57 (( (hskp15)) |
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl163])).
% 20.71/3.57 thf(zip_derived_cl494, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl142])).
% 20.71/3.57 thf(clause61, conjecture, (~( ( c0_1 @ a133 ) | ( ~( hskp20 ) ) ))).
% 20.71/3.57 thf(zf_stmt_79, negated_conjecture, (( c0_1 @ a133 ) | ( ~( hskp20 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause61])).
% 20.71/3.57 thf(zip_derived_cl60, plain, (( (c0_1 @ a133) | ~ (hskp20))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_79])).
% 20.71/3.57 thf(zip_derived_cl312, plain, (( (c0_1 @ a133)) <= (( (c0_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl60])).
% 20.71/3.57 thf(zip_derived_cl921, plain,
% 20.71/3.57 ((( (c1_1 @ a133) | ~ (c3_1 @ a133)))
% 20.71/3.57 <= (( (c0_1 @ a133)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl312])).
% 20.71/3.57 thf(zip_derived_cl2988, plain, (( (c1_1 @ a133)) <= (( (c1_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl921])).
% 20.71/3.57 thf(clause175, conjecture,
% 20.71/3.57 (~( ( c2_1 @ W ) | ( c1_1 @ W ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 20.71/3.57 ( c2_1 @ U ) | ( ~( c0_1 @ W ) ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_80, negated_conjecture,
% 20.71/3.57 (( c2_1 @ W ) | ( c1_1 @ W ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 20.71/3.57 ( c2_1 @ U ) | ( ~( c0_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause175])).
% 20.71/3.57 thf(zip_derived_cl174, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | (c1_1 @ X1)
% 20.71/3.57 | (c2_1 @ X2)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_80])).
% 20.71/3.57 thf(zip_derived_cl621, plain,
% 20.71/3.57 ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2)))
% 20.71/3.57 <= ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl174])).
% 20.71/3.57 thf(zip_derived_cl3003, plain,
% 20.71/3.57 (((~ (c3_1 @ a133) | (c2_1 @ a133)))
% 20.71/3.57 <= ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))) &
% 20.71/3.57 ( (c1_1 @ a133)))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl2988, zip_derived_cl621])).
% 20.71/3.57 thf('104', plain,
% 20.71/3.57 (( (c2_1 @ a133)) | ~ ( (c1_1 @ a133)) |
% 20.71/3.57 ~ (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))) |
% 20.71/3.57 ~ ( (c3_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl3003])).
% 20.71/3.57 thf(zip_derived_cl518, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl148])).
% 20.71/3.57 thf(zip_derived_cl312, plain, (( (c0_1 @ a133)) <= (( (c0_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl60])).
% 20.71/3.57 thf(zip_derived_cl945, plain,
% 20.71/3.57 (((~ (c1_1 @ a133) | (c2_1 @ a133)))
% 20.71/3.57 <= (( (c0_1 @ a133)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl312])).
% 20.71/3.57 thf('105', plain,
% 20.71/3.57 (( (c2_1 @ a133)) | ~ ( (c1_1 @ a133)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c0_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl945])).
% 20.71/3.57 thf(zip_derived_cl312, plain, (( (c0_1 @ a133)) <= (( (c0_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl60])).
% 20.71/3.57 thf(zip_derived_cl593, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl780, plain,
% 20.71/3.57 (((~ (c1_1 @ a133) | ~ (c3_1 @ a133)))
% 20.71/3.57 <= (( (c0_1 @ a133)) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl312, zip_derived_cl593])).
% 20.71/3.57 thf('106', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c1_1 @ a133)) | ~ ( (c3_1 @ a133)) | ~ ( (c0_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl780])).
% 20.71/3.57 thf(zip_derived_cl559, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl158])).
% 20.71/3.57 thf(zip_derived_cl312, plain, (( (c0_1 @ a133)) <= (( (c0_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl60])).
% 20.71/3.57 thf(zip_derived_cl1481, plain,
% 20.71/3.57 ((( (c1_1 @ a133) | (c2_1 @ a133)))
% 20.71/3.57 <= (( (c0_1 @ a133)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl312])).
% 20.71/3.57 thf('107', plain,
% 20.71/3.57 (( (c1_1 @ a133)) | ( (c2_1 @ a133)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c0_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1481])).
% 20.71/3.57 thf(zip_derived_cl558, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl158])).
% 20.71/3.57 thf(zip_derived_cl871, plain, ((~ (c1_1 @ a133)) <= (~ ( (c1_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl780])).
% 20.71/3.57 thf(zip_derived_cl1817, plain,
% 20.71/3.57 (((~ (c3_1 @ a133) | (c2_1 @ a133)))
% 20.71/3.57 <= (~ ( (c1_1 @ a133)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl558, zip_derived_cl871])).
% 20.71/3.57 thf('108', plain,
% 20.71/3.57 (~ (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ( (c1_1 @ a133)) | ( (c2_1 @ a133)) | ~ ( (c3_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1817])).
% 20.71/3.57 thf('109', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl174])).
% 20.71/3.57 thf(clause180, conjecture,
% 20.71/3.57 (~( ( c2_1 @ W ) | ( c2_1 @ V ) | ( ~( c1_1 @ W ) ) | ( ~( c0_1 @ W ) ) |
% 20.71/3.57 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_81, negated_conjecture,
% 20.71/3.57 (( c2_1 @ W ) | ( c2_1 @ V ) | ( ~( c1_1 @ W ) ) | ( ~( c0_1 @ W ) ) |
% 20.71/3.57 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause180])).
% 20.71/3.57 thf(zip_derived_cl179, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c2_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (c0_1 @ X0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X2)
% 20.71/3.57 | ~ (c0_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_81])).
% 20.71/3.57 thf('110', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl179])).
% 20.71/3.57 thf(zip_derived_cl577, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl163])).
% 20.71/3.57 thf(zip_derived_cl312, plain, (( (c0_1 @ a133)) <= (( (c0_1 @ a133)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl60])).
% 20.71/3.57 thf(zip_derived_cl1064, plain,
% 20.71/3.57 (((~ (c3_1 @ a133) | (c2_1 @ a133)))
% 20.71/3.57 <= (( (c0_1 @ a133)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl312])).
% 20.71/3.57 thf('111', plain,
% 20.71/3.57 (( (c2_1 @ a133)) | ~ ( (c0_1 @ a133)) |
% 20.71/3.57 ~ (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c3_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1064])).
% 20.71/3.57 thf(clause10, conjecture, (~( ( ndr1_0 ) | ( ~( hskp20 ) ) ))).
% 20.71/3.57 thf(zf_stmt_82, negated_conjecture, (( ndr1_0 ) | ( ~( hskp20 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause10])).
% 20.71/3.57 thf(zip_derived_cl9, plain, (( (ndr1_0) | ~ (hskp20))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_82])).
% 20.71/3.57 thf('112', plain, (( (ndr1_0)) | ~ ( (hskp20))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl9])).
% 20.71/3.57 thf('113', plain, (( (c0_1 @ a133)) | ~ ( (hskp20))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl60])).
% 20.71/3.57 thf(clause62, conjecture, (~( ( c3_1 @ a133 ) | ( ~( hskp20 ) ) ))).
% 20.71/3.57 thf(zf_stmt_83, negated_conjecture, (( c3_1 @ a133 ) | ( ~( hskp20 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause62])).
% 20.71/3.57 thf(zip_derived_cl61, plain, (( (c3_1 @ a133) | ~ (hskp20))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_83])).
% 20.71/3.57 thf('114', plain, (( (c3_1 @ a133)) | ~ ( (hskp20))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl61])).
% 20.71/3.57 thf(clause98, conjecture, (~( ( ~( hskp20 ) ) | ( ~( c2_1 @ a133 ) ) ))).
% 20.71/3.57 thf(zf_stmt_84, negated_conjecture, (( ~( hskp20 ) ) | ( ~( c2_1 @ a133 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause98])).
% 20.71/3.57 thf(zip_derived_cl97, plain, ((~ (hskp20) | ~ (c2_1 @ a133))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_84])).
% 20.71/3.57 thf('115', plain, (~ ( (hskp20)) | ~ ( (c2_1 @ a133))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl97])).
% 20.71/3.57 thf(zip_derived_cl621, plain,
% 20.71/3.57 ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2)))
% 20.71/3.57 <= ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl174])).
% 20.71/3.57 thf(zip_derived_cl326, plain, (( (c1_1 @ a116)) <= (( (c1_1 @ a116)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl67])).
% 20.71/3.57 thf(zip_derived_cl1182, plain,
% 20.71/3.57 ((( (c2_1 @ a116) | ~ (c3_1 @ a116)))
% 20.71/3.57 <= (( (c1_1 @ a116)) &
% 20.71/3.57 (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl621, zip_derived_cl326])).
% 20.71/3.57 thf('116', plain,
% 20.71/3.57 (~ (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))) |
% 20.71/3.57 ( (c2_1 @ a116)) | ~ ( (c1_1 @ a116)) | ~ ( (c3_1 @ a116))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1182])).
% 20.71/3.57 thf('117', plain, (( (c1_1 @ a165)) | ~ ( (hskp29))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl42])).
% 20.71/3.57 thf(clause44, conjecture, (~( ( c2_1 @ a165 ) | ( ~( hskp29 ) ) ))).
% 20.71/3.57 thf(zf_stmt_85, negated_conjecture, (( c2_1 @ a165 ) | ( ~( hskp29 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause44])).
% 20.71/3.57 thf(zip_derived_cl43, plain, (( (c2_1 @ a165) | ~ (hskp29))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_85])).
% 20.71/3.57 thf('118', plain, (( (c2_1 @ a165)) | ~ ( (hskp29))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl43])).
% 20.71/3.57 thf(clause45, conjecture, (~( ( c3_1 @ a165 ) | ( ~( hskp29 ) ) ))).
% 20.71/3.57 thf(zf_stmt_86, negated_conjecture, (( c3_1 @ a165 ) | ( ~( hskp29 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause45])).
% 20.71/3.57 thf(zip_derived_cl44, plain, (( (c3_1 @ a165) | ~ (hskp29))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_86])).
% 20.71/3.57 thf('119', plain, (( (c3_1 @ a165)) | ~ ( (hskp29))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl44])).
% 20.71/3.57 thf(zip_derived_cl276, plain, (( (c1_1 @ a165)) <= (( (c1_1 @ a165)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl42])).
% 20.71/3.57 thf(zip_derived_cl534, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl152])).
% 20.71/3.57 thf(zip_derived_cl670, plain,
% 20.71/3.57 (((~ (c3_1 @ a165) | ~ (c2_1 @ a165)))
% 20.71/3.57 <= (( (c1_1 @ a165)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl534])).
% 20.71/3.57 thf('120', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c1_1 @ a165)) | ~ ( (c2_1 @ a165)) | ~ ( (c3_1 @ a165))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl670])).
% 20.71/3.57 thf('121', plain,
% 20.71/3.57 (( (hskp10)) |
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl570, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl161])).
% 20.71/3.57 thf(clause110, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c0_1 @ a110 ) ) ))).
% 20.71/3.57 thf(zf_stmt_87, negated_conjecture, (( ~( hskp12 ) ) | ( ~( c0_1 @ a110 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause110])).
% 20.71/3.57 thf(zip_derived_cl109, plain, ((~ (hskp12) | ~ (c0_1 @ a110))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_87])).
% 20.71/3.57 thf(zip_derived_cl410, plain, ((~ (c0_1 @ a110)) <= (~ ( (c0_1 @ a110)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl109])).
% 20.71/3.57 thf(zip_derived_cl1391, plain,
% 20.71/3.57 (((~ (c1_1 @ a110) | ~ (c3_1 @ a110)))
% 20.71/3.57 <= (~ ( (c0_1 @ a110)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl410])).
% 20.71/3.57 thf('122', plain,
% 20.71/3.57 (( (c0_1 @ a110)) | ~ ( (c1_1 @ a110)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a110))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1391])).
% 20.71/3.57 thf('123', plain,
% 20.71/3.57 (( (hskp10)) |
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl164])).
% 20.71/3.57 thf(clause179, conjecture,
% 20.71/3.57 (~( ( c0_1 @ W ) | ( c2_1 @ V ) | ( ~( c2_1 @ W ) ) | ( ~( c1_1 @ W ) ) |
% 20.71/3.57 ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_88, negated_conjecture,
% 20.71/3.57 (( c0_1 @ W ) | ( c2_1 @ V ) | ( ~( c2_1 @ W ) ) | ( ~( c1_1 @ W ) ) |
% 20.71/3.57 ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause179])).
% 20.71/3.57 thf(zip_derived_cl178, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c0_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c2_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X2)
% 20.71/3.57 | ~ (c0_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_88])).
% 20.71/3.57 thf('124', plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X2 : $i]: (~ (c2_1 @ X2) | ~ (c1_1 @ X2) | ~ (c0_1 @ X2)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl178])).
% 20.71/3.57 thf(zip_derived_cl581, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl164])).
% 20.71/3.57 thf(zip_derived_cl555, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl1794, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 ( (c3_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl581, zip_derived_cl555])).
% 20.71/3.57 thf(zip_derived_cl1799, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1794])).
% 20.71/3.57 thf(zip_derived_cl296, plain, (( (c1_1 @ a94)) <= (( (c1_1 @ a94)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl52])).
% 20.71/3.57 thf(zip_derived_cl4359, plain,
% 20.71/3.57 ((( (c3_1 @ a94) | ~ (c2_1 @ a94)))
% 20.71/3.57 <= (( (c1_1 @ a94)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1799, zip_derived_cl296])).
% 20.71/3.57 thf('125', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c1_1 @ a94)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a94)) | ( (c3_1 @ a94))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl4359])).
% 20.71/3.57 thf(clause52, conjecture, (~( ( c0_1 @ a94 ) | ( ~( hskp26 ) ) ))).
% 20.71/3.57 thf(zf_stmt_89, negated_conjecture, (( c0_1 @ a94 ) | ( ~( hskp26 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause52])).
% 20.71/3.57 thf(zip_derived_cl51, plain, (( (c0_1 @ a94) | ~ (hskp26))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_89])).
% 20.71/3.57 thf(zip_derived_cl294, plain, (( (c0_1 @ a94)) <= (( (c0_1 @ a94)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl51])).
% 20.71/3.57 thf(zip_derived_cl530, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl151])).
% 20.71/3.57 thf(zip_derived_cl725, plain,
% 20.71/3.57 (((~ (c3_1 @ a94) | ~ (c2_1 @ a94)))
% 20.71/3.57 <= (( (c0_1 @ a94)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl530])).
% 20.71/3.57 thf('126', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a94)) | ~ ( (c0_1 @ a94)) | ~ ( (c2_1 @ a94))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl725])).
% 20.71/3.57 thf('127', plain, (( (c0_1 @ a94)) | ~ ( (hskp26))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl51])).
% 20.71/3.57 thf('128', plain, (( (c1_1 @ a94)) | ~ ( (hskp26))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl52])).
% 20.71/3.57 thf(clause54, conjecture, (~( ( c2_1 @ a94 ) | ( ~( hskp26 ) ) ))).
% 20.71/3.57 thf(zf_stmt_90, negated_conjecture, (( c2_1 @ a94 ) | ( ~( hskp26 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause54])).
% 20.71/3.57 thf(zip_derived_cl53, plain, (( (c2_1 @ a94) | ~ (hskp26))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_90])).
% 20.71/3.57 thf('129', plain, (( (c2_1 @ a94)) | ~ ( (hskp26))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl53])).
% 20.71/3.57 thf('130', plain,
% 20.71/3.57 (( (hskp26)) |
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) | ( (hskp11))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(zip_derived_cl490, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(zip_derived_cl410, plain, ((~ (c0_1 @ a110)) <= (~ ( (c0_1 @ a110)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl109])).
% 20.71/3.57 thf(zip_derived_cl1308, plain,
% 20.71/3.57 (((~ (c1_1 @ a110) | ~ (c2_1 @ a110)))
% 20.71/3.57 <= (~ ( (c0_1 @ a110)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl410])).
% 20.71/3.57 thf('131', plain,
% 20.71/3.57 (( (c0_1 @ a110)) | ~ ( (c1_1 @ a110)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a110))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1308])).
% 20.71/3.57 thf(clause174, conjecture,
% 20.71/3.57 (~( ( c2_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( c1_1 @ U ) | ( ~( c3_1 @ W ) ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_91, negated_conjecture,
% 20.71/3.57 (( c2_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 20.71/3.57 ( c1_1 @ U ) | ( ~( c3_1 @ W ) ) | ( ~( c3_1 @ V ) ) |
% 20.71/3.57 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause174])).
% 20.71/3.57 thf(zip_derived_cl173, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c2_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c0_1 @ X1)
% 20.71/3.57 | (c3_1 @ X2)
% 20.71/3.57 | (c1_1 @ X2)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c3_1 @ X1)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c0_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_91])).
% 20.71/3.57 thf('132', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl173])).
% 20.71/3.57 thf('133', plain,
% 20.71/3.57 (( (hskp1)) |
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl166])).
% 20.71/3.57 thf(zip_derived_cl1988, plain, ((~ (c1_1 @ a110)) <= (~ ( (c1_1 @ a110)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1308])).
% 20.71/3.57 thf(clause138, conjecture,
% 20.71/3.57 (~( ( hskp13 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_92, negated_conjecture,
% 20.71/3.57 (( hskp13 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 20.71/3.57 ( ~( c2_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause138])).
% 20.71/3.57 thf(zip_derived_cl137, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp13) | (c1_1 @ X0) | ~ (ndr1_0) | ~ (c3_1 @ X0) | ~ (c2_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_92])).
% 20.71/3.57 thf(zip_derived_cl475, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl137])).
% 20.71/3.57 thf(zip_derived_cl1991, plain,
% 20.71/3.57 (((~ (c3_1 @ a110) | ~ (c2_1 @ a110)))
% 20.71/3.57 <= (~ ( (c1_1 @ a110)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1988, zip_derived_cl475])).
% 20.71/3.57 thf('134', plain,
% 20.71/3.57 (( (c1_1 @ a110)) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a110)) | ~ ( (c3_1 @ a110))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1991])).
% 20.71/3.57 thf(zip_derived_cl590, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl166])).
% 20.71/3.57 thf(zip_derived_cl562, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(zip_derived_cl1871, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 ( (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl590, zip_derived_cl562])).
% 20.71/3.57 thf(zip_derived_cl1893, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1871])).
% 20.71/3.57 thf(clause125, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c1_1 @ a99 ) ) ))).
% 20.71/3.57 thf(zf_stmt_93, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c1_1 @ a99 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause125])).
% 20.71/3.57 thf(zip_derived_cl124, plain, ((~ (hskp3) | ~ (c1_1 @ a99))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_93])).
% 20.71/3.57 thf(zip_derived_cl440, plain, ((~ (c1_1 @ a99)) <= (~ ( (c1_1 @ a99)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl124])).
% 20.71/3.57 thf(zip_derived_cl2843, plain,
% 20.71/3.57 ((~ (c2_1 @ a99))
% 20.71/3.57 <= (~ ( (c1_1 @ a99)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl1893, zip_derived_cl440])).
% 20.71/3.57 thf(clause85, conjecture, (~( ( c2_1 @ a99 ) | ( ~( hskp3 ) ) ))).
% 20.71/3.57 thf(zf_stmt_94, negated_conjecture, (( c2_1 @ a99 ) | ( ~( hskp3 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause85])).
% 20.71/3.57 thf(zip_derived_cl84, plain, (( (c2_1 @ a99) | ~ (hskp3))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_94])).
% 20.71/3.57 thf(zip_derived_cl360, plain, (( (c2_1 @ a99)) <= (( (c2_1 @ a99)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl84])).
% 20.71/3.57 thf('135', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (c2_1 @ a99)) | ( (c1_1 @ a99))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl2843, zip_derived_cl360])).
% 20.71/3.57 thf('136', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c0_1 @ X1) | (c1_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(zip_derived_cl563, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl159])).
% 20.71/3.57 thf(zip_derived_cl555, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl1791, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 ( (c1_1 @ X0) | (c3_1 @ X0) | (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl555])).
% 20.71/3.57 thf(zip_derived_cl1797, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | (c3_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1791])).
% 20.71/3.57 thf(zip_derived_cl440, plain, ((~ (c1_1 @ a99)) <= (~ ( (c1_1 @ a99)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl124])).
% 20.71/3.57 thf(zip_derived_cl7954, plain,
% 20.71/3.57 ((( (c3_1 @ a99) | ~ (c2_1 @ a99)))
% 20.71/3.57 <= (~ ( (c1_1 @ a99)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl1797, zip_derived_cl440])).
% 20.71/3.57 thf('137', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a99)) | ( (c1_1 @ a99)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a99))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl7954])).
% 20.71/3.57 thf(zip_derived_cl594, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl577, plain,
% 20.71/3.57 ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl163])).
% 20.71/3.57 thf(zip_derived_cl1902, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 ( (c2_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl594, zip_derived_cl577])).
% 20.71/3.57 thf(zip_derived_cl1922, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0)))
% 20.71/3.57 <= ((![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1902])).
% 20.71/3.57 thf(zip_derived_cl416, plain, ((~ (c2_1 @ a106)) <= (~ ( (c2_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl112])).
% 20.71/3.57 thf(zip_derived_cl2894, plain,
% 20.71/3.57 ((~ (c3_1 @ a106))
% 20.71/3.57 <= (~ ( (c2_1 @ a106)) &
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)],
% 20.71/3.57 [zip_derived_cl1922, zip_derived_cl416])).
% 20.71/3.57 thf(clause77, conjecture, (~( ( c3_1 @ a106 ) | ( ~( hskp10 ) ) ))).
% 20.71/3.57 thf(zf_stmt_95, negated_conjecture, (( c3_1 @ a106 ) | ( ~( hskp10 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause77])).
% 20.71/3.57 thf(zip_derived_cl76, plain, (( (c3_1 @ a106) | ~ (hskp10))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_95])).
% 20.71/3.57 thf(zip_derived_cl344, plain, (( (c3_1 @ a106)) <= (( (c3_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl76])).
% 20.71/3.57 thf('138', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X1 : $i]: ( (c2_1 @ X1) | ~ (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ( (c2_1 @ a106)) | ~ ( (c3_1 @ a106))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl2894, zip_derived_cl344])).
% 20.71/3.57 thf(zip_derived_cl554, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl440, plain, ((~ (c1_1 @ a99)) <= (~ ( (c1_1 @ a99)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl124])).
% 20.71/3.57 thf(zip_derived_cl1747, plain,
% 20.71/3.57 ((( (c3_1 @ a99) | ~ (c2_1 @ a99)))
% 20.71/3.57 <= (~ ( (c1_1 @ a99)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl554, zip_derived_cl440])).
% 20.71/3.57 thf('139', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c2_1 @ a99)) | ( (c1_1 @ a99)) | ( (c3_1 @ a99))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1747])).
% 20.71/3.57 thf('140', plain, (( (c2_1 @ a99)) | ~ ( (hskp3))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl84])).
% 20.71/3.57 thf('141', plain, (~ ( (c1_1 @ a99)) | ~ ( (hskp3))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl124])).
% 20.71/3.57 thf(clause126, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c3_1 @ a99 ) ) ))).
% 20.71/3.57 thf(zf_stmt_96, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c3_1 @ a99 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause126])).
% 20.71/3.57 thf(zip_derived_cl125, plain, ((~ (hskp3) | ~ (c3_1 @ a99))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_96])).
% 20.71/3.57 thf('142', plain, (~ ( (c3_1 @ a99)) | ~ ( (hskp3))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl125])).
% 20.71/3.57 thf(clause39, conjecture, (~( ( hskp3 ) | ( hskp1 ) | ( hskp14 ) ))).
% 20.71/3.57 thf(zf_stmt_97, negated_conjecture, (( hskp3 ) | ( hskp1 ) | ( hskp14 )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause39])).
% 20.71/3.57 thf(zip_derived_cl38, plain, (( (hskp3) | (hskp1) | (hskp14))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_97])).
% 20.71/3.57 thf('143', plain, (( (hskp1)) | ( (hskp3)) | ( (hskp14))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl38])).
% 20.71/3.57 thf(clause101, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c0_1 @ a124 ) ) ))).
% 20.71/3.57 thf(zf_stmt_98, negated_conjecture, (( ~( hskp17 ) ) | ( ~( c0_1 @ a124 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause101])).
% 20.71/3.57 thf(zip_derived_cl100, plain, ((~ (hskp17) | ~ (c0_1 @ a124))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_98])).
% 20.71/3.57 thf('144', plain, (~ ( (hskp17)) | ~ ( (c0_1 @ a124))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl100])).
% 20.71/3.57 thf(clause102, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c1_1 @ a124 ) ) ))).
% 20.71/3.57 thf(zf_stmt_99, negated_conjecture, (( ~( hskp17 ) ) | ( ~( c1_1 @ a124 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause102])).
% 20.71/3.57 thf(zip_derived_cl101, plain, ((~ (hskp17) | ~ (c1_1 @ a124))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_99])).
% 20.71/3.57 thf('145', plain, (~ ( (hskp17)) | ~ ( (c1_1 @ a124))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl101])).
% 20.71/3.57 thf(clause103, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c3_1 @ a124 ) ) ))).
% 20.71/3.57 thf(zf_stmt_100, negated_conjecture,
% 20.71/3.57 (( ~( hskp17 ) ) | ( ~( c3_1 @ a124 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause103])).
% 20.71/3.57 thf(zip_derived_cl102, plain, ((~ (hskp17) | ~ (c3_1 @ a124))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_100])).
% 20.71/3.57 thf('146', plain, (~ ( (hskp17)) | ~ ( (c3_1 @ a124))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl102])).
% 20.71/3.57 thf('147', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (hskp0)) | ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl155])).
% 20.71/3.57 thf(clause141, conjecture,
% 20.71/3.57 (~( ( hskp17 ) | ( hskp1 ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_101, negated_conjecture,
% 20.71/3.57 (( hskp17 ) | ( hskp1 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause141])).
% 20.71/3.57 thf(zip_derived_cl140, plain,
% 20.71/3.57 (![X0 : $i]:
% 20.71/3.57 ( (hskp17)
% 20.71/3.57 | (hskp1)
% 20.71/3.57 | (c3_1 @ X0)
% 20.71/3.57 | (c2_1 @ X0)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c0_1 @ X0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_101])).
% 20.71/3.57 thf('148', plain,
% 20.71/3.57 (( (hskp1)) | ( (hskp17)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl140])).
% 20.71/3.57 thf(zip_derived_cl478, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl138])).
% 20.71/3.57 thf(zip_derived_cl330, plain, (( (c0_1 @ a115)) <= (( (c0_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(zip_derived_cl1271, plain,
% 20.71/3.57 ((( (c2_1 @ a115) | (c3_1 @ a115)))
% 20.71/3.57 <= (( (c0_1 @ a115)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl330])).
% 20.71/3.57 thf('149', plain,
% 20.71/3.57 (( (c2_1 @ a115)) | ~ ( (c0_1 @ a115)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1271])).
% 20.71/3.57 thf(zip_derived_cl547, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl155])).
% 20.71/3.57 thf(zip_derived_cl392, plain, ((~ (c0_1 @ a124)) <= (~ ( (c0_1 @ a124)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl100])).
% 20.71/3.57 thf(zip_derived_cl1658, plain,
% 20.71/3.57 ((( (c1_1 @ a124) | (c3_1 @ a124)))
% 20.71/3.57 <= (~ ( (c0_1 @ a124)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl547, zip_derived_cl392])).
% 20.71/3.57 thf('150', plain,
% 20.71/3.57 (( (c0_1 @ a124)) | ( (c1_1 @ a124)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a124))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1658])).
% 20.71/3.57 thf(clause130, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c1_1 @ a96 ) ) ))).
% 20.71/3.57 thf(zf_stmt_102, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c1_1 @ a96 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause130])).
% 20.71/3.57 thf(zip_derived_cl129, plain, ((~ (hskp0) | ~ (c1_1 @ a96))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_102])).
% 20.71/3.57 thf('151', plain, (~ ( (hskp0)) | ~ ( (c1_1 @ a96))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl129])).
% 20.71/3.57 thf(clause131, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c2_1 @ a96 ) ) ))).
% 20.71/3.57 thf(zf_stmt_103, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c2_1 @ a96 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause131])).
% 20.71/3.57 thf(zip_derived_cl130, plain, ((~ (hskp0) | ~ (c2_1 @ a96))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_103])).
% 20.71/3.57 thf('152', plain, (~ ( (hskp0)) | ~ ( (c2_1 @ a96))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl130])).
% 20.71/3.57 thf(clause132, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c3_1 @ a96 ) ) ))).
% 20.71/3.57 thf(zf_stmt_104, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c3_1 @ a96 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause132])).
% 20.71/3.57 thf(zip_derived_cl131, plain, ((~ (hskp0) | ~ (c3_1 @ a96))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_104])).
% 20.71/3.57 thf('153', plain, (~ ( (hskp0)) | ~ ( (c3_1 @ a96))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl131])).
% 20.71/3.57 thf(zip_derived_cl456, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl132])).
% 20.71/3.57 thf(zip_derived_cl450, plain, ((~ (c1_1 @ a96)) <= (~ ( (c1_1 @ a96)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl129])).
% 20.71/3.57 thf(zip_derived_cl906, plain,
% 20.71/3.57 ((( (c2_1 @ a96) | (c3_1 @ a96)))
% 20.71/3.57 <= (~ ( (c1_1 @ a96)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl456, zip_derived_cl450])).
% 20.71/3.57 thf('154', plain,
% 20.71/3.57 (( (c1_1 @ a96)) | ( (c2_1 @ a96)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ( (c3_1 @ a96))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl906])).
% 20.71/3.57 thf(clause30, conjecture, (~( ( ndr1_0 ) | ( ~( hskp0 ) ) ))).
% 20.71/3.57 thf(zf_stmt_105, negated_conjecture, (( ndr1_0 ) | ( ~( hskp0 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause30])).
% 20.71/3.57 thf(zip_derived_cl29, plain, (( (ndr1_0) | ~ (hskp0))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_105])).
% 20.71/3.57 thf('155', plain, (( (ndr1_0)) | ~ ( (hskp0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl29])).
% 20.71/3.57 thf('156', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ( (hskp1)) | ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl132])).
% 20.71/3.57 thf(clause87, conjecture, (~( ( c2_1 @ a97 ) | ( ~( hskp1 ) ) ))).
% 20.71/3.57 thf(zf_stmt_106, negated_conjecture, (( c2_1 @ a97 ) | ( ~( hskp1 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause87])).
% 20.71/3.57 thf(zip_derived_cl86, plain, (( (c2_1 @ a97) | ~ (hskp1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_106])).
% 20.71/3.57 thf('157', plain, (( (c2_1 @ a97)) | ~ ( (hskp1))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl86])).
% 20.71/3.57 thf(clause88, conjecture, (~( ( c3_1 @ a97 ) | ( ~( hskp1 ) ) ))).
% 20.71/3.57 thf(zf_stmt_107, negated_conjecture, (( c3_1 @ a97 ) | ( ~( hskp1 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause88])).
% 20.71/3.57 thf(zip_derived_cl87, plain, (( (c3_1 @ a97) | ~ (hskp1))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_107])).
% 20.71/3.57 thf('158', plain, (( (c3_1 @ a97)) | ~ ( (hskp1))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl87])).
% 20.71/3.57 thf(clause129, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c1_1 @ a97 ) ) ))).
% 20.71/3.57 thf(zf_stmt_108, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c1_1 @ a97 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause129])).
% 20.71/3.57 thf(zip_derived_cl128, plain, ((~ (hskp1) | ~ (c1_1 @ a97))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_108])).
% 20.71/3.57 thf('159', plain, (~ ( (c1_1 @ a97)) | ~ ( (hskp1))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl128])).
% 20.71/3.57 thf(zip_derived_cl475, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl137])).
% 20.71/3.57 thf(zip_derived_cl448, plain, ((~ (c1_1 @ a97)) <= (~ ( (c1_1 @ a97)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl128])).
% 20.71/3.57 thf(zip_derived_cl1231, plain,
% 20.71/3.57 (((~ (c2_1 @ a97) | ~ (c3_1 @ a97)))
% 20.71/3.57 <= (~ ( (c1_1 @ a97)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl448])).
% 20.71/3.57 thf('160', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a97)) | ( (c1_1 @ a97)) | ~ ( (c2_1 @ a97))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1231])).
% 20.71/3.57 thf(zip_derived_cl530, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl151])).
% 20.71/3.57 thf(zip_derived_cl490, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(zip_derived_cl1316, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c2_1 @ X0) | ~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl530, zip_derived_cl490])).
% 20.71/3.57 thf(zip_derived_cl1323, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1316])).
% 20.71/3.57 thf(zip_derived_cl276, plain, (( (c1_1 @ a165)) <= (( (c1_1 @ a165)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl42])).
% 20.71/3.57 thf(zip_derived_cl2319, plain,
% 20.71/3.57 (((~ (c2_1 @ a165) | ~ (c3_1 @ a165)))
% 20.71/3.57 <= (( (c1_1 @ a165)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1323, zip_derived_cl276])).
% 20.71/3.57 thf('161', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c3_1 @ a165)) | ~ ( (c2_1 @ a165)) | ~ ( (c1_1 @ a165))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl2319])).
% 20.71/3.57 thf('162', plain,
% 20.71/3.57 (( (hskp13)) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl137])).
% 20.71/3.57 thf('163', plain, (( (c0_1 @ a112)) | ~ ( (hskp13))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl70])).
% 20.71/3.57 thf(zip_derived_cl494, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl142])).
% 20.71/3.57 thf(zip_derived_cl332, plain, (( (c0_1 @ a112)) <= (( (c0_1 @ a112)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl70])).
% 20.71/3.57 thf(zip_derived_cl925, plain,
% 20.71/3.57 ((( (c1_1 @ a112) | ~ (c3_1 @ a112)))
% 20.71/3.57 <= (( (c0_1 @ a112)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl332])).
% 20.71/3.57 thf('164', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c0_1 @ a112)) | ~ ( (c3_1 @ a112)) | ( (c1_1 @ a112))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl925])).
% 20.71/3.57 thf(clause16, conjecture, (~( ( ndr1_0 ) | ( ~( hskp14 ) ) ))).
% 20.71/3.57 thf(zf_stmt_109, negated_conjecture, (( ndr1_0 ) | ( ~( hskp14 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause16])).
% 20.71/3.57 thf(zip_derived_cl15, plain, (( (ndr1_0) | ~ (hskp14))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_109])).
% 20.71/3.57 thf('165', plain, (( (ndr1_0)) | ~ ( (hskp14))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl15])).
% 20.71/3.57 thf(clause21, conjecture, (~( ( ndr1_0 ) | ( ~( hskp9 ) ) ))).
% 20.71/3.57 thf(zf_stmt_110, negated_conjecture, (( ndr1_0 ) | ( ~( hskp9 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause21])).
% 20.71/3.57 thf(zip_derived_cl20, plain, (( (ndr1_0) | ~ (hskp9))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_110])).
% 20.71/3.57 thf('166', plain, (( (ndr1_0)) | ~ ( (hskp9))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl20])).
% 20.71/3.57 thf(clause28, conjecture, (~( ( ndr1_0 ) | ( ~( hskp2 ) ) ))).
% 20.71/3.57 thf(zf_stmt_111, negated_conjecture, (( ndr1_0 ) | ( ~( hskp2 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause28])).
% 20.71/3.57 thf(zip_derived_cl27, plain, (( (ndr1_0) | ~ (hskp2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_111])).
% 20.71/3.57 thf('167', plain, (( (ndr1_0)) | ~ ( (hskp2))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl27])).
% 20.71/3.57 thf(clause34, conjecture, (~( ( hskp2 ) | ( hskp14 ) | ( hskp9 ) ))).
% 20.71/3.57 thf(zf_stmt_112, negated_conjecture, (( hskp2 ) | ( hskp14 ) | ( hskp9 )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause34])).
% 20.71/3.57 thf(zip_derived_cl33, plain, (( (hskp2) | (hskp14) | (hskp9))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_112])).
% 20.71/3.57 thf('168', plain, (( (hskp9)) | ( (hskp2)) | ( (hskp14))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl33])).
% 20.71/3.57 thf('169', plain, (( (c1_1 @ a106)) | ~ ( (hskp10))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf('170', plain, (( (c3_1 @ a106)) | ~ ( (hskp10))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl76])).
% 20.71/3.57 thf('171', plain, (~ ( (c2_1 @ a106)) | ~ ( (hskp10))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl112])).
% 20.71/3.57 thf(zip_derived_cl621, plain,
% 20.71/3.57 ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2)))
% 20.71/3.57 <= ((![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl174])).
% 20.71/3.57 thf(zip_derived_cl342, plain, (( (c1_1 @ a106)) <= (( (c1_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf(zip_derived_cl1183, plain,
% 20.71/3.57 ((( (c2_1 @ a106) | ~ (c3_1 @ a106)))
% 20.71/3.57 <= (( (c1_1 @ a106)) &
% 20.71/3.57 (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl621, zip_derived_cl342])).
% 20.71/3.57 thf('172', plain,
% 20.71/3.57 (~ (![X2 : $i]: (~ (c3_1 @ X2) | (c2_1 @ X2) | ~ (c1_1 @ X2))) |
% 20.71/3.57 ~ ( (c1_1 @ a106)) | ~ ( (c3_1 @ a106)) | ( (c2_1 @ a106))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1183])).
% 20.71/3.57 thf(zip_derived_cl637, plain,
% 20.71/3.57 ((![X2 : $i]: (~ (c2_1 @ X2) | ~ (c1_1 @ X2) | ~ (c0_1 @ X2)))
% 20.71/3.57 <= ((![X2 : $i]: (~ (c2_1 @ X2) | ~ (c1_1 @ X2) | ~ (c0_1 @ X2))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl178])).
% 20.71/3.57 thf(zip_derived_cl294, plain, (( (c0_1 @ a94)) <= (( (c0_1 @ a94)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl51])).
% 20.71/3.57 thf(zip_derived_cl733, plain,
% 20.71/3.57 (((~ (c1_1 @ a94) | ~ (c2_1 @ a94)))
% 20.71/3.57 <= (( (c0_1 @ a94)) &
% 20.71/3.57 (![X2 : $i]: (~ (c2_1 @ X2) | ~ (c1_1 @ X2) | ~ (c0_1 @ X2))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl637, zip_derived_cl294])).
% 20.71/3.57 thf('173', plain,
% 20.71/3.57 (~ (![X2 : $i]: (~ (c2_1 @ X2) | ~ (c1_1 @ X2) | ~ (c0_1 @ X2))) |
% 20.71/3.57 ~ ( (c2_1 @ a94)) | ~ ( (c1_1 @ a94)) | ~ ( (c0_1 @ a94))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl733])).
% 20.71/3.57 thf(clause75, conjecture, (~( ( c2_1 @ a109 ) | ( ~( hskp11 ) ) ))).
% 20.71/3.57 thf(zf_stmt_113, negated_conjecture, (( c2_1 @ a109 ) | ( ~( hskp11 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause75])).
% 20.71/3.57 thf(zip_derived_cl74, plain, (( (c2_1 @ a109) | ~ (hskp11))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_113])).
% 20.71/3.57 thf('174', plain, (( (c2_1 @ a109)) | ~ ( (hskp11))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl74])).
% 20.71/3.57 thf('175', plain, (~ ( (c0_1 @ a109)) | ~ ( (hskp11))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl110])).
% 20.71/3.57 thf(clause112, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c3_1 @ a109 ) ) ))).
% 20.71/3.57 thf(zf_stmt_114, negated_conjecture,
% 20.71/3.57 (( ~( hskp11 ) ) | ( ~( c3_1 @ a109 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause112])).
% 20.71/3.57 thf(zip_derived_cl111, plain, ((~ (hskp11) | ~ (c3_1 @ a109))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_114])).
% 20.71/3.57 thf('176', plain, (~ ( (c3_1 @ a109)) | ~ ( (hskp11))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl111])).
% 20.71/3.57 thf(zip_derived_cl555, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl157])).
% 20.71/3.57 thf(zip_derived_cl412, plain, ((~ (c0_1 @ a109)) <= (~ ( (c0_1 @ a109)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl110])).
% 20.71/3.57 thf(zip_derived_cl1785, plain,
% 20.71/3.57 (((~ (c2_1 @ a109) | (c3_1 @ a109)))
% 20.71/3.57 <= (~ ( (c0_1 @ a109)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl555, zip_derived_cl412])).
% 20.71/3.57 thf('177', plain,
% 20.71/3.57 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ( (c0_1 @ a109)) | ( (c3_1 @ a109)) | ~ ( (c2_1 @ a109))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1785])).
% 20.71/3.57 thf(zip_derived_cl593, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl490, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl141])).
% 20.71/3.57 thf(zip_derived_cl1320, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl593, zip_derived_cl490])).
% 20.71/3.57 thf(zip_derived_cl1326, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1320])).
% 20.71/3.57 thf(zip_derived_cl276, plain, (( (c1_1 @ a165)) <= (( (c1_1 @ a165)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl42])).
% 20.71/3.57 thf(zip_derived_cl2355, plain,
% 20.71/3.57 (((~ (c3_1 @ a165) | ~ (c2_1 @ a165)))
% 20.71/3.57 <= (( (c1_1 @ a165)) &
% 20.71/3.57 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1326, zip_derived_cl276])).
% 20.71/3.57 thf('178', plain,
% 20.71/3.57 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c2_1 @ a165)) | ~ ( (c1_1 @ a165)) | ~ ( (c3_1 @ a165))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl2355])).
% 20.71/3.57 thf(zip_derived_cl593, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl570, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl161])).
% 20.71/3.57 thf(zip_derived_cl1399, plain,
% 20.71/3.57 ((![X0 : $i]:
% 20.71/3.57 (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c3_1 @ X0) | ~ (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl593, zip_derived_cl570])).
% 20.71/3.57 thf(zip_derived_cl1403, plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c3_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('simplify', [status(thm)], [zip_derived_cl1399])).
% 20.71/3.57 thf(zip_derived_cl342, plain, (( (c1_1 @ a106)) <= (( (c1_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl75])).
% 20.71/3.57 thf(zip_derived_cl2112, plain,
% 20.71/3.57 ((~ (c3_1 @ a106))
% 20.71/3.57 <= (( (c1_1 @ a106)) &
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1403, zip_derived_cl342])).
% 20.71/3.57 thf(zip_derived_cl344, plain, (( (c3_1 @ a106)) <= (( (c3_1 @ a106)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl76])).
% 20.71/3.57 thf('179', plain,
% 20.71/3.57 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c3_1 @ a106)) | ~ ( (c1_1 @ a106))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl2112, zip_derived_cl344])).
% 20.71/3.57 thf(clause177, conjecture,
% 20.71/3.57 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( c2_1 @ W ) ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_115, negated_conjecture,
% 20.71/3.57 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 20.71/3.57 ( ~( c2_1 @ W ) ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 20.71/3.57 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause177])).
% 20.71/3.57 thf(zip_derived_cl176, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c3_1 @ X0)
% 20.71/3.57 | (c0_1 @ X0)
% 20.71/3.57 | (c0_1 @ X1)
% 20.71/3.57 | (c0_1 @ X2)
% 20.71/3.57 | ~ (c2_1 @ X0)
% 20.71/3.57 | ~ (c2_1 @ X1)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_115])).
% 20.71/3.57 thf('180', plain,
% 20.71/3.57 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl176])).
% 20.71/3.57 thf(clause178, conjecture,
% 20.71/3.57 (~( ( c2_1 @ W ) | ( c1_1 @ W ) | ( c2_1 @ V ) | ( ~( c3_1 @ W ) ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 20.71/3.57 thf(zf_stmt_116, negated_conjecture,
% 20.71/3.57 (( c2_1 @ W ) | ( c1_1 @ W ) | ( c2_1 @ V ) | ( ~( c3_1 @ W ) ) |
% 20.71/3.57 ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 20.71/3.57 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause178])).
% 20.71/3.57 thf(zip_derived_cl177, plain,
% 20.71/3.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.71/3.57 ( (c2_1 @ X0)
% 20.71/3.57 | (c1_1 @ X0)
% 20.71/3.57 | (c2_1 @ X1)
% 20.71/3.57 | ~ (c3_1 @ X0)
% 20.71/3.57 | ~ (c1_1 @ X1)
% 20.71/3.57 | ~ (c0_1 @ X1)
% 20.71/3.57 | ~ (ndr1_0)
% 20.71/3.57 | ~ (c3_1 @ X2)
% 20.71/3.57 | ~ (c1_1 @ X2)
% 20.71/3.57 | ~ (c0_1 @ X2))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_116])).
% 20.71/3.57 thf('181', plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (ndr1_0)) |
% 20.71/3.57 (![X1 : $i]: ( (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl177])).
% 20.71/3.57 thf(zip_derived_cl330, plain, (( (c0_1 @ a115)) <= (( (c0_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(zip_derived_cl593, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl167])).
% 20.71/3.57 thf(zip_derived_cl814, plain,
% 20.71/3.57 (((~ (c1_1 @ a115) | ~ (c3_1 @ a115)))
% 20.71/3.57 <= (( (c0_1 @ a115)) &
% 20.71/3.57 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl593])).
% 20.71/3.57 thf(zip_derived_cl1134, plain, ((~ (c1_1 @ a115)) <= (~ ( (c1_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl814])).
% 20.71/3.57 thf(zip_derived_cl456, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl132])).
% 20.71/3.57 thf(zip_derived_cl1136, plain,
% 20.71/3.57 ((( (c3_1 @ a115) | (c2_1 @ a115)))
% 20.71/3.57 <= (~ ( (c1_1 @ a115)) &
% 20.71/3.57 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)],
% 20.71/3.57 [zip_derived_cl1134, zip_derived_cl456])).
% 20.71/3.57 thf('182', plain,
% 20.71/3.57 (( (c1_1 @ a115)) | ( (c3_1 @ a115)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c1_1 @ X0))) |
% 20.71/3.57 ( (c2_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1136])).
% 20.71/3.57 thf('183', plain, (( (c0_1 @ a115)) | ~ ( (hskp14))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(clause107, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c2_1 @ a115 ) ) ))).
% 20.71/3.57 thf(zf_stmt_117, negated_conjecture,
% 20.71/3.57 (( ~( hskp14 ) ) | ( ~( c2_1 @ a115 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause107])).
% 20.71/3.57 thf(zip_derived_cl106, plain, ((~ (hskp14) | ~ (c2_1 @ a115))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_117])).
% 20.71/3.57 thf('184', plain, (~ ( (hskp14)) | ~ ( (c2_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl106])).
% 20.71/3.57 thf(clause108, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c3_1 @ a115 ) ) ))).
% 20.71/3.57 thf(zf_stmt_118, negated_conjecture,
% 20.71/3.57 (( ~( hskp14 ) ) | ( ~( c3_1 @ a115 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause108])).
% 20.71/3.57 thf(zip_derived_cl107, plain, ((~ (hskp14) | ~ (c3_1 @ a115))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_118])).
% 20.71/3.57 thf('185', plain, (~ ( (hskp14)) | ~ ( (c3_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl107])).
% 20.71/3.57 thf(zip_derived_cl518, plain,
% 20.71/3.57 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 20.71/3.57 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl148])).
% 20.71/3.57 thf(zip_derived_cl330, plain, (( (c0_1 @ a115)) <= (( (c0_1 @ a115)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl69])).
% 20.71/3.57 thf(zip_derived_cl948, plain,
% 20.71/3.57 (((~ (c1_1 @ a115) | (c2_1 @ a115)))
% 20.71/3.57 <= (( (c0_1 @ a115)) &
% 20.71/3.57 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 20.71/3.57 inference('s_sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl330])).
% 20.71/3.57 thf('186', plain,
% 20.71/3.57 (( (c2_1 @ a115)) | ~ ( (c1_1 @ a115)) |
% 20.71/3.57 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 20.71/3.57 ~ ( (c0_1 @ a115))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl948])).
% 20.71/3.57 thf(clause38, conjecture, (~( ( hskp11 ) | ( hskp12 ) | ( hskp14 ) ))).
% 20.71/3.57 thf(zf_stmt_119, negated_conjecture, (( hskp11 ) | ( hskp12 ) | ( hskp14 )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause38])).
% 20.71/3.57 thf(zip_derived_cl37, plain, (( (hskp11) | (hskp12) | (hskp14))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_119])).
% 20.71/3.57 thf('187', plain, (( (hskp12)) | ( (hskp14)) | ( (hskp11))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl37])).
% 20.71/3.57 thf(clause74, conjecture, (~( ( c3_1 @ a110 ) | ( ~( hskp12 ) ) ))).
% 20.71/3.57 thf(zf_stmt_120, negated_conjecture, (( c3_1 @ a110 ) | ( ~( hskp12 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause74])).
% 20.71/3.57 thf(zip_derived_cl73, plain, (( (c3_1 @ a110) | ~ (hskp12))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_120])).
% 20.71/3.57 thf('188', plain, (( (c3_1 @ a110)) | ~ ( (hskp12))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl73])).
% 20.71/3.57 thf(clause73, conjecture, (~( ( c2_1 @ a110 ) | ( ~( hskp12 ) ) ))).
% 20.71/3.57 thf(zf_stmt_121, negated_conjecture, (( c2_1 @ a110 ) | ( ~( hskp12 ) )),
% 20.71/3.57 inference('cnf.neg', [status(esa)], [clause73])).
% 20.71/3.57 thf(zip_derived_cl72, plain, (( (c2_1 @ a110) | ~ (hskp12))),
% 20.71/3.57 inference('cnf', [status(esa)], [zf_stmt_121])).
% 20.71/3.57 thf('189', plain, (( (c2_1 @ a110)) | ~ ( (hskp12))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl72])).
% 20.71/3.57 thf('190', plain, (~ ( (hskp12)) | ~ ( (c0_1 @ a110))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl109])).
% 20.71/3.57 thf(zip_derived_cl565, plain,
% 20.71/3.57 ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1)))
% 20.71/3.57 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl160])).
% 20.71/3.57 thf(zip_derived_cl410, plain, ((~ (c0_1 @ a110)) <= (~ ( (c0_1 @ a110)))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl109])).
% 20.71/3.57 thf(zip_derived_cl1359, plain,
% 20.71/3.57 (((~ (c3_1 @ a110) | ~ (c2_1 @ a110)))
% 20.71/3.57 <= (~ ( (c0_1 @ a110)) &
% 20.71/3.57 (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))))),
% 20.71/3.57 inference('s_sup-', [status(thm)], [zip_derived_cl565, zip_derived_cl410])).
% 20.71/3.57 thf('191', plain,
% 20.71/3.57 (( (c0_1 @ a110)) | ~ ( (c2_1 @ a110)) |
% 20.71/3.57 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c0_1 @ X1) | ~ (c3_1 @ X1))) |
% 20.71/3.57 ~ ( (c3_1 @ a110))),
% 20.71/3.57 inference('split', [status(esa)], [zip_derived_cl1359])).
% 20.71/3.57 thf(zip_derived_cl27862, plain, ($false),
% 20.71/3.57 inference('sat_resolution*', [status(thm)],
% 20.71/3.57 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 20.71/3.57 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 20.71/3.57 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 20.71/3.57 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 20.71/3.57 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 20.71/3.57 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 20.71/3.57 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 20.71/3.57 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 20.71/3.57 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 20.71/3.57 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 20.71/3.57 '102', '103', '104', '105', '106', '107', '108', '109',
% 20.71/3.57 '110', '111', '112', '113', '114', '115', '116', '117',
% 20.71/3.57 '118', '119', '120', '121', '122', '123', '124', '125',
% 20.71/3.57 '126', '127', '128', '129', '130', '131', '132', '133',
% 20.71/3.57 '134', '135', '136', '137', '138', '139', '140', '141',
% 20.71/3.57 '142', '143', '144', '145', '146', '147', '148', '149',
% 20.71/3.57 '150', '151', '152', '153', '154', '155', '156', '157',
% 20.71/3.57 '158', '159', '160', '161', '162', '163', '164', '165',
% 20.71/3.57 '166', '167', '168', '169', '170', '171', '172', '173',
% 20.71/3.57 '174', '175', '176', '177', '178', '179', '180', '181',
% 20.71/3.57 '182', '183', '184', '185', '186', '187', '188', '189',
% 20.71/3.57 '190', '191'])).
% 20.71/3.57
% 20.71/3.57 % SZS output end Refutation
% 20.71/3.57
% 20.71/3.57
% 20.71/3.58 % Terminating...
% 20.71/3.58 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 21.19/3.70 % Runner terminated.
% 21.19/3.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------