TSTP Solution File: SYN498-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN498-1 : 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.MmATK7RlGZ true
% Computer : n026.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 04:04:09 EDT 2023
% Result : Unsatisfiable 1.36s 1.41s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN498-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MmATK7RlGZ true
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 20:19:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/1.41 % Solved by fo/fo1_av.sh.
% 1.36/1.41 % done 1835 iterations in 0.610s
% 1.36/1.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/1.41 % SZS output start Refutation
% 1.36/1.41 thf(hskp25_type, type, hskp25: $o).
% 1.36/1.41 thf(hskp20_type, type, hskp20: $o).
% 1.36/1.41 thf(hskp17_type, type, hskp17: $o).
% 1.36/1.41 thf(hskp4_type, type, hskp4: $o).
% 1.36/1.41 thf(a2_type, type, a2: $i).
% 1.36/1.41 thf(hskp1_type, type, hskp1: $o).
% 1.36/1.41 thf(a21_type, type, a21: $i).
% 1.36/1.41 thf(a1_type, type, a1: $i).
% 1.36/1.41 thf(a25_type, type, a25: $i).
% 1.36/1.41 thf(a18_type, type, a18: $i).
% 1.36/1.41 thf(hskp26_type, type, hskp26: $o).
% 1.36/1.41 thf(hskp11_type, type, hskp11: $o).
% 1.36/1.41 thf(hskp8_type, type, hskp8: $o).
% 1.36/1.41 thf(c1_1_type, type, c1_1: $i > $o).
% 1.36/1.41 thf(hskp24_type, type, hskp24: $o).
% 1.36/1.41 thf(a24_type, type, a24: $i).
% 1.36/1.41 thf(a36_type, type, a36: $i).
% 1.36/1.41 thf(hskp15_type, type, hskp15: $o).
% 1.36/1.41 thf(a42_type, type, a42: $i).
% 1.36/1.41 thf(a27_type, type, a27: $i).
% 1.36/1.41 thf(a15_type, type, a15: $i).
% 1.36/1.41 thf(hskp27_type, type, hskp27: $o).
% 1.36/1.41 thf(a20_type, type, a20: $i).
% 1.36/1.41 thf(hskp21_type, type, hskp21: $o).
% 1.36/1.41 thf(hskp3_type, type, hskp3: $o).
% 1.36/1.41 thf(hskp22_type, type, hskp22: $o).
% 1.36/1.41 thf(a28_type, type, a28: $i).
% 1.36/1.41 thf(hskp28_type, type, hskp28: $o).
% 1.36/1.41 thf(a13_type, type, a13: $i).
% 1.36/1.41 thf(hskp6_type, type, hskp6: $o).
% 1.36/1.41 thf(c0_1_type, type, c0_1: $i > $o).
% 1.36/1.41 thf(a12_type, type, a12: $i).
% 1.36/1.41 thf(hskp5_type, type, hskp5: $o).
% 1.36/1.41 thf(a58_type, type, a58: $i).
% 1.36/1.41 thf(a31_type, type, a31: $i).
% 1.36/1.41 thf(a11_type, type, a11: $i).
% 1.36/1.41 thf(a99_type, type, a99: $i).
% 1.36/1.41 thf(a70_type, type, a70: $i).
% 1.36/1.41 thf(a37_type, type, a37: $i).
% 1.36/1.41 thf(hskp29_type, type, hskp29: $o).
% 1.36/1.41 thf(hskp9_type, type, hskp9: $o).
% 1.36/1.41 thf(ndr1_0_type, type, ndr1_0: $o).
% 1.36/1.41 thf(a16_type, type, a16: $i).
% 1.36/1.41 thf(hskp7_type, type, hskp7: $o).
% 1.36/1.41 thf(hskp10_type, type, hskp10: $o).
% 1.36/1.41 thf(hskp0_type, type, hskp0: $o).
% 1.36/1.41 thf(hskp2_type, type, hskp2: $o).
% 1.36/1.41 thf(hskp13_type, type, hskp13: $o).
% 1.36/1.41 thf(c2_1_type, type, c2_1: $i > $o).
% 1.36/1.41 thf(a35_type, type, a35: $i).
% 1.36/1.41 thf(a14_type, type, a14: $i).
% 1.36/1.41 thf(a19_type, type, a19: $i).
% 1.36/1.41 thf(a38_type, type, a38: $i).
% 1.36/1.41 thf(hskp18_type, type, hskp18: $o).
% 1.36/1.41 thf(a22_type, type, a22: $i).
% 1.36/1.41 thf(hskp19_type, type, hskp19: $o).
% 1.36/1.41 thf(c3_1_type, type, c3_1: $i > $o).
% 1.36/1.41 thf(a7_type, type, a7: $i).
% 1.36/1.41 thf(hskp14_type, type, hskp14: $o).
% 1.36/1.41 thf(hskp12_type, type, hskp12: $o).
% 1.36/1.41 thf(a3_type, type, a3: $i).
% 1.36/1.41 thf(hskp16_type, type, hskp16: $o).
% 1.36/1.41 thf(clause144, conjecture,
% 1.36/1.41 (~( ( hskp20 ) | ( hskp22 ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_0, negated_conjecture,
% 1.36/1.41 (( hskp20 ) | ( hskp22 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause144])).
% 1.36/1.41 thf(zip_derived_cl143, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp20)
% 1.36/1.41 | (hskp22)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/1.41 thf(zip_derived_cl520, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl143])).
% 1.36/1.41 thf(clause123, conjecture, (~( ( ~( hskp5 ) ) | ( ~( c1_1 @ a11 ) ) ))).
% 1.36/1.41 thf(zf_stmt_1, negated_conjecture, (( ~( hskp5 ) ) | ( ~( c1_1 @ a11 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause123])).
% 1.36/1.41 thf(zip_derived_cl122, plain, ((~ (hskp5) | ~ (c1_1 @ a11))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/1.41 thf(zip_derived_cl456, plain, ((~ (c1_1 @ a11)) <= (~ ( (c1_1 @ a11)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl122])).
% 1.36/1.41 thf(zip_derived_cl1779, plain,
% 1.36/1.41 ((( (c2_1 @ a11) | ~ (c3_1 @ a11)))
% 1.36/1.41 <= (~ ( (c1_1 @ a11)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl520, zip_derived_cl456])).
% 1.36/1.41 thf('0', plain,
% 1.36/1.41 (~ ( (c3_1 @ a11)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a11)) | ( (c2_1 @ a11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1779])).
% 1.36/1.41 thf(clause151, conjecture,
% 1.36/1.41 (~( ( hskp17 ) | ( hskp21 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_2, negated_conjecture,
% 1.36/1.41 (( hskp17 ) | ( hskp21 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause151])).
% 1.36/1.41 thf(zip_derived_cl150, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp17)
% 1.36/1.41 | (hskp21)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c2_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.36/1.41 thf(zip_derived_cl548, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(clause96, conjecture, (~( ( ~( hskp20 ) ) | ( ~( c0_1 @ a37 ) ) ))).
% 1.36/1.41 thf(zf_stmt_3, negated_conjecture, (( ~( hskp20 ) ) | ( ~( c0_1 @ a37 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause96])).
% 1.36/1.41 thf(zip_derived_cl95, plain, ((~ (hskp20) | ~ (c0_1 @ a37))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.36/1.41 thf(zip_derived_cl402, plain, ((~ (c0_1 @ a37)) <= (~ ( (c0_1 @ a37)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.36/1.41 thf(zip_derived_cl1524, plain,
% 1.36/1.41 (((~ (c2_1 @ a37) | ~ (c3_1 @ a37)))
% 1.36/1.41 <= (~ ( (c0_1 @ a37)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl402])).
% 1.36/1.41 thf('1', plain,
% 1.36/1.41 (~ ( (c2_1 @ a37)) | ~ ( (c3_1 @ a37)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a37))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1524])).
% 1.36/1.41 thf(clause163, conjecture,
% 1.36/1.41 (~( ( hskp10 ) | ( hskp21 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_4, negated_conjecture,
% 1.36/1.41 (( hskp10 ) | ( hskp21 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause163])).
% 1.36/1.41 thf(zip_derived_cl162, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp10)
% 1.36/1.41 | (hskp21)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.36/1.41 thf(zip_derived_cl596, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl162])).
% 1.36/1.41 thf(clause60, conjecture, (~( ( c1_1 @ a38 ) | ( ~( hskp21 ) ) ))).
% 1.36/1.41 thf(zf_stmt_5, negated_conjecture, (( c1_1 @ a38 ) | ( ~( hskp21 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause60])).
% 1.36/1.41 thf(zip_derived_cl59, plain, (( (c1_1 @ a38) | ~ (hskp21))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.36/1.41 thf(zip_derived_cl330, plain, (( (c1_1 @ a38)) <= (( (c1_1 @ a38)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.36/1.41 thf(zip_derived_cl1140, plain,
% 1.36/1.41 (((~ (c0_1 @ a38) | (c3_1 @ a38)))
% 1.36/1.41 <= (( (c1_1 @ a38)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl330])).
% 1.36/1.41 thf('2', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a38)) | ~ ( (c1_1 @ a38)) | ( (c3_1 @ a38))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1140])).
% 1.36/1.41 thf(zip_derived_cl330, plain, (( (c1_1 @ a38)) <= (( (c1_1 @ a38)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.36/1.41 thf(clause165, conjecture,
% 1.36/1.41 (~( ( hskp16 ) | ( hskp27 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_6, negated_conjecture,
% 1.36/1.41 (( hskp16 ) | ( hskp27 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause165])).
% 1.36/1.41 thf(zip_derived_cl164, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp16)
% 1.36/1.41 | (hskp27)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.36/1.41 thf(zip_derived_cl604, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.36/1.41 thf(zip_derived_cl884, plain,
% 1.36/1.41 (((~ (c3_1 @ a38) | ~ (c0_1 @ a38)))
% 1.36/1.41 <= (( (c1_1 @ a38)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl604])).
% 1.36/1.41 thf('3', plain,
% 1.36/1.41 (~ ( (c3_1 @ a38)) | ~ ( (c0_1 @ a38)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a38))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl884])).
% 1.36/1.41 thf(clause182, conjecture,
% 1.36/1.41 (~( ( hskp4 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_7, negated_conjecture,
% 1.36/1.41 (( hskp4 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause182])).
% 1.36/1.41 thf(zip_derived_cl181, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp4)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.36/1.41 thf(zip_derived_cl673, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl181])).
% 1.36/1.41 thf(clause97, conjecture, (~( ( ~( hskp19 ) ) | ( ~( c1_1 @ a36 ) ) ))).
% 1.36/1.41 thf(zf_stmt_8, negated_conjecture, (( ~( hskp19 ) ) | ( ~( c1_1 @ a36 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause97])).
% 1.36/1.41 thf(zip_derived_cl96, plain, ((~ (hskp19) | ~ (c1_1 @ a36))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.36/1.41 thf(zip_derived_cl404, plain, ((~ (c1_1 @ a36)) <= (~ ( (c1_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf(zip_derived_cl2204, plain,
% 1.36/1.41 ((( (c0_1 @ a36) | ~ (c3_1 @ a36)))
% 1.36/1.41 <= (~ ( (c1_1 @ a36)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl673, zip_derived_cl404])).
% 1.36/1.41 thf('4', plain,
% 1.36/1.41 (( (c0_1 @ a36)) | ( (c1_1 @ a36)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a36))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2204])).
% 1.36/1.41 thf(clause152, conjecture,
% 1.36/1.41 (~( ( hskp15 ) | ( hskp9 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_9, negated_conjecture,
% 1.36/1.41 (( hskp15 ) | ( hskp9 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause152])).
% 1.36/1.41 thf(zip_derived_cl151, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp15)
% 1.36/1.41 | (hskp9)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.36/1.41 thf(zip_derived_cl552, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl151])).
% 1.36/1.41 thf(zip_derived_cl404, plain, ((~ (c1_1 @ a36)) <= (~ ( (c1_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf(zip_derived_cl1567, plain,
% 1.36/1.41 (((~ (c2_1 @ a36) | ~ (c0_1 @ a36)))
% 1.36/1.41 <= (~ ( (c1_1 @ a36)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl404])).
% 1.36/1.41 thf(zip_derived_cl2061, plain, ((~ (c0_1 @ a36)) <= (~ ( (c0_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1567])).
% 1.36/1.41 thf(zip_derived_cl548, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(zip_derived_cl2066, plain,
% 1.36/1.41 (((~ (c3_1 @ a36) | ~ (c2_1 @ a36)))
% 1.36/1.41 <= (~ ( (c0_1 @ a36)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)],
% 1.36/1.41 [zip_derived_cl2061, zip_derived_cl548])).
% 1.36/1.41 thf('5', plain,
% 1.36/1.41 (( (c0_1 @ a36)) | ~ ( (c3_1 @ a36)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a36))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2066])).
% 1.36/1.41 thf('6', plain,
% 1.36/1.41 (~ ( (c0_1 @ a36)) | ( (c1_1 @ a36)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a36))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1567])).
% 1.36/1.41 thf(clause196, conjecture,
% 1.36/1.41 (~( ( c1_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 1.36/1.41 ( c2_1 @ U ) | ( c1_1 @ U ) | ( ~( c3_1 @ W ) ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_10, negated_conjecture,
% 1.36/1.41 (( c1_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 1.36/1.41 ( c2_1 @ U ) | ( c1_1 @ U ) | ( ~( c3_1 @ W ) ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause196])).
% 1.36/1.41 thf(zip_derived_cl195, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c0_1 @ X1)
% 1.36/1.41 | (c2_1 @ X2)
% 1.36/1.41 | (c1_1 @ X2)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c0_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.36/1.41 thf(zip_derived_cl728, plain,
% 1.36/1.41 ((![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2)))
% 1.36/1.41 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl195])).
% 1.36/1.41 thf(clause115, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c1_1 @ a15 ) ) ))).
% 1.36/1.41 thf(zf_stmt_11, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c1_1 @ a15 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause115])).
% 1.36/1.41 thf(zip_derived_cl114, plain, ((~ (hskp8) | ~ (c1_1 @ a15))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.36/1.41 thf(zip_derived_cl440, plain, ((~ (c1_1 @ a15)) <= (~ ( (c1_1 @ a15)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl114])).
% 1.36/1.41 thf(zip_derived_cl2262, plain,
% 1.36/1.41 (((~ (c0_1 @ a15) | (c2_1 @ a15)))
% 1.36/1.41 <= (~ ( (c1_1 @ a15)) &
% 1.36/1.41 (![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl728, zip_derived_cl440])).
% 1.36/1.41 thf('7', plain,
% 1.36/1.41 (~ (![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2))) |
% 1.36/1.41 ~ ( (c0_1 @ a15)) | ( (c1_1 @ a15)) | ( (c2_1 @ a15))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2262])).
% 1.36/1.41 thf('8', plain, (~ ( (c1_1 @ a15)) | ~ ( (hskp8))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl114])).
% 1.36/1.41 thf(clause116, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c2_1 @ a15 ) ) ))).
% 1.36/1.41 thf(zf_stmt_12, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c2_1 @ a15 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause116])).
% 1.36/1.41 thf(zip_derived_cl115, plain, ((~ (hskp8) | ~ (c2_1 @ a15))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.36/1.41 thf('9', plain, (~ ( (c2_1 @ a15)) | ~ ( (hskp8))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl115])).
% 1.36/1.41 thf(clause117, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c3_1 @ a15 ) ) ))).
% 1.36/1.41 thf(zf_stmt_13, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c3_1 @ a15 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause117])).
% 1.36/1.41 thf(zip_derived_cl116, plain, ((~ (hskp8) | ~ (c3_1 @ a15))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.36/1.41 thf('10', plain, (~ ( (c3_1 @ a15)) | ~ ( (hskp8))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl116])).
% 1.36/1.41 thf(clause33, conjecture, (~( ( hskp8 ) | ( hskp13 ) | ( hskp27 ) ))).
% 1.36/1.41 thf(zf_stmt_14, negated_conjecture, (( hskp8 ) | ( hskp13 ) | ( hskp27 )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause33])).
% 1.36/1.41 thf(zip_derived_cl32, plain, (( (hskp8) | (hskp13) | (hskp27))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.36/1.41 thf('11', plain, (( (hskp8)) | ( (hskp13)) | ( (hskp27))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl32])).
% 1.36/1.41 thf(clause50, conjecture, (~( ( c1_1 @ a12 ) | ( ~( hskp27 ) ) ))).
% 1.36/1.41 thf(zf_stmt_15, negated_conjecture, (( c1_1 @ a12 ) | ( ~( hskp27 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause50])).
% 1.36/1.41 thf(zip_derived_cl49, plain, (( (c1_1 @ a12) | ~ (hskp27))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.36/1.41 thf(zip_derived_cl310, plain, (( (c1_1 @ a12)) <= (( (c1_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.36/1.41 thf(zip_derived_cl604, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.36/1.41 thf(zip_derived_cl842, plain,
% 1.36/1.41 (((~ (c3_1 @ a12) | ~ (c0_1 @ a12)))
% 1.36/1.41 <= (( (c1_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl604])).
% 1.36/1.41 thf('12', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a12)) | ~ ( (c3_1 @ a12)) | ~ ( (c1_1 @ a12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl842])).
% 1.36/1.41 thf(clause162, conjecture,
% 1.36/1.41 (~( ( hskp0 ) | ( hskp28 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_16, negated_conjecture,
% 1.36/1.41 (( hskp0 ) | ( hskp28 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause162])).
% 1.36/1.41 thf(zip_derived_cl161, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp0)
% 1.36/1.41 | (hskp28)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.36/1.41 thf(zip_derived_cl592, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl161])).
% 1.36/1.41 thf(clause78, conjecture, (~( ( c1_1 @ a14 ) | ( ~( hskp7 ) ) ))).
% 1.36/1.41 thf(zf_stmt_17, negated_conjecture, (( c1_1 @ a14 ) | ( ~( hskp7 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause78])).
% 1.36/1.41 thf(zip_derived_cl77, plain, (( (c1_1 @ a14) | ~ (hskp7))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.36/1.41 thf(zip_derived_cl366, plain, (( (c1_1 @ a14)) <= (( (c1_1 @ a14)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl77])).
% 1.36/1.41 thf(zip_derived_cl1120, plain,
% 1.36/1.41 ((( (c2_1 @ a14) | ~ (c3_1 @ a14)))
% 1.36/1.41 <= (( (c1_1 @ a14)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl366])).
% 1.36/1.41 thf('13', plain,
% 1.36/1.41 (~ ( (c3_1 @ a14)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a14)) | ~ ( (c1_1 @ a14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1120])).
% 1.36/1.41 thf(zip_derived_cl673, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl181])).
% 1.36/1.41 thf(clause91, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c1_1 @ a58 ) ) ))).
% 1.36/1.41 thf(zf_stmt_18, negated_conjecture, (( ~( hskp24 ) ) | ( ~( c1_1 @ a58 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause91])).
% 1.36/1.41 thf(zip_derived_cl90, plain, ((~ (hskp24) | ~ (c1_1 @ a58))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.36/1.41 thf(zip_derived_cl392, plain, ((~ (c1_1 @ a58)) <= (~ ( (c1_1 @ a58)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl90])).
% 1.36/1.41 thf(zip_derived_cl2201, plain,
% 1.36/1.41 ((( (c0_1 @ a58) | ~ (c3_1 @ a58)))
% 1.36/1.41 <= (~ ( (c1_1 @ a58)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl673, zip_derived_cl392])).
% 1.36/1.41 thf('14', plain,
% 1.36/1.41 (~ ( (c3_1 @ a58)) | ( (c0_1 @ a58)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a58))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2201])).
% 1.36/1.41 thf(clause133, conjecture,
% 1.36/1.41 (~( ( hskp1 ) | ( hskp0 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_19, negated_conjecture,
% 1.36/1.41 (( hskp1 ) | ( hskp0 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause133])).
% 1.36/1.41 thf(zip_derived_cl132, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp1)
% 1.36/1.41 | (hskp0)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.36/1.41 thf(zip_derived_cl476, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl132])).
% 1.36/1.41 thf(zip_derived_cl440, plain, ((~ (c1_1 @ a15)) <= (~ ( (c1_1 @ a15)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl114])).
% 1.36/1.41 thf(zip_derived_cl1018, plain,
% 1.36/1.41 ((( (c0_1 @ a15) | (c3_1 @ a15)))
% 1.36/1.41 <= (~ ( (c1_1 @ a15)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl440])).
% 1.36/1.41 thf('15', plain,
% 1.36/1.41 (( (c0_1 @ a15)) | ( (c1_1 @ a15)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c3_1 @ a15))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1018])).
% 1.36/1.41 thf('16', plain,
% 1.36/1.41 (( (hskp21)) | ( (hskp17)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(clause142, conjecture,
% 1.36/1.41 (~( ( hskp18 ) | ( hskp3 ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_20, negated_conjecture,
% 1.36/1.41 (( hskp18 ) | ( hskp3 ) | ( c3_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause142])).
% 1.36/1.41 thf(zip_derived_cl141, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp18)
% 1.36/1.41 | (hskp3)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.36/1.41 thf(zip_derived_cl512, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl141])).
% 1.36/1.41 thf(clause90, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c0_1 @ a58 ) ) ))).
% 1.36/1.41 thf(zf_stmt_21, negated_conjecture, (( ~( hskp24 ) ) | ( ~( c0_1 @ a58 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause90])).
% 1.36/1.41 thf(zip_derived_cl89, plain, ((~ (hskp24) | ~ (c0_1 @ a58))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.36/1.41 thf(zip_derived_cl390, plain, ((~ (c0_1 @ a58)) <= (~ ( (c0_1 @ a58)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.36/1.41 thf(zip_derived_cl1657, plain,
% 1.36/1.41 (((~ (c2_1 @ a58) | (c3_1 @ a58)))
% 1.36/1.41 <= (~ ( (c0_1 @ a58)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl390])).
% 1.36/1.41 thf('17', plain,
% 1.36/1.41 (( (c3_1 @ a58)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a58)) | ~ ( (c2_1 @ a58))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1657])).
% 1.36/1.41 thf(clause204, conjecture,
% 1.36/1.41 (~( ( c0_1 @ W ) | ( ~( c3_1 @ W ) ) | ( ~( c2_1 @ W ) ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_22, negated_conjecture,
% 1.36/1.41 (( c0_1 @ W ) | ( ~( c3_1 @ W ) ) | ( ~( c2_1 @ W ) ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause204])).
% 1.36/1.41 thf(zip_derived_cl203, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c0_1 @ X0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X2)
% 1.36/1.41 | ~ (c2_1 @ X2)
% 1.36/1.41 | ~ (c1_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.36/1.41 thf('18', plain,
% 1.36/1.41 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl203])).
% 1.36/1.41 thf(zip_derived_cl761, plain,
% 1.36/1.41 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl203])).
% 1.36/1.41 thf(clause43, conjecture, (~( ( c0_1 @ a35 ) | ( ~( hskp29 ) ) ))).
% 1.36/1.41 thf(zf_stmt_23, negated_conjecture, (( c0_1 @ a35 ) | ( ~( hskp29 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause43])).
% 1.36/1.41 thf(zip_derived_cl42, plain, (( (c0_1 @ a35) | ~ (hskp29))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.36/1.41 thf(zip_derived_cl296, plain, (( (c0_1 @ a35)) <= (( (c0_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.36/1.41 thf(zip_derived_cl894, plain,
% 1.36/1.41 (((~ (c2_1 @ a35) | ~ (c3_1 @ a35)))
% 1.36/1.41 <= (( (c0_1 @ a35)) &
% 1.36/1.41 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl761, zip_derived_cl296])).
% 1.36/1.41 thf('19', plain,
% 1.36/1.41 (~ ( (c3_1 @ a35)) | ~ ( (c0_1 @ a35)) |
% 1.36/1.41 ~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl894])).
% 1.36/1.41 thf(zip_derived_cl548, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(zip_derived_cl390, plain, ((~ (c0_1 @ a58)) <= (~ ( (c0_1 @ a58)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.36/1.41 thf(zip_derived_cl1522, plain,
% 1.36/1.41 (((~ (c2_1 @ a58) | ~ (c3_1 @ a58)))
% 1.36/1.41 <= (~ ( (c0_1 @ a58)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl390])).
% 1.36/1.41 thf('20', plain,
% 1.36/1.41 (~ ( (c3_1 @ a58)) | ~ ( (c2_1 @ a58)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a58))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1522])).
% 1.36/1.41 thf(clause138, conjecture,
% 1.36/1.41 (~( ( hskp14 ) | ( hskp13 ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_24, negated_conjecture,
% 1.36/1.41 (( hskp14 ) | ( hskp13 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause138])).
% 1.36/1.41 thf(zip_derived_cl137, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp14)
% 1.36/1.41 | (hskp13)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.36/1.41 thf(zip_derived_cl496, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.36/1.41 thf(clause103, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c0_1 @ a24 ) ) ))).
% 1.36/1.41 thf(zf_stmt_25, negated_conjecture, (( ~( hskp15 ) ) | ( ~( c0_1 @ a24 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause103])).
% 1.36/1.41 thf(zip_derived_cl102, plain, ((~ (hskp15) | ~ (c0_1 @ a24))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.36/1.41 thf(zip_derived_cl416, plain, ((~ (c0_1 @ a24)) <= (~ ( (c0_1 @ a24)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl102])).
% 1.36/1.41 thf(zip_derived_cl1414, plain,
% 1.36/1.41 ((( (c2_1 @ a24) | ~ (c3_1 @ a24)))
% 1.36/1.41 <= (~ ( (c0_1 @ a24)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl496, zip_derived_cl416])).
% 1.36/1.41 thf('21', plain,
% 1.36/1.41 (~ ( (c3_1 @ a24)) | ( (c0_1 @ a24)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1414])).
% 1.36/1.41 thf(zip_derived_cl673, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl181])).
% 1.36/1.41 thf(clause104, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c1_1 @ a24 ) ) ))).
% 1.36/1.41 thf(zf_stmt_26, negated_conjecture, (( ~( hskp15 ) ) | ( ~( c1_1 @ a24 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause104])).
% 1.36/1.41 thf(zip_derived_cl103, plain, ((~ (hskp15) | ~ (c1_1 @ a24))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.36/1.41 thf(zip_derived_cl418, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl103])).
% 1.36/1.41 thf(zip_derived_cl2209, plain,
% 1.36/1.41 ((( (c0_1 @ a24) | ~ (c3_1 @ a24)))
% 1.36/1.41 <= (~ ( (c1_1 @ a24)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl673, zip_derived_cl418])).
% 1.36/1.41 thf('22', plain,
% 1.36/1.41 (~ ( (c3_1 @ a24)) | ( (c0_1 @ a24)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2209])).
% 1.36/1.41 thf(clause135, conjecture,
% 1.36/1.41 (~( ( hskp8 ) | ( hskp7 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_27, negated_conjecture,
% 1.36/1.41 (( hskp8 ) | ( hskp7 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause135])).
% 1.36/1.41 thf(zip_derived_cl134, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp8)
% 1.36/1.41 | (hskp7)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.36/1.41 thf(zip_derived_cl484, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl134])).
% 1.36/1.41 thf(clause98, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c0_1 @ a31 ) ) ))).
% 1.36/1.41 thf(zf_stmt_28, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c0_1 @ a31 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause98])).
% 1.36/1.41 thf(zip_derived_cl97, plain, ((~ (hskp18) | ~ (c0_1 @ a31))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.36/1.41 thf(zip_derived_cl406, plain, ((~ (c0_1 @ a31)) <= (~ ( (c0_1 @ a31)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl97])).
% 1.36/1.41 thf(zip_derived_cl1184, plain,
% 1.36/1.41 ((( (c2_1 @ a31) | (c3_1 @ a31)))
% 1.36/1.41 <= (~ ( (c0_1 @ a31)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl406])).
% 1.36/1.41 thf('23', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a31)) | ( (c3_1 @ a31)) | ( (c0_1 @ a31))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1184])).
% 1.36/1.41 thf(clause180, conjecture,
% 1.36/1.41 (~( ( hskp6 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_29, negated_conjecture,
% 1.36/1.41 (( hskp6 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause180])).
% 1.36/1.41 thf(zip_derived_cl179, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp6)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.36/1.41 thf(zip_derived_cl664, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(clause65, conjecture, (~( ( c1_1 @ a31 ) | ( ~( hskp18 ) ) ))).
% 1.36/1.41 thf(zf_stmt_30, negated_conjecture, (( c1_1 @ a31 ) | ( ~( hskp18 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause65])).
% 1.36/1.41 thf(zip_derived_cl64, plain, (( (c1_1 @ a31) | ~ (hskp18))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.36/1.41 thf(zip_derived_cl340, plain, (( (c1_1 @ a31)) <= (( (c1_1 @ a31)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl64])).
% 1.36/1.41 thf(zip_derived_cl1285, plain,
% 1.36/1.41 (((~ (c2_1 @ a31) | (c3_1 @ a31)))
% 1.36/1.41 <= (( (c1_1 @ a31)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl340])).
% 1.36/1.41 thf('24', plain,
% 1.36/1.41 (~ ( (c2_1 @ a31)) | ~ ( (c1_1 @ a31)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ( (c3_1 @ a31))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1285])).
% 1.36/1.41 thf('25', plain, (~ ( (c0_1 @ a24)) | ~ ( (hskp15))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl102])).
% 1.36/1.41 thf('26', plain, (( (c1_1 @ a31)) | ~ ( (hskp18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl64])).
% 1.36/1.41 thf('27', plain, (~ ( (c0_1 @ a31)) | ~ ( (hskp18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl97])).
% 1.36/1.41 thf(clause99, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c3_1 @ a31 ) ) ))).
% 1.36/1.41 thf(zf_stmt_31, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c3_1 @ a31 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause99])).
% 1.36/1.41 thf(zip_derived_cl98, plain, ((~ (hskp18) | ~ (c3_1 @ a31))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.36/1.41 thf('28', plain, (~ ( (c3_1 @ a31)) | ~ ( (hskp18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl98])).
% 1.36/1.41 thf(clause189, conjecture,
% 1.36/1.41 (~( ( hskp12 ) | ( c1_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_32, negated_conjecture,
% 1.36/1.41 (( hskp12 ) | ( c1_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause189])).
% 1.36/1.41 thf(zip_derived_cl188, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp12)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.36/1.41 thf('29', plain,
% 1.36/1.41 (( (hskp12)) |
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl188])).
% 1.36/1.41 thf('30', plain,
% 1.36/1.41 (( (hskp15)) | ( (hskp9)) |
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl151])).
% 1.36/1.41 thf(clause181, conjecture,
% 1.36/1.41 (~( ( hskp18 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_33, negated_conjecture,
% 1.36/1.41 (( hskp18 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause181])).
% 1.36/1.41 thf(zip_derived_cl180, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp18)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.36/1.41 thf('31', plain,
% 1.36/1.41 (( (hskp18)) |
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl180])).
% 1.36/1.41 thf(zip_derived_cl552, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl151])).
% 1.36/1.41 thf(clause94, conjecture, (~( ( ~( hskp22 ) ) | ( ~( c1_1 @ a42 ) ) ))).
% 1.36/1.41 thf(zf_stmt_34, negated_conjecture, (( ~( hskp22 ) ) | ( ~( c1_1 @ a42 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause94])).
% 1.36/1.41 thf(zip_derived_cl93, plain, ((~ (hskp22) | ~ (c1_1 @ a42))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.36/1.41 thf(zip_derived_cl398, plain, ((~ (c1_1 @ a42)) <= (~ ( (c1_1 @ a42)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl93])).
% 1.36/1.41 thf(zip_derived_cl1566, plain,
% 1.36/1.41 (((~ (c2_1 @ a42) | ~ (c0_1 @ a42)))
% 1.36/1.41 <= (~ ( (c1_1 @ a42)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl398])).
% 1.36/1.41 thf('32', plain,
% 1.36/1.41 (~ ( (c0_1 @ a42)) | ( (c1_1 @ a42)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a42))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1566])).
% 1.36/1.41 thf(clause57, conjecture, (~( ( c0_1 @ a42 ) | ( ~( hskp22 ) ) ))).
% 1.36/1.41 thf(zf_stmt_35, negated_conjecture, (( c0_1 @ a42 ) | ( ~( hskp22 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause57])).
% 1.36/1.41 thf(zip_derived_cl56, plain, (( (c0_1 @ a42) | ~ (hskp22))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.36/1.41 thf('33', plain, (( (c0_1 @ a42)) | ~ ( (hskp22))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl56])).
% 1.36/1.41 thf(clause58, conjecture, (~( ( c2_1 @ a42 ) | ( ~( hskp22 ) ) ))).
% 1.36/1.41 thf(zf_stmt_36, negated_conjecture, (( c2_1 @ a42 ) | ( ~( hskp22 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause58])).
% 1.36/1.41 thf(zip_derived_cl57, plain, (( (c2_1 @ a42) | ~ (hskp22))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_36])).
% 1.36/1.41 thf('34', plain, (( (c2_1 @ a42)) | ~ ( (hskp22))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.36/1.41 thf('35', plain, (~ ( (c1_1 @ a42)) | ~ ( (hskp22))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl93])).
% 1.36/1.41 thf(clause167, conjecture,
% 1.36/1.41 (~( ( hskp0 ) | ( hskp22 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_37, negated_conjecture,
% 1.36/1.41 (( hskp0 ) | ( hskp22 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause167])).
% 1.36/1.41 thf(zip_derived_cl166, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp0)
% 1.36/1.41 | (hskp22)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_37])).
% 1.36/1.41 thf('36', plain,
% 1.36/1.41 (( (hskp22)) | ( (hskp0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl166])).
% 1.36/1.41 thf(clause37, conjecture, (~( ( hskp28 ) | ( hskp25 ) | ( hskp5 ) ))).
% 1.36/1.41 thf(zf_stmt_38, negated_conjecture, (( hskp28 ) | ( hskp25 ) | ( hskp5 )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause37])).
% 1.36/1.41 thf(zip_derived_cl36, plain, (( (hskp28) | (hskp25) | (hskp5))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_38])).
% 1.36/1.41 thf('37', plain, (( (hskp5)) | ( (hskp28)) | ( (hskp25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl36])).
% 1.36/1.41 thf(clause168, conjecture,
% 1.36/1.41 (~( ( hskp25 ) | ( hskp5 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_39, negated_conjecture,
% 1.36/1.41 (( hskp25 ) | ( hskp5 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause168])).
% 1.36/1.41 thf(zip_derived_cl167, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp25)
% 1.36/1.41 | (hskp5)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_39])).
% 1.36/1.41 thf('38', plain,
% 1.36/1.41 (( (hskp5)) | ( (hskp25)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl167])).
% 1.36/1.41 thf(clause73, conjecture, (~( ( c2_1 @ a20 ) | ( ~( hskp12 ) ) ))).
% 1.36/1.41 thf(zf_stmt_40, negated_conjecture, (( c2_1 @ a20 ) | ( ~( hskp12 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause73])).
% 1.36/1.41 thf(zip_derived_cl72, plain, (( (c2_1 @ a20) | ~ (hskp12))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_40])).
% 1.36/1.41 thf('39', plain, (( (c2_1 @ a20)) | ~ ( (hskp12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl72])).
% 1.36/1.41 thf(clause108, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c1_1 @ a20 ) ) ))).
% 1.36/1.41 thf(zf_stmt_41, negated_conjecture, (( ~( hskp12 ) ) | ( ~( c1_1 @ a20 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause108])).
% 1.36/1.41 thf(zip_derived_cl107, plain, ((~ (hskp12) | ~ (c1_1 @ a20))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_41])).
% 1.36/1.41 thf('40', plain, (~ ( (c1_1 @ a20)) | ~ ( (hskp12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl107])).
% 1.36/1.41 thf(clause109, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c3_1 @ a20 ) ) ))).
% 1.36/1.41 thf(zf_stmt_42, negated_conjecture, (( ~( hskp12 ) ) | ( ~( c3_1 @ a20 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause109])).
% 1.36/1.41 thf(zip_derived_cl108, plain, ((~ (hskp12) | ~ (c3_1 @ a20))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_42])).
% 1.36/1.41 thf('41', plain, (~ ( (c3_1 @ a20)) | ~ ( (hskp12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl108])).
% 1.36/1.41 thf(clause147, conjecture,
% 1.36/1.41 (~( ( hskp1 ) | ( hskp10 ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_43, negated_conjecture,
% 1.36/1.41 (( hskp1 ) | ( hskp10 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause147])).
% 1.36/1.41 thf(zip_derived_cl146, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp1)
% 1.36/1.41 | (hskp10)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_43])).
% 1.36/1.41 thf(zip_derived_cl532, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.36/1.41 thf(zip_derived_cl426, plain, ((~ (c1_1 @ a20)) <= (~ ( (c1_1 @ a20)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl107])).
% 1.36/1.41 thf(zip_derived_cl1999, plain,
% 1.36/1.41 (((~ (c2_1 @ a20) | (c3_1 @ a20)))
% 1.36/1.41 <= (~ ( (c1_1 @ a20)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl532, zip_derived_cl426])).
% 1.36/1.41 thf('42', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a20)) | ( (c3_1 @ a20)) | ~ ( (c2_1 @ a20))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1999])).
% 1.36/1.41 thf(clause179, conjecture,
% 1.36/1.41 (~( ( hskp12 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_44, negated_conjecture,
% 1.36/1.41 (( hskp12 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause179])).
% 1.36/1.41 thf(zip_derived_cl178, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp12)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_44])).
% 1.36/1.41 thf('43', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ( (hskp12)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl178])).
% 1.36/1.41 thf(zip_derived_cl496, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.36/1.41 thf(clause112, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c0_1 @ a18 ) ) ))).
% 1.36/1.41 thf(zf_stmt_45, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c0_1 @ a18 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause112])).
% 1.36/1.41 thf(zip_derived_cl111, plain, ((~ (hskp10) | ~ (c0_1 @ a18))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_45])).
% 1.36/1.41 thf(zip_derived_cl434, plain, ((~ (c0_1 @ a18)) <= (~ ( (c0_1 @ a18)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl111])).
% 1.36/1.41 thf(zip_derived_cl1411, plain,
% 1.36/1.41 ((( (c2_1 @ a18) | ~ (c3_1 @ a18)))
% 1.36/1.41 <= (~ ( (c0_1 @ a18)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl496, zip_derived_cl434])).
% 1.36/1.41 thf('44', plain,
% 1.36/1.41 (( (c2_1 @ a18)) | ~ ( (c3_1 @ a18)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1411])).
% 1.36/1.41 thf(clause169, conjecture,
% 1.36/1.41 (~( ( hskp24 ) | ( hskp3 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_46, negated_conjecture,
% 1.36/1.41 (( hskp24 ) | ( hskp3 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause169])).
% 1.36/1.41 thf(zip_derived_cl168, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp24)
% 1.36/1.41 | (hskp3)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_46])).
% 1.36/1.41 thf(zip_derived_cl620, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl168])).
% 1.36/1.41 thf(clause44, conjecture, (~( ( c1_1 @ a35 ) | ( ~( hskp29 ) ) ))).
% 1.36/1.41 thf(zf_stmt_47, negated_conjecture, (( c1_1 @ a35 ) | ( ~( hskp29 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause44])).
% 1.36/1.41 thf(zip_derived_cl43, plain, (( (c1_1 @ a35) | ~ (hskp29))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_47])).
% 1.36/1.41 thf(zip_derived_cl298, plain, (( (c1_1 @ a35)) <= (( (c1_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.36/1.41 thf(zip_derived_cl827, plain,
% 1.36/1.41 (((~ (c2_1 @ a35) | ~ (c3_1 @ a35)))
% 1.36/1.41 <= (( (c1_1 @ a35)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl298])).
% 1.36/1.41 thf('45', plain,
% 1.36/1.41 (~ ( (c3_1 @ a35)) | ~ ( (c1_1 @ a35)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl827])).
% 1.36/1.41 thf(clause154, conjecture,
% 1.36/1.41 (~( ( hskp24 ) | ( hskp13 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_48, negated_conjecture,
% 1.36/1.41 (( hskp24 ) | ( hskp13 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause154])).
% 1.36/1.41 thf(zip_derived_cl153, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp24)
% 1.36/1.41 | (hskp13)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_48])).
% 1.36/1.41 thf(zip_derived_cl560, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl153])).
% 1.36/1.41 thf(zip_derived_cl456, plain, ((~ (c1_1 @ a11)) <= (~ ( (c1_1 @ a11)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl122])).
% 1.36/1.41 thf(zip_derived_cl1615, plain,
% 1.36/1.41 (((~ (c0_1 @ a11) | ~ (c3_1 @ a11)))
% 1.36/1.41 <= (~ ( (c1_1 @ a11)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl456])).
% 1.36/1.41 thf('46', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a11)) | ~ ( (c0_1 @ a11)) | ( (c1_1 @ a11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1615])).
% 1.36/1.41 thf(clause170, conjecture,
% 1.36/1.41 (~( ( hskp5 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 1.36/1.41 ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_49, negated_conjecture,
% 1.36/1.41 (( hskp5 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.36/1.41 ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause170])).
% 1.36/1.41 thf(zip_derived_cl169, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp5)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_49])).
% 1.36/1.41 thf('47', plain,
% 1.36/1.41 (( (hskp5)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl169])).
% 1.36/1.41 thf(clause186, conjecture,
% 1.36/1.41 (~( ( hskp20 ) | ( c1_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_50, negated_conjecture,
% 1.36/1.41 (( hskp20 ) | ( c1_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause186])).
% 1.36/1.41 thf(zip_derived_cl185, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp20)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_50])).
% 1.36/1.41 thf(zip_derived_cl688, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl185])).
% 1.36/1.41 thf(clause54, conjecture, (~( ( c0_1 @ a70 ) | ( ~( hskp25 ) ) ))).
% 1.36/1.41 thf(zf_stmt_51, negated_conjecture, (( c0_1 @ a70 ) | ( ~( hskp25 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause54])).
% 1.36/1.41 thf(zip_derived_cl53, plain, (( (c0_1 @ a70) | ~ (hskp25))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_51])).
% 1.36/1.41 thf(zip_derived_cl318, plain, (( (c0_1 @ a70)) <= (( (c0_1 @ a70)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl53])).
% 1.36/1.41 thf(zip_derived_cl1363, plain,
% 1.36/1.41 (((~ (c2_1 @ a70) | (c3_1 @ a70)))
% 1.36/1.41 <= (( (c0_1 @ a70)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl688, zip_derived_cl318])).
% 1.36/1.41 thf('48', plain,
% 1.36/1.41 (~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a70)) | ( (c3_1 @ a70)) | ~ ( (c0_1 @ a70))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1363])).
% 1.36/1.41 thf(zip_derived_cl532, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.36/1.41 thf(clause88, conjecture, (~( ( ~( hskp25 ) ) | ( ~( c1_1 @ a70 ) ) ))).
% 1.36/1.41 thf(zf_stmt_52, negated_conjecture, (( ~( hskp25 ) ) | ( ~( c1_1 @ a70 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause88])).
% 1.36/1.41 thf(zip_derived_cl87, plain, ((~ (hskp25) | ~ (c1_1 @ a70))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_52])).
% 1.36/1.41 thf(zip_derived_cl386, plain, ((~ (c1_1 @ a70)) <= (~ ( (c1_1 @ a70)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.36/1.41 thf(zip_derived_cl1993, plain,
% 1.36/1.41 (((~ (c2_1 @ a70) | (c3_1 @ a70)))
% 1.36/1.41 <= (~ ( (c1_1 @ a70)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl532, zip_derived_cl386])).
% 1.36/1.41 thf('49', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a70)) | ( (c3_1 @ a70)) | ( (c1_1 @ a70))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1993])).
% 1.36/1.41 thf(clause136, conjecture,
% 1.36/1.41 (~( ( hskp20 ) | ( hskp21 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_53, negated_conjecture,
% 1.36/1.41 (( hskp20 ) | ( hskp21 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause136])).
% 1.36/1.41 thf(zip_derived_cl135, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp20)
% 1.36/1.41 | (hskp21)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_53])).
% 1.36/1.41 thf(zip_derived_cl488, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl135])).
% 1.36/1.41 thf(zip_derived_cl456, plain, ((~ (c1_1 @ a11)) <= (~ ( (c1_1 @ a11)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl122])).
% 1.36/1.41 thf(zip_derived_cl1257, plain,
% 1.36/1.41 ((( (c2_1 @ a11) | (c3_1 @ a11)))
% 1.36/1.41 <= (~ ( (c1_1 @ a11)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl488, zip_derived_cl456])).
% 1.36/1.41 thf('50', plain,
% 1.36/1.41 (( (c3_1 @ a11)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a11)) | ( (c1_1 @ a11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1257])).
% 1.36/1.41 thf(zip_derived_cl512, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl141])).
% 1.36/1.41 thf(clause87, conjecture, (~( ( ~( hskp26 ) ) | ( ~( c0_1 @ a99 ) ) ))).
% 1.36/1.41 thf(zf_stmt_54, negated_conjecture, (( ~( hskp26 ) ) | ( ~( c0_1 @ a99 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause87])).
% 1.36/1.41 thf(zip_derived_cl86, plain, ((~ (hskp26) | ~ (c0_1 @ a99))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_54])).
% 1.36/1.41 thf(zip_derived_cl384, plain, ((~ (c0_1 @ a99)) <= (~ ( (c0_1 @ a99)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl86])).
% 1.36/1.41 thf(zip_derived_cl1656, plain,
% 1.36/1.41 (((~ (c2_1 @ a99) | (c3_1 @ a99)))
% 1.36/1.41 <= (~ ( (c0_1 @ a99)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl384])).
% 1.36/1.41 thf('51', plain,
% 1.36/1.41 (( (c3_1 @ a99)) | ( (c0_1 @ a99)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a99))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1656])).
% 1.36/1.41 thf(clause150, conjecture,
% 1.36/1.41 (~( ( hskp19 ) | ( hskp29 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_55, negated_conjecture,
% 1.36/1.41 (( hskp19 ) | ( hskp29 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause150])).
% 1.36/1.41 thf(zip_derived_cl149, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp19)
% 1.36/1.41 | (hskp29)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_55])).
% 1.36/1.41 thf(zip_derived_cl544, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(clause52, conjecture, (~( ( c1_1 @ a99 ) | ( ~( hskp26 ) ) ))).
% 1.36/1.41 thf(zf_stmt_56, negated_conjecture, (( c1_1 @ a99 ) | ( ~( hskp26 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause52])).
% 1.36/1.41 thf(zip_derived_cl51, plain, (( (c1_1 @ a99) | ~ (hskp26))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_56])).
% 1.36/1.41 thf(zip_derived_cl314, plain, (( (c1_1 @ a99)) <= (( (c1_1 @ a99)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.36/1.41 thf(zip_derived_cl1029, plain,
% 1.36/1.41 ((( (c0_1 @ a99) | ~ (c3_1 @ a99)))
% 1.36/1.41 <= (( (c1_1 @ a99)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl314])).
% 1.36/1.41 thf('52', plain,
% 1.36/1.41 (~ ( (c3_1 @ a99)) | ~ ( (c1_1 @ a99)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a99))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1029])).
% 1.36/1.41 thf(zip_derived_cl520, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl143])).
% 1.36/1.41 thf(clause113, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c1_1 @ a18 ) ) ))).
% 1.36/1.41 thf(zf_stmt_57, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c1_1 @ a18 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause113])).
% 1.36/1.41 thf(zip_derived_cl112, plain, ((~ (hskp10) | ~ (c1_1 @ a18))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_57])).
% 1.36/1.41 thf(zip_derived_cl436, plain, ((~ (c1_1 @ a18)) <= (~ ( (c1_1 @ a18)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl112])).
% 1.36/1.41 thf(zip_derived_cl1778, plain,
% 1.36/1.41 ((( (c2_1 @ a18) | ~ (c3_1 @ a18)))
% 1.36/1.41 <= (~ ( (c1_1 @ a18)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl520, zip_derived_cl436])).
% 1.36/1.41 thf('53', plain,
% 1.36/1.41 (( (c2_1 @ a18)) | ( (c1_1 @ a18)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1778])).
% 1.36/1.41 thf(zip_derived_cl548, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(zip_derived_cl434, plain, ((~ (c0_1 @ a18)) <= (~ ( (c0_1 @ a18)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl111])).
% 1.36/1.41 thf(zip_derived_cl1529, plain,
% 1.36/1.41 (((~ (c2_1 @ a18) | ~ (c3_1 @ a18)))
% 1.36/1.41 <= (~ ( (c0_1 @ a18)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl434])).
% 1.36/1.41 thf('54', plain,
% 1.36/1.41 (~ ( (c2_1 @ a18)) | ~ ( (c3_1 @ a18)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1529])).
% 1.36/1.41 thf(clause188, conjecture,
% 1.36/1.41 (~( ( hskp6 ) | ( c3_1 @ V ) | ( c3_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_58, negated_conjecture,
% 1.36/1.41 (( hskp6 ) | ( c3_1 @ V ) | ( c3_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause188])).
% 1.36/1.41 thf(zip_derived_cl187, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp6)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_58])).
% 1.36/1.41 thf('55', plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ( (hskp6)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl187])).
% 1.36/1.41 thf('56', plain,
% 1.36/1.41 (( (hskp10)) | ( (hskp21)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl162])).
% 1.36/1.41 thf(zip_derived_cl688, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl185])).
% 1.36/1.41 thf(zip_derived_cl296, plain, (( (c0_1 @ a35)) <= (( (c0_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.36/1.41 thf(zip_derived_cl1361, plain,
% 1.36/1.41 (((~ (c2_1 @ a35) | (c3_1 @ a35)))
% 1.36/1.41 <= (( (c0_1 @ a35)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl688, zip_derived_cl296])).
% 1.36/1.41 thf('57', plain,
% 1.36/1.41 (( (c3_1 @ a35)) | ~ ( (c0_1 @ a35)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1361])).
% 1.36/1.41 thf(zip_derived_cl596, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl162])).
% 1.36/1.41 thf(zip_derived_cl298, plain, (( (c1_1 @ a35)) <= (( (c1_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.36/1.41 thf(zip_derived_cl1136, plain,
% 1.36/1.41 (((~ (c0_1 @ a35) | (c3_1 @ a35)))
% 1.36/1.41 <= (( (c1_1 @ a35)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl298])).
% 1.36/1.41 thf('58', plain,
% 1.36/1.41 (( (c3_1 @ a35)) | ~ ( (c1_1 @ a35)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1136])).
% 1.36/1.41 thf(zip_derived_cl664, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(clause77, conjecture, (~( ( c1_1 @ a16 ) | ( ~( hskp9 ) ) ))).
% 1.36/1.41 thf(zf_stmt_59, negated_conjecture, (( c1_1 @ a16 ) | ( ~( hskp9 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause77])).
% 1.36/1.41 thf(zip_derived_cl76, plain, (( (c1_1 @ a16) | ~ (hskp9))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_59])).
% 1.36/1.41 thf(zip_derived_cl364, plain, (( (c1_1 @ a16)) <= (( (c1_1 @ a16)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl76])).
% 1.36/1.41 thf(zip_derived_cl1286, plain,
% 1.36/1.41 (((~ (c2_1 @ a16) | (c3_1 @ a16)))
% 1.36/1.41 <= (( (c1_1 @ a16)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl364])).
% 1.36/1.41 thf('59', plain,
% 1.36/1.41 (~ ( (c2_1 @ a16)) | ~ ( (c1_1 @ a16)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ( (c3_1 @ a16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1286])).
% 1.36/1.41 thf(zip_derived_cl664, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(zip_derived_cl298, plain, (( (c1_1 @ a35)) <= (( (c1_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.36/1.41 thf(zip_derived_cl1279, plain,
% 1.36/1.41 (((~ (c2_1 @ a35) | (c3_1 @ a35)))
% 1.36/1.41 <= (( (c1_1 @ a35)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl298])).
% 1.36/1.41 thf('60', plain,
% 1.36/1.41 (( (c3_1 @ a35)) | ~ ( (c2_1 @ a35)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (c1_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1279])).
% 1.36/1.41 thf(zip_derived_cl298, plain, (( (c1_1 @ a35)) <= (( (c1_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.36/1.41 thf(zip_derived_cl604, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.36/1.41 thf(zip_derived_cl796, plain,
% 1.36/1.41 (((~ (c3_1 @ a35) | ~ (c0_1 @ a35)))
% 1.36/1.41 <= (( (c1_1 @ a35)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl604])).
% 1.36/1.41 thf('61', plain,
% 1.36/1.41 (~ ( (c3_1 @ a35)) | ~ ( (c0_1 @ a35)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl796])).
% 1.36/1.41 thf(clause194, conjecture,
% 1.36/1.41 (~( ( hskp7 ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_60, negated_conjecture,
% 1.36/1.41 (( hskp7 ) | ( ~( c2_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.36/1.41 ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause194])).
% 1.36/1.41 thf(zip_derived_cl193, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp7)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_60])).
% 1.36/1.41 thf('62', plain,
% 1.36/1.41 (( (hskp7)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl193])).
% 1.36/1.41 thf('63', plain,
% 1.36/1.41 (( (hskp20)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) | ( (hskp21))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl135])).
% 1.36/1.41 thf(clause176, conjecture,
% 1.36/1.41 (~( ( hskp1 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_61, negated_conjecture,
% 1.36/1.41 (( hskp1 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause176])).
% 1.36/1.41 thf(zip_derived_cl175, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp1)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_61])).
% 1.36/1.41 thf('64', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp1)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl175])).
% 1.36/1.41 thf(zip_derived_cl544, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(clause85, conjecture, (~( ( c1_1 @ a1 ) | ( ~( hskp0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_62, negated_conjecture, (( c1_1 @ a1 ) | ( ~( hskp0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause85])).
% 1.36/1.41 thf(zip_derived_cl84, plain, (( (c1_1 @ a1) | ~ (hskp0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_62])).
% 1.36/1.41 thf(zip_derived_cl380, plain, (( (c1_1 @ a1)) <= (( (c1_1 @ a1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.36/1.41 thf(zip_derived_cl1036, plain,
% 1.36/1.41 ((( (c0_1 @ a1) | ~ (c3_1 @ a1)))
% 1.36/1.41 <= (( (c1_1 @ a1)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl380])).
% 1.36/1.41 thf(zip_derived_cl2618, plain, (( (c0_1 @ a1)) <= (( (c0_1 @ a1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1036])).
% 1.36/1.41 thf(zip_derived_cl688, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl185])).
% 1.36/1.41 thf(zip_derived_cl2624, plain,
% 1.36/1.41 ((( (c3_1 @ a1) | ~ (c2_1 @ a1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) &
% 1.36/1.41 ( (c0_1 @ a1)))),
% 1.36/1.41 inference('s_sup-', [status(thm)],
% 1.36/1.41 [zip_derived_cl2618, zip_derived_cl688])).
% 1.36/1.41 thf('65', plain,
% 1.36/1.41 (~ ( (c0_1 @ a1)) | ( (c3_1 @ a1)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2624])).
% 1.36/1.41 thf(clause202, conjecture,
% 1.36/1.41 (~( ( c2_1 @ W ) | ( c1_1 @ W ) | ( c2_1 @ V ) | ( ~( c3_1 @ W ) ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_63, negated_conjecture,
% 1.36/1.41 (( c2_1 @ W ) | ( c1_1 @ W ) | ( c2_1 @ V ) | ( ~( c3_1 @ W ) ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause202])).
% 1.36/1.41 thf(zip_derived_cl201, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c2_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X2)
% 1.36/1.41 | ~ (c1_1 @ X2)
% 1.36/1.41 | ~ (c0_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_63])).
% 1.36/1.41 thf('66', plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl201])).
% 1.36/1.41 thf(clause164, conjecture,
% 1.36/1.41 (~( ( hskp11 ) | ( hskp19 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_64, negated_conjecture,
% 1.36/1.41 (( hskp11 ) | ( hskp19 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause164])).
% 1.36/1.41 thf(zip_derived_cl163, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp11)
% 1.36/1.41 | (hskp19)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_64])).
% 1.36/1.41 thf('67', plain,
% 1.36/1.41 (( (hskp19)) | ( (hskp11)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(clause197, conjecture,
% 1.36/1.41 (~( ( c3_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) |
% 1.36/1.41 ( c2_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_65, negated_conjecture,
% 1.36/1.41 (( c3_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) |
% 1.36/1.41 ( c2_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause197])).
% 1.36/1.41 thf(zip_derived_cl196, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c3_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c2_1 @ X2)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X2)
% 1.36/1.41 | ~ (c1_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_65])).
% 1.36/1.41 thf('68', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl196])).
% 1.36/1.41 thf(zip_derived_cl520, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl143])).
% 1.36/1.41 thf(zip_derived_cl418, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl103])).
% 1.36/1.41 thf(zip_derived_cl1780, plain,
% 1.36/1.41 ((( (c2_1 @ a24) | ~ (c3_1 @ a24)))
% 1.36/1.41 <= (~ ( (c1_1 @ a24)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl520, zip_derived_cl418])).
% 1.36/1.41 thf('69', plain,
% 1.36/1.41 (~ ( (c3_1 @ a24)) | ( (c1_1 @ a24)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1780])).
% 1.36/1.41 thf('70', plain, (~ ( (c1_1 @ a24)) | ~ ( (hskp15))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl103])).
% 1.36/1.41 thf(clause105, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c2_1 @ a24 ) ) ))).
% 1.36/1.41 thf(zf_stmt_66, negated_conjecture, (( ~( hskp15 ) ) | ( ~( c2_1 @ a24 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause105])).
% 1.36/1.41 thf(zip_derived_cl104, plain, ((~ (hskp15) | ~ (c2_1 @ a24))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_66])).
% 1.36/1.41 thf('71', plain, (~ ( (c2_1 @ a24)) | ~ ( (hskp15))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl104])).
% 1.36/1.41 thf(clause139, conjecture,
% 1.36/1.41 (~( ( hskp15 ) | ( hskp5 ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_67, negated_conjecture,
% 1.36/1.41 (( hskp15 ) | ( hskp5 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause139])).
% 1.36/1.41 thf(zip_derived_cl138, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp15)
% 1.36/1.41 | (hskp5)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_67])).
% 1.36/1.41 thf('72', plain,
% 1.36/1.41 (( (hskp15)) | ( (hskp5)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl138])).
% 1.36/1.41 thf(clause171, conjecture,
% 1.36/1.41 (~( ( hskp2 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 1.36/1.41 ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_68, negated_conjecture,
% 1.36/1.41 (( hskp2 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause171])).
% 1.36/1.41 thf(zip_derived_cl170, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp2)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_68])).
% 1.36/1.41 thf('73', plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp2)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl170])).
% 1.36/1.41 thf(clause79, conjecture, (~( ( c0_1 @ a11 ) | ( ~( hskp5 ) ) ))).
% 1.36/1.41 thf(zf_stmt_69, negated_conjecture, (( c0_1 @ a11 ) | ( ~( hskp5 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause79])).
% 1.36/1.41 thf(zip_derived_cl78, plain, (( (c0_1 @ a11) | ~ (hskp5))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_69])).
% 1.36/1.41 thf('74', plain, (( (c0_1 @ a11)) | ~ ( (hskp5))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl78])).
% 1.36/1.41 thf('75', plain, (~ ( (c1_1 @ a11)) | ~ ( (hskp5))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl122])).
% 1.36/1.41 thf(clause124, conjecture, (~( ( ~( hskp5 ) ) | ( ~( c2_1 @ a11 ) ) ))).
% 1.36/1.41 thf(zf_stmt_70, negated_conjecture, (( ~( hskp5 ) ) | ( ~( c2_1 @ a11 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause124])).
% 1.36/1.41 thf(zip_derived_cl123, plain, ((~ (hskp5) | ~ (c2_1 @ a11))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_70])).
% 1.36/1.41 thf('76', plain, (~ ( (c2_1 @ a11)) | ~ ( (hskp5))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl123])).
% 1.36/1.41 thf(zip_derived_cl728, plain,
% 1.36/1.41 ((![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2)))
% 1.36/1.41 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl195])).
% 1.36/1.41 thf(zip_derived_cl456, plain, ((~ (c1_1 @ a11)) <= (~ ( (c1_1 @ a11)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl122])).
% 1.36/1.41 thf(zip_derived_cl2260, plain,
% 1.36/1.41 (((~ (c0_1 @ a11) | (c2_1 @ a11)))
% 1.36/1.41 <= (~ ( (c1_1 @ a11)) &
% 1.36/1.41 (![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl728, zip_derived_cl456])).
% 1.36/1.41 thf('77', plain,
% 1.36/1.41 (~ (![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2))) |
% 1.36/1.41 ~ ( (c0_1 @ a11)) | ( (c1_1 @ a11)) | ( (c2_1 @ a11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2260])).
% 1.36/1.41 thf('78', plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X2 : $i]: ( (c2_1 @ X2) | (c1_1 @ X2) | ~ (c0_1 @ X2)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl195])).
% 1.36/1.41 thf(zip_derived_cl476, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl132])).
% 1.36/1.41 thf(zip_derived_cl404, plain, ((~ (c1_1 @ a36)) <= (~ ( (c1_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf(zip_derived_cl1012, plain,
% 1.36/1.41 ((( (c0_1 @ a36) | (c3_1 @ a36)))
% 1.36/1.41 <= (~ ( (c1_1 @ a36)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl404])).
% 1.36/1.41 thf(zip_derived_cl1804, plain, (( (c0_1 @ a36)) <= (( (c0_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1012])).
% 1.36/1.41 thf(zip_derived_cl600, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(zip_derived_cl552, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl151])).
% 1.36/1.41 thf(zip_derived_cl1578, plain,
% 1.36/1.41 ((![X0 : $i]:
% 1.36/1.41 (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl552])).
% 1.36/1.41 thf(zip_derived_cl1585, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('simplify', [status(thm)], [zip_derived_cl1578])).
% 1.36/1.41 thf(zip_derived_cl2410, plain,
% 1.36/1.41 ((~ (c2_1 @ a36))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 ( (c0_1 @ a36)))),
% 1.36/1.41 inference('s_sup-', [status(thm)],
% 1.36/1.41 [zip_derived_cl1804, zip_derived_cl1585])).
% 1.36/1.41 thf(clause63, conjecture, (~( ( c2_1 @ a36 ) | ( ~( hskp19 ) ) ))).
% 1.36/1.41 thf(zf_stmt_71, negated_conjecture, (( c2_1 @ a36 ) | ( ~( hskp19 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause63])).
% 1.36/1.41 thf(zip_derived_cl62, plain, (( (c2_1 @ a36) | ~ (hskp19))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_71])).
% 1.36/1.41 thf(zip_derived_cl336, plain, (( (c2_1 @ a36)) <= (( (c2_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl62])).
% 1.36/1.41 thf('79', plain,
% 1.36/1.41 (~ ( (c0_1 @ a36)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a36))),
% 1.36/1.41 inference('s_sup+', [status(thm)],
% 1.36/1.41 [zip_derived_cl2410, zip_derived_cl336])).
% 1.36/1.41 thf(zip_derived_cl673, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl181])).
% 1.36/1.41 thf(zip_derived_cl436, plain, ((~ (c1_1 @ a18)) <= (~ ( (c1_1 @ a18)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl112])).
% 1.36/1.41 thf(zip_derived_cl2207, plain,
% 1.36/1.41 ((( (c0_1 @ a18) | ~ (c3_1 @ a18)))
% 1.36/1.41 <= (~ ( (c1_1 @ a18)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl673, zip_derived_cl436])).
% 1.36/1.41 thf('80', plain,
% 1.36/1.41 (~ ( (c3_1 @ a18)) | ( (c0_1 @ a18)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a18))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2207])).
% 1.36/1.41 thf(clause75, conjecture, (~( ( c3_1 @ a18 ) | ( ~( hskp10 ) ) ))).
% 1.36/1.41 thf(zf_stmt_72, negated_conjecture, (( c3_1 @ a18 ) | ( ~( hskp10 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause75])).
% 1.36/1.41 thf(zip_derived_cl74, plain, (( (c3_1 @ a18) | ~ (hskp10))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_72])).
% 1.36/1.41 thf('81', plain, (( (c3_1 @ a18)) | ~ ( (hskp10))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl74])).
% 1.36/1.41 thf('82', plain, (~ ( (c0_1 @ a18)) | ~ ( (hskp10))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl111])).
% 1.36/1.41 thf('83', plain, (~ ( (c1_1 @ a18)) | ~ ( (hskp10))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl112])).
% 1.36/1.41 thf(zip_derived_cl484, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl134])).
% 1.36/1.41 thf(clause129, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c0_1 @ a2 ) ) ))).
% 1.36/1.41 thf(zf_stmt_73, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c0_1 @ a2 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause129])).
% 1.36/1.41 thf(zip_derived_cl128, plain, ((~ (hskp1) | ~ (c0_1 @ a2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_73])).
% 1.36/1.41 thf(zip_derived_cl468, plain, ((~ (c0_1 @ a2)) <= (~ ( (c0_1 @ a2)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl128])).
% 1.36/1.41 thf(zip_derived_cl1192, plain,
% 1.36/1.41 ((( (c2_1 @ a2) | (c3_1 @ a2)))
% 1.36/1.41 <= (~ ( (c0_1 @ a2)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl468])).
% 1.36/1.41 thf('84', plain,
% 1.36/1.41 (( (c0_1 @ a2)) | ( (c2_1 @ a2)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c3_1 @ a2))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1192])).
% 1.36/1.41 thf(clause177, conjecture,
% 1.36/1.41 (~( ( hskp10 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_74, negated_conjecture,
% 1.36/1.41 (( hskp10 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c1_1 @ U ) |
% 1.36/1.41 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause177])).
% 1.36/1.41 thf(zip_derived_cl176, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp10)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_74])).
% 1.36/1.41 thf('85', plain,
% 1.36/1.41 (( (hskp10)) |
% 1.36/1.41 (![X1 : $i]: (~ (c3_1 @ X1) | (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl176])).
% 1.36/1.41 thf('86', plain, (~ ( (c0_1 @ a2)) | ~ ( (hskp1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl128])).
% 1.36/1.41 thf(clause130, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c2_1 @ a2 ) ) ))).
% 1.36/1.41 thf(zf_stmt_75, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c2_1 @ a2 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause130])).
% 1.36/1.41 thf(zip_derived_cl129, plain, ((~ (hskp1) | ~ (c2_1 @ a2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_75])).
% 1.36/1.41 thf('87', plain, (~ ( (c2_1 @ a2)) | ~ ( (hskp1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl129])).
% 1.36/1.41 thf(clause131, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c3_1 @ a2 ) ) ))).
% 1.36/1.41 thf(zf_stmt_76, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c3_1 @ a2 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause131])).
% 1.36/1.41 thf(zip_derived_cl130, plain, ((~ (hskp1) | ~ (c3_1 @ a2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_76])).
% 1.36/1.41 thf('88', plain, (~ ( (c3_1 @ a2)) | ~ ( (hskp1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl130])).
% 1.36/1.41 thf(clause134, conjecture,
% 1.36/1.41 (~( ( hskp1 ) | ( hskp2 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_77, negated_conjecture,
% 1.36/1.41 (( hskp1 ) | ( hskp2 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause134])).
% 1.36/1.41 thf(zip_derived_cl133, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp1)
% 1.36/1.41 | (hskp2)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_77])).
% 1.36/1.41 thf('89', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (hskp2)) | ~ ( (ndr1_0)) | ( (hskp1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl133])).
% 1.36/1.41 thf(zip_derived_cl476, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl132])).
% 1.36/1.41 thf(clause121, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c1_1 @ a13 ) ) ))).
% 1.36/1.41 thf(zf_stmt_78, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c1_1 @ a13 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause121])).
% 1.36/1.41 thf(zip_derived_cl120, plain, ((~ (hskp6) | ~ (c1_1 @ a13))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_78])).
% 1.36/1.41 thf(zip_derived_cl452, plain, ((~ (c1_1 @ a13)) <= (~ ( (c1_1 @ a13)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl120])).
% 1.36/1.41 thf(zip_derived_cl1019, plain,
% 1.36/1.41 ((( (c0_1 @ a13) | (c3_1 @ a13)))
% 1.36/1.41 <= (~ ( (c1_1 @ a13)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl452])).
% 1.36/1.41 thf('90', plain,
% 1.36/1.41 (( (c1_1 @ a13)) | ( (c3_1 @ a13)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1019])).
% 1.36/1.41 thf(clause175, conjecture,
% 1.36/1.41 (~( ( hskp9 ) | ( c0_1 @ U ) | ( c3_1 @ V ) | ( c2_1 @ V ) |
% 1.36/1.41 ( c1_1 @ V ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( ndr1_0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_79, negated_conjecture,
% 1.36/1.41 (( hskp9 ) | ( c0_1 @ U ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( ndr1_0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause175])).
% 1.36/1.41 thf(zip_derived_cl174, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp9)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_79])).
% 1.36/1.41 thf('91', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp9)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl174])).
% 1.36/1.41 thf('92', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp6)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(zip_derived_cl645, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl174])).
% 1.36/1.41 thf(zip_derived_cl380, plain, (( (c1_1 @ a1)) <= (( (c1_1 @ a1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.36/1.41 thf(zip_derived_cl1212, plain,
% 1.36/1.41 (((~ (c2_1 @ a1) | (c0_1 @ a1)))
% 1.36/1.41 <= (( (c1_1 @ a1)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl645, zip_derived_cl380])).
% 1.36/1.41 thf('93', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a1)) | ~ ( (c2_1 @ a1)) | ~ ( (c1_1 @ a1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1212])).
% 1.36/1.41 thf(zip_derived_cl512, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl141])).
% 1.36/1.41 thf(zip_derived_cl380, plain, (( (c1_1 @ a1)) <= (( (c1_1 @ a1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.36/1.41 thf(zip_derived_cl600, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(zip_derived_cl989, plain,
% 1.36/1.41 (((~ (c0_1 @ a1) | ~ (c2_1 @ a1)))
% 1.36/1.41 <= (( (c1_1 @ a1)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl600])).
% 1.36/1.41 thf(zip_derived_cl1453, plain, ((~ (c0_1 @ a1)) <= (~ ( (c0_1 @ a1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl989])).
% 1.36/1.41 thf(zip_derived_cl1668, plain,
% 1.36/1.41 (((~ (c2_1 @ a1) | (c3_1 @ a1)))
% 1.36/1.41 <= (~ ( (c0_1 @ a1)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)],
% 1.36/1.41 [zip_derived_cl512, zip_derived_cl1453])).
% 1.36/1.41 thf('94', plain,
% 1.36/1.41 (( (c0_1 @ a1)) | ( (c3_1 @ a1)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1668])).
% 1.36/1.41 thf('95', plain,
% 1.36/1.41 (~ ( (c0_1 @ a1)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a1)) | ~ ( (c2_1 @ a1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl989])).
% 1.36/1.41 thf(clause61, conjecture, (~( ( c1_1 @ a37 ) | ( ~( hskp20 ) ) ))).
% 1.36/1.41 thf(zf_stmt_80, negated_conjecture, (( c1_1 @ a37 ) | ( ~( hskp20 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause61])).
% 1.36/1.41 thf(zip_derived_cl60, plain, (( (c1_1 @ a37) | ~ (hskp20))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_80])).
% 1.36/1.41 thf(zip_derived_cl332, plain, (( (c1_1 @ a37)) <= (( (c1_1 @ a37)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl60])).
% 1.36/1.41 thf(zip_derived_cl620, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl168])).
% 1.36/1.41 thf(zip_derived_cl907, plain,
% 1.36/1.41 (((~ (c3_1 @ a37) | ~ (c2_1 @ a37)))
% 1.36/1.41 <= (( (c1_1 @ a37)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl620])).
% 1.36/1.41 thf('96', plain,
% 1.36/1.41 (~ ( (c2_1 @ a37)) | ~ ( (c1_1 @ a37)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a37))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl907])).
% 1.36/1.41 thf('97', plain,
% 1.36/1.41 (( (hskp0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) | ( (hskp28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl161])).
% 1.36/1.41 thf(clause47, conjecture, (~( ( c2_1 @ a25 ) | ( ~( hskp28 ) ) ))).
% 1.36/1.41 thf(zf_stmt_81, negated_conjecture, (( c2_1 @ a25 ) | ( ~( hskp28 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause47])).
% 1.36/1.41 thf(zip_derived_cl46, plain, (( (c2_1 @ a25) | ~ (hskp28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_81])).
% 1.36/1.41 thf('98', plain, (( (c2_1 @ a25)) | ~ ( (hskp28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl46])).
% 1.36/1.41 thf(zip_derived_cl620, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl168])).
% 1.36/1.41 thf(clause46, conjecture, (~( ( c1_1 @ a25 ) | ( ~( hskp28 ) ) ))).
% 1.36/1.41 thf(zf_stmt_82, negated_conjecture, (( c1_1 @ a25 ) | ( ~( hskp28 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause46])).
% 1.36/1.41 thf(zip_derived_cl45, plain, (( (c1_1 @ a25) | ~ (hskp28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_82])).
% 1.36/1.41 thf(zip_derived_cl302, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl828, plain,
% 1.36/1.41 (((~ (c2_1 @ a25) | ~ (c3_1 @ a25)))
% 1.36/1.41 <= (( (c1_1 @ a25)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl302])).
% 1.36/1.41 thf('99', plain,
% 1.36/1.41 (~ ( (c2_1 @ a25)) | ~ ( (c3_1 @ a25)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl828])).
% 1.36/1.41 thf('100', plain,
% 1.36/1.41 (( (hskp24)) | ( (hskp3)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl168])).
% 1.36/1.41 thf(zip_derived_cl560, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl153])).
% 1.36/1.41 thf(zip_derived_cl404, plain, ((~ (c1_1 @ a36)) <= (~ ( (c1_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf(zip_derived_cl1611, plain,
% 1.36/1.41 (((~ (c0_1 @ a36) | ~ (c3_1 @ a36)))
% 1.36/1.41 <= (~ ( (c1_1 @ a36)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl404])).
% 1.36/1.41 thf('101', plain,
% 1.36/1.41 (~ ( (c0_1 @ a36)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a36)) | ( (c1_1 @ a36))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1611])).
% 1.36/1.41 thf(clause137, conjecture,
% 1.36/1.41 (~( ( hskp0 ) | ( hskp3 ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_83, negated_conjecture,
% 1.36/1.41 (( hskp0 ) | ( hskp3 ) | ( c1_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause137])).
% 1.36/1.41 thf(zip_derived_cl136, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp0)
% 1.36/1.41 | (hskp3)
% 1.36/1.41 | (c1_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_83])).
% 1.36/1.41 thf(zip_derived_cl492, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl136])).
% 1.36/1.41 thf(zip_derived_cl404, plain, ((~ (c1_1 @ a36)) <= (~ ( (c1_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf(zip_derived_cl1330, plain,
% 1.36/1.41 (((~ (c2_1 @ a36) | (c0_1 @ a36)))
% 1.36/1.41 <= (~ ( (c1_1 @ a36)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl492, zip_derived_cl404])).
% 1.36/1.41 thf('102', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a36)) | ~ ( (c2_1 @ a36)) | ( (c1_1 @ a36))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1330])).
% 1.36/1.41 thf(zip_derived_cl592, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl161])).
% 1.36/1.41 thf(zip_derived_cl332, plain, (( (c1_1 @ a37)) <= (( (c1_1 @ a37)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl60])).
% 1.36/1.41 thf(zip_derived_cl1117, plain,
% 1.36/1.41 ((( (c2_1 @ a37) | ~ (c3_1 @ a37)))
% 1.36/1.41 <= (( (c1_1 @ a37)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl332])).
% 1.36/1.41 thf('103', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a37)) | ~ ( (c1_1 @ a37)) | ~ ( (c3_1 @ a37))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1117])).
% 1.36/1.41 thf(zip_derived_cl488, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl135])).
% 1.36/1.41 thf(zip_derived_cl418, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl103])).
% 1.36/1.41 thf(zip_derived_cl1258, plain,
% 1.36/1.41 ((( (c2_1 @ a24) | (c3_1 @ a24)))
% 1.36/1.41 <= (~ ( (c1_1 @ a24)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl488, zip_derived_cl418])).
% 1.36/1.41 thf('104', plain,
% 1.36/1.41 (( (c3_1 @ a24)) | ( (c1_1 @ a24)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1258])).
% 1.36/1.41 thf('105', plain, (( (c2_1 @ a36)) | ~ ( (hskp19))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl62])).
% 1.36/1.41 thf(clause64, conjecture, (~( ( c3_1 @ a36 ) | ( ~( hskp19 ) ) ))).
% 1.36/1.41 thf(zf_stmt_84, negated_conjecture, (( c3_1 @ a36 ) | ( ~( hskp19 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause64])).
% 1.36/1.41 thf(zip_derived_cl63, plain, (( (c3_1 @ a36) | ~ (hskp19))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_84])).
% 1.36/1.41 thf('106', plain, (( (c3_1 @ a36)) | ~ ( (hskp19))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl63])).
% 1.36/1.41 thf('107', plain, (~ ( (c1_1 @ a36)) | ~ ( (hskp19))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf('108', plain,
% 1.36/1.41 (( (hskp19)) | ( (hskp29)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(clause159, conjecture,
% 1.36/1.41 (~( ( hskp17 ) | ( hskp14 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_85, negated_conjecture,
% 1.36/1.41 (( hskp17 ) | ( hskp14 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause159])).
% 1.36/1.41 thf(zip_derived_cl158, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp17)
% 1.36/1.41 | (hskp14)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_85])).
% 1.36/1.41 thf('109', plain,
% 1.36/1.41 (( (hskp17)) | ( (hskp14)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl158])).
% 1.36/1.41 thf(clause157, conjecture,
% 1.36/1.41 (~( ( hskp14 ) | ( hskp16 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_86, negated_conjecture,
% 1.36/1.41 (( hskp14 ) | ( hskp16 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause157])).
% 1.36/1.41 thf(zip_derived_cl156, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp14)
% 1.36/1.41 | (hskp16)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_86])).
% 1.36/1.41 thf('110', plain,
% 1.36/1.41 (( (hskp16)) | ( (hskp14)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.36/1.41 thf(clause161, conjecture,
% 1.36/1.41 (~( ( hskp9 ) | ( hskp29 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_87, negated_conjecture,
% 1.36/1.41 (( hskp9 ) | ( hskp29 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause161])).
% 1.36/1.41 thf(zip_derived_cl160, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp9)
% 1.36/1.41 | (hskp29)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_87])).
% 1.36/1.41 thf(zip_derived_cl588, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl160])).
% 1.36/1.41 thf(clause49, conjecture, (~( ( c0_1 @ a12 ) | ( ~( hskp27 ) ) ))).
% 1.36/1.41 thf(zf_stmt_88, negated_conjecture, (( c0_1 @ a12 ) | ( ~( hskp27 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause49])).
% 1.36/1.41 thf(zip_derived_cl48, plain, (( (c0_1 @ a12) | ~ (hskp27))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_88])).
% 1.36/1.41 thf(zip_derived_cl308, plain, (( (c0_1 @ a12)) <= (( (c0_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl48])).
% 1.36/1.41 thf(zip_derived_cl1089, plain,
% 1.36/1.41 ((( (c2_1 @ a12) | ~ (c3_1 @ a12)))
% 1.36/1.41 <= (( (c0_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl588, zip_derived_cl308])).
% 1.36/1.41 thf('111', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a12)) | ~ ( (c3_1 @ a12)) | ~ ( (c0_1 @ a12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1089])).
% 1.36/1.41 thf(clause51, conjecture, (~( ( c3_1 @ a12 ) | ( ~( hskp27 ) ) ))).
% 1.36/1.41 thf(zf_stmt_89, negated_conjecture, (( c3_1 @ a12 ) | ( ~( hskp27 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause51])).
% 1.36/1.41 thf(zip_derived_cl50, plain, (( (c3_1 @ a12) | ~ (hskp27))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_89])).
% 1.36/1.41 thf('112', plain, (( (c3_1 @ a12)) | ~ ( (hskp27))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl50])).
% 1.36/1.41 thf(clause173, conjecture,
% 1.36/1.41 (~( ( hskp27 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 1.36/1.41 ( c2_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_90, negated_conjecture,
% 1.36/1.41 (( hskp27 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause173])).
% 1.36/1.41 thf(zip_derived_cl172, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp27)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_90])).
% 1.36/1.41 thf('113', plain,
% 1.36/1.41 (( (hskp27)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl172])).
% 1.36/1.41 thf(zip_derived_cl484, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl134])).
% 1.36/1.41 thf(clause120, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c0_1 @ a13 ) ) ))).
% 1.36/1.41 thf(zf_stmt_91, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c0_1 @ a13 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause120])).
% 1.36/1.41 thf(zip_derived_cl119, plain, ((~ (hskp6) | ~ (c0_1 @ a13))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_91])).
% 1.36/1.41 thf(zip_derived_cl450, plain, ((~ (c0_1 @ a13)) <= (~ ( (c0_1 @ a13)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl119])).
% 1.36/1.41 thf(zip_derived_cl1191, plain,
% 1.36/1.41 ((( (c2_1 @ a13) | (c3_1 @ a13)))
% 1.36/1.41 <= (~ ( (c0_1 @ a13)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl450])).
% 1.36/1.41 thf('114', plain,
% 1.36/1.41 (( (c2_1 @ a13)) | ( (c3_1 @ a13)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1191])).
% 1.36/1.41 thf(zip_derived_cl492, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl136])).
% 1.36/1.41 thf(zip_derived_cl452, plain, ((~ (c1_1 @ a13)) <= (~ ( (c1_1 @ a13)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl120])).
% 1.36/1.41 thf(zip_derived_cl1337, plain,
% 1.36/1.41 (((~ (c2_1 @ a13) | (c0_1 @ a13)))
% 1.36/1.41 <= (~ ( (c1_1 @ a13)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl492, zip_derived_cl452])).
% 1.36/1.41 thf('115', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a13)) | ( (c0_1 @ a13)) | ( (c1_1 @ a13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1337])).
% 1.36/1.41 thf('116', plain, (~ ( (c0_1 @ a13)) | ~ ( (hskp6))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl119])).
% 1.36/1.41 thf('117', plain, (~ ( (c1_1 @ a13)) | ~ ( (hskp6))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl120])).
% 1.36/1.41 thf(clause122, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c3_1 @ a13 ) ) ))).
% 1.36/1.41 thf(zf_stmt_92, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c3_1 @ a13 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause122])).
% 1.36/1.41 thf(zip_derived_cl121, plain, ((~ (hskp6) | ~ (c3_1 @ a13))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_92])).
% 1.36/1.41 thf('118', plain, (~ ( (c3_1 @ a13)) | ~ ( (hskp6))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl121])).
% 1.36/1.41 thf(clause160, conjecture,
% 1.36/1.41 (~( ( hskp6 ) | ( hskp24 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_93, negated_conjecture,
% 1.36/1.41 (( hskp6 ) | ( hskp24 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause160])).
% 1.36/1.41 thf(zip_derived_cl159, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp6)
% 1.36/1.41 | (hskp24)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_93])).
% 1.36/1.41 thf('119', plain,
% 1.36/1.41 (( (hskp24)) | ( (hskp6)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.36/1.41 thf(clause203, conjecture,
% 1.36/1.41 (~( ( c2_1 @ W ) | ( c2_1 @ V ) | ( c3_1 @ U ) | ( ~( c1_1 @ W ) ) |
% 1.36/1.41 ( ~( c0_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_94, negated_conjecture,
% 1.36/1.41 (( c2_1 @ W ) | ( c2_1 @ V ) | ( c3_1 @ U ) | ( ~( c1_1 @ W ) ) |
% 1.36/1.41 ( ~( c0_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause203])).
% 1.36/1.41 thf(zip_derived_cl202, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c2_1 @ X0)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c3_1 @ X2)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c1_1 @ X2)
% 1.36/1.41 | ~ (c0_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_94])).
% 1.36/1.41 thf('120', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl202])).
% 1.36/1.41 thf(zip_derived_cl310, plain, (( (c1_1 @ a12)) <= (( (c1_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.36/1.41 thf(zip_derived_cl600, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(zip_derived_cl841, plain,
% 1.36/1.41 (((~ (c0_1 @ a12) | ~ (c2_1 @ a12)))
% 1.36/1.41 <= (( (c1_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl600])).
% 1.36/1.41 thf('121', plain,
% 1.36/1.41 (~ ( (c2_1 @ a12)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a12)) | ~ ( (c0_1 @ a12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl841])).
% 1.36/1.41 thf('122', plain, (( (c0_1 @ a12)) | ~ ( (hskp27))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl48])).
% 1.36/1.41 thf('123', plain, (( (c1_1 @ a12)) | ~ ( (hskp27))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.36/1.41 thf(zip_derived_cl572, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.36/1.41 thf(zip_derived_cl310, plain, (( (c1_1 @ a12)) <= (( (c1_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.36/1.41 thf(zip_derived_cl1054, plain,
% 1.36/1.41 ((( (c2_1 @ a12) | ~ (c0_1 @ a12)))
% 1.36/1.41 <= (( (c1_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl310])).
% 1.36/1.41 thf('124', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a12)) | ~ ( (c0_1 @ a12)) | ~ ( (c1_1 @ a12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1054])).
% 1.36/1.41 thf(zip_derived_cl364, plain, (( (c1_1 @ a16)) <= (( (c1_1 @ a16)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl76])).
% 1.36/1.41 thf(zip_derived_cl600, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(zip_derived_cl955, plain,
% 1.36/1.41 (((~ (c0_1 @ a16) | ~ (c2_1 @ a16)))
% 1.36/1.41 <= (( (c1_1 @ a16)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl364, zip_derived_cl600])).
% 1.36/1.41 thf('125', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a16)) | ~ ( (c0_1 @ a16)) | ~ ( (c1_1 @ a16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl955])).
% 1.36/1.41 thf(zip_derived_cl572, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.36/1.41 thf(zip_derived_cl364, plain, (( (c1_1 @ a16)) <= (( (c1_1 @ a16)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl76])).
% 1.36/1.41 thf(zip_derived_cl1059, plain,
% 1.36/1.41 ((( (c2_1 @ a16) | ~ (c0_1 @ a16)))
% 1.36/1.41 <= (( (c1_1 @ a16)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl364])).
% 1.36/1.41 thf('126', plain,
% 1.36/1.41 (( (c2_1 @ a16)) | ~ ( (c0_1 @ a16)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1059])).
% 1.36/1.41 thf(clause59, conjecture, (~( ( c0_1 @ a38 ) | ( ~( hskp21 ) ) ))).
% 1.36/1.41 thf(zf_stmt_95, negated_conjecture, (( c0_1 @ a38 ) | ( ~( hskp21 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause59])).
% 1.36/1.41 thf(zip_derived_cl58, plain, (( (c0_1 @ a38) | ~ (hskp21))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_95])).
% 1.36/1.41 thf('127', plain, (( (c0_1 @ a38)) | ~ ( (hskp21))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl58])).
% 1.36/1.41 thf('128', plain, (( (c1_1 @ a38)) | ~ ( (hskp21))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.36/1.41 thf(clause95, conjecture, (~( ( ~( hskp21 ) ) | ( ~( c2_1 @ a38 ) ) ))).
% 1.36/1.41 thf(zf_stmt_96, negated_conjecture, (( ~( hskp21 ) ) | ( ~( c2_1 @ a38 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause95])).
% 1.36/1.41 thf(zip_derived_cl94, plain, ((~ (hskp21) | ~ (c2_1 @ a38))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_96])).
% 1.36/1.41 thf('129', plain, (~ ( (c2_1 @ a38)) | ~ ( (hskp21))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl94])).
% 1.36/1.41 thf(zip_derived_cl572, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.36/1.41 thf(zip_derived_cl330, plain, (( (c1_1 @ a38)) <= (( (c1_1 @ a38)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.36/1.41 thf(zip_derived_cl1056, plain,
% 1.36/1.41 ((( (c2_1 @ a38) | ~ (c0_1 @ a38)))
% 1.36/1.41 <= (( (c1_1 @ a38)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl330])).
% 1.36/1.41 thf('130', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a38)) | ( (c2_1 @ a38)) | ~ ( (c1_1 @ a38))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1056])).
% 1.36/1.41 thf(clause48, conjecture, (~( ( c3_1 @ a25 ) | ( ~( hskp28 ) ) ))).
% 1.36/1.41 thf(zf_stmt_97, negated_conjecture, (( c3_1 @ a25 ) | ( ~( hskp28 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause48])).
% 1.36/1.41 thf(zip_derived_cl47, plain, (( (c3_1 @ a25) | ~ (hskp28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_97])).
% 1.36/1.41 thf('131', plain, (( (c3_1 @ a25)) | ~ ( (hskp28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl47])).
% 1.36/1.41 thf(clause198, conjecture,
% 1.36/1.41 (~( ( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) |
% 1.36/1.41 ( c3_1 @ U ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_98, negated_conjecture,
% 1.36/1.41 (( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) |
% 1.36/1.41 ( c3_1 @ U ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause198])).
% 1.36/1.41 thf(zip_derived_cl197, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | (c3_1 @ X2)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c0_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X2)
% 1.36/1.41 | ~ (c1_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_98])).
% 1.36/1.41 thf('132', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl197])).
% 1.36/1.41 thf(zip_derived_cl548, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(zip_derived_cl384, plain, ((~ (c0_1 @ a99)) <= (~ ( (c0_1 @ a99)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl86])).
% 1.36/1.41 thf(zip_derived_cl1521, plain,
% 1.36/1.41 (((~ (c2_1 @ a99) | ~ (c3_1 @ a99)))
% 1.36/1.41 <= (~ ( (c0_1 @ a99)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl384])).
% 1.36/1.41 thf('133', plain,
% 1.36/1.41 (~ ( (c3_1 @ a99)) | ( (c0_1 @ a99)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a99))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1521])).
% 1.36/1.41 thf('134', plain, (( (c1_1 @ a99)) | ~ ( (hskp26))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.36/1.41 thf(clause53, conjecture, (~( ( c2_1 @ a99 ) | ( ~( hskp26 ) ) ))).
% 1.36/1.41 thf(zf_stmt_99, negated_conjecture, (( c2_1 @ a99 ) | ( ~( hskp26 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause53])).
% 1.36/1.41 thf(zip_derived_cl52, plain, (( (c2_1 @ a99) | ~ (hskp26))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_99])).
% 1.36/1.41 thf('135', plain, (( (c2_1 @ a99)) | ~ ( (hskp26))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.36/1.41 thf('136', plain, (~ ( (c0_1 @ a99)) | ~ ( (hskp26))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl86])).
% 1.36/1.41 thf(clause32, conjecture, (~( ( hskp14 ) | ( hskp26 ) | ( hskp29 ) ))).
% 1.36/1.41 thf(zf_stmt_100, negated_conjecture, (( hskp14 ) | ( hskp26 ) | ( hskp29 )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause32])).
% 1.36/1.41 thf(zip_derived_cl31, plain, (( (hskp14) | (hskp26) | (hskp29))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_100])).
% 1.36/1.41 thf('137', plain, (( (hskp26)) | ( (hskp29)) | ( (hskp14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl31])).
% 1.36/1.41 thf(clause172, conjecture,
% 1.36/1.41 (~( ( hskp0 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 1.36/1.41 ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_101, negated_conjecture,
% 1.36/1.41 (( hskp0 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause172])).
% 1.36/1.41 thf(zip_derived_cl171, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp0)
% 1.36/1.41 | (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c0_1 @ X1)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_101])).
% 1.36/1.41 thf('138', plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp0)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl171])).
% 1.36/1.41 thf(zip_derived_cl484, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl134])).
% 1.36/1.41 thf(clause118, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c0_1 @ a14 ) ) ))).
% 1.36/1.41 thf(zf_stmt_102, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c0_1 @ a14 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause118])).
% 1.36/1.41 thf(zip_derived_cl117, plain, ((~ (hskp7) | ~ (c0_1 @ a14))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_102])).
% 1.36/1.41 thf(zip_derived_cl446, plain, ((~ (c0_1 @ a14)) <= (~ ( (c0_1 @ a14)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl117])).
% 1.36/1.41 thf(zip_derived_cl1189, plain,
% 1.36/1.41 ((( (c2_1 @ a14) | (c3_1 @ a14)))
% 1.36/1.41 <= (~ ( (c0_1 @ a14)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl446])).
% 1.36/1.41 thf('139', plain,
% 1.36/1.41 (( (c3_1 @ a14)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a14)) | ( (c0_1 @ a14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1189])).
% 1.36/1.41 thf('140', plain, (( (c1_1 @ a14)) | ~ ( (hskp7))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl77])).
% 1.36/1.41 thf('141', plain, (~ ( (c0_1 @ a14)) | ~ ( (hskp7))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl117])).
% 1.36/1.41 thf(clause119, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c2_1 @ a14 ) ) ))).
% 1.36/1.41 thf(zf_stmt_103, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c2_1 @ a14 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause119])).
% 1.36/1.41 thf(zip_derived_cl118, plain, ((~ (hskp7) | ~ (c2_1 @ a14))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_103])).
% 1.36/1.41 thf('142', plain, (~ ( (c2_1 @ a14)) | ~ ( (hskp7))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl118])).
% 1.36/1.41 thf(zip_derived_cl544, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(zip_derived_cl366, plain, (( (c1_1 @ a14)) <= (( (c1_1 @ a14)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl77])).
% 1.36/1.41 thf(zip_derived_cl1034, plain,
% 1.36/1.41 ((( (c0_1 @ a14) | ~ (c3_1 @ a14)))
% 1.36/1.41 <= (( (c1_1 @ a14)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl366])).
% 1.36/1.41 thf('143', plain,
% 1.36/1.41 (~ ( (c3_1 @ a14)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a14)) | ( (c0_1 @ a14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1034])).
% 1.36/1.41 thf('144', plain, (( (c1_1 @ a25)) | ~ ( (hskp28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl664, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(zip_derived_cl302, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl1280, plain,
% 1.36/1.41 (((~ (c2_1 @ a25) | (c3_1 @ a25)))
% 1.36/1.41 <= (( (c1_1 @ a25)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl302])).
% 1.36/1.41 thf('145', plain,
% 1.36/1.41 (( (c3_1 @ a25)) | ~ ( (c1_1 @ a25)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1280])).
% 1.36/1.41 thf(zip_derived_cl302, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl600, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(zip_derived_cl813, plain,
% 1.36/1.41 (((~ (c0_1 @ a25) | ~ (c2_1 @ a25)))
% 1.36/1.41 <= (( (c1_1 @ a25)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl600])).
% 1.36/1.41 thf('146', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a25)) | ~ ( (c2_1 @ a25)) | ~ ( (c1_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl813])).
% 1.36/1.41 thf(zip_derived_cl572, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.36/1.41 thf(zip_derived_cl302, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl1053, plain,
% 1.36/1.41 ((( (c2_1 @ a25) | ~ (c0_1 @ a25)))
% 1.36/1.41 <= (( (c1_1 @ a25)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl302])).
% 1.36/1.41 thf('147', plain,
% 1.36/1.41 (( (c2_1 @ a25)) | ~ ( (c0_1 @ a25)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1053])).
% 1.36/1.41 thf(zip_derived_cl484, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl134])).
% 1.36/1.41 thf(zip_derived_cl817, plain, ((~ (c0_1 @ a25)) <= (~ ( (c0_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl813])).
% 1.36/1.41 thf(zip_derived_cl1178, plain,
% 1.36/1.41 ((( (c2_1 @ a25) | (c3_1 @ a25)))
% 1.36/1.41 <= (~ ( (c0_1 @ a25)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl817])).
% 1.36/1.41 thf('148', plain,
% 1.36/1.41 (( (c2_1 @ a25)) | ( (c0_1 @ a25)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c3_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1178])).
% 1.36/1.41 thf(clause140, conjecture,
% 1.36/1.41 (~( ( hskp7 ) | ( hskp28 ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_104, negated_conjecture,
% 1.36/1.41 (( hskp7 ) | ( hskp28 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause140])).
% 1.36/1.41 thf(zip_derived_cl139, plain,
% 1.36/1.41 (![X0 : $i]:
% 1.36/1.41 ( (hskp7)
% 1.36/1.41 | (hskp28)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_104])).
% 1.36/1.41 thf('149', plain,
% 1.36/1.41 (( (hskp7)) | ( (hskp28)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl139])).
% 1.36/1.41 thf(zip_derived_cl664, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(zip_derived_cl314, plain, (( (c1_1 @ a99)) <= (( (c1_1 @ a99)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.36/1.41 thf(zip_derived_cl1282, plain,
% 1.36/1.41 (((~ (c2_1 @ a99) | (c3_1 @ a99)))
% 1.36/1.41 <= (( (c1_1 @ a99)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl314])).
% 1.36/1.41 thf('150', plain,
% 1.36/1.41 (( (c3_1 @ a99)) | ~ ( (c1_1 @ a99)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a99))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1282])).
% 1.36/1.41 thf(clause83, conjecture, (~( ( c1_1 @ a3 ) | ( ~( hskp2 ) ) ))).
% 1.36/1.41 thf(zf_stmt_105, negated_conjecture, (( c1_1 @ a3 ) | ( ~( hskp2 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause83])).
% 1.36/1.41 thf(zip_derived_cl82, plain, (( (c1_1 @ a3) | ~ (hskp2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_105])).
% 1.36/1.41 thf(zip_derived_cl376, plain, (( (c1_1 @ a3)) <= (( (c1_1 @ a3)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.36/1.41 thf(zip_derived_cl604, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.36/1.41 thf(zip_derived_cl984, plain,
% 1.36/1.41 (((~ (c3_1 @ a3) | ~ (c0_1 @ a3)))
% 1.36/1.41 <= (( (c1_1 @ a3)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl604])).
% 1.36/1.41 thf('151', plain,
% 1.36/1.41 (~ ( (c0_1 @ a3)) | ~ ( (c3_1 @ a3)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a3))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl984])).
% 1.36/1.41 thf(zip_derived_cl544, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(zip_derived_cl376, plain, (( (c1_1 @ a3)) <= (( (c1_1 @ a3)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.36/1.41 thf(zip_derived_cl1035, plain,
% 1.36/1.41 ((( (c0_1 @ a3) | ~ (c3_1 @ a3)))
% 1.36/1.41 <= (( (c1_1 @ a3)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl376])).
% 1.36/1.41 thf('152', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a3)) | ~ ( (c3_1 @ a3)) | ~ ( (c1_1 @ a3))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1035])).
% 1.36/1.41 thf('153', plain,
% 1.36/1.41 (( (hskp16)) | ( (hskp27)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.36/1.41 thf(clause68, conjecture, (~( ( c3_1 @ a27 ) | ( ~( hskp16 ) ) ))).
% 1.36/1.41 thf(zf_stmt_106, negated_conjecture, (( c3_1 @ a27 ) | ( ~( hskp16 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause68])).
% 1.36/1.41 thf(zip_derived_cl67, plain, (( (c3_1 @ a27) | ~ (hskp16))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_106])).
% 1.36/1.41 thf('154', plain, (( (c3_1 @ a27)) | ~ ( (hskp16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl67])).
% 1.36/1.41 thf(clause67, conjecture, (~( ( c0_1 @ a27 ) | ( ~( hskp16 ) ) ))).
% 1.36/1.41 thf(zf_stmt_107, negated_conjecture, (( c0_1 @ a27 ) | ( ~( hskp16 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause67])).
% 1.36/1.41 thf(zip_derived_cl66, plain, (( (c0_1 @ a27) | ~ (hskp16))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_107])).
% 1.36/1.41 thf('155', plain, (( (c0_1 @ a27)) | ~ ( (hskp16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl66])).
% 1.36/1.41 thf(clause102, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c1_1 @ a27 ) ) ))).
% 1.36/1.41 thf(zf_stmt_108, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c1_1 @ a27 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause102])).
% 1.36/1.41 thf(zip_derived_cl101, plain, ((~ (hskp16) | ~ (c1_1 @ a27))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_108])).
% 1.36/1.41 thf('156', plain, (~ ( (c1_1 @ a27)) | ~ ( (hskp16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl101])).
% 1.36/1.41 thf(zip_derived_cl560, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl153])).
% 1.36/1.41 thf(zip_derived_cl414, plain, ((~ (c1_1 @ a27)) <= (~ ( (c1_1 @ a27)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl101])).
% 1.36/1.41 thf(zip_derived_cl1612, plain,
% 1.36/1.41 (((~ (c0_1 @ a27) | ~ (c3_1 @ a27)))
% 1.36/1.41 <= (~ ( (c1_1 @ a27)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl414])).
% 1.36/1.41 thf('157', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a27)) | ( (c1_1 @ a27)) | ~ ( (c3_1 @ a27))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1612])).
% 1.36/1.41 thf('158', plain,
% 1.36/1.41 (( (hskp20)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl185])).
% 1.36/1.41 thf(zip_derived_cl1585, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('simplify', [status(thm)], [zip_derived_cl1578])).
% 1.36/1.41 thf(clause71, conjecture, (~( ( c0_1 @ a21 ) | ( ~( hskp13 ) ) ))).
% 1.36/1.41 thf(zf_stmt_109, negated_conjecture, (( c0_1 @ a21 ) | ( ~( hskp13 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause71])).
% 1.36/1.41 thf(zip_derived_cl70, plain, (( (c0_1 @ a21) | ~ (hskp13))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_109])).
% 1.36/1.41 thf(zip_derived_cl352, plain, (( (c0_1 @ a21)) <= (( (c0_1 @ a21)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl70])).
% 1.36/1.41 thf(zip_derived_cl2392, plain,
% 1.36/1.41 ((~ (c2_1 @ a21))
% 1.36/1.41 <= (( (c0_1 @ a21)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)],
% 1.36/1.41 [zip_derived_cl1585, zip_derived_cl352])).
% 1.36/1.41 thf(clause72, conjecture, (~( ( c2_1 @ a21 ) | ( ~( hskp13 ) ) ))).
% 1.36/1.41 thf(zf_stmt_110, negated_conjecture, (( c2_1 @ a21 ) | ( ~( hskp13 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause72])).
% 1.36/1.41 thf(zip_derived_cl71, plain, (( (c2_1 @ a21) | ~ (hskp13))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_110])).
% 1.36/1.41 thf(zip_derived_cl354, plain, (( (c2_1 @ a21)) <= (( (c2_1 @ a21)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.36/1.41 thf('159', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a21)) | ~ ( (c2_1 @ a21)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))),
% 1.36/1.41 inference('s_sup+', [status(thm)],
% 1.36/1.41 [zip_derived_cl2392, zip_derived_cl354])).
% 1.36/1.41 thf(clause18, conjecture, (~( ( ndr1_0 ) | ( ~( hskp13 ) ) ))).
% 1.36/1.41 thf(zf_stmt_111, negated_conjecture, (( ndr1_0 ) | ( ~( hskp13 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause18])).
% 1.36/1.41 thf(zip_derived_cl17, plain, (( (ndr1_0) | ~ (hskp13))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_111])).
% 1.36/1.41 thf('160', plain, (( (ndr1_0)) | ~ ( (hskp13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.36/1.41 thf('161', plain, (( (c1_1 @ a3)) | ~ ( (hskp2))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.36/1.41 thf(clause84, conjecture, (~( ( c3_1 @ a3 ) | ( ~( hskp2 ) ) ))).
% 1.36/1.41 thf(zf_stmt_112, negated_conjecture, (( c3_1 @ a3 ) | ( ~( hskp2 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause84])).
% 1.36/1.41 thf(zip_derived_cl83, plain, (( (c3_1 @ a3) | ~ (hskp2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_112])).
% 1.36/1.41 thf('162', plain, (( (c3_1 @ a3)) | ~ ( (hskp2))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl83])).
% 1.36/1.41 thf(clause128, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c2_1 @ a3 ) ) ))).
% 1.36/1.41 thf(zf_stmt_113, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c2_1 @ a3 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause128])).
% 1.36/1.41 thf(zip_derived_cl127, plain, ((~ (hskp2) | ~ (c2_1 @ a3))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_113])).
% 1.36/1.41 thf('163', plain, (~ ( (c2_1 @ a3)) | ~ ( (hskp2))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl127])).
% 1.36/1.41 thf(clause35, conjecture, (~( ( hskp17 ) | ( hskp2 ) | ( hskp9 ) ))).
% 1.36/1.41 thf(zf_stmt_114, negated_conjecture, (( hskp17 ) | ( hskp2 ) | ( hskp9 )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause35])).
% 1.36/1.41 thf(zip_derived_cl34, plain, (( (hskp17) | (hskp2) | (hskp9))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_114])).
% 1.36/1.41 thf('164', plain, (( (hskp9)) | ( (hskp17)) | ( (hskp2))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl34])).
% 1.36/1.41 thf(clause66, conjecture, (~( ( c3_1 @ a28 ) | ( ~( hskp17 ) ) ))).
% 1.36/1.41 thf(zf_stmt_115, negated_conjecture, (( c3_1 @ a28 ) | ( ~( hskp17 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause66])).
% 1.36/1.41 thf(zip_derived_cl65, plain, (( (c3_1 @ a28) | ~ (hskp17))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_115])).
% 1.36/1.41 thf('165', plain, (( (c3_1 @ a28)) | ~ ( (hskp17))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl65])).
% 1.36/1.41 thf(clause100, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c0_1 @ a28 ) ) ))).
% 1.36/1.41 thf(zf_stmt_116, negated_conjecture, (( ~( hskp17 ) ) | ( ~( c0_1 @ a28 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause100])).
% 1.36/1.41 thf(zip_derived_cl99, plain, ((~ (hskp17) | ~ (c0_1 @ a28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_116])).
% 1.36/1.41 thf('166', plain, (~ ( (c0_1 @ a28)) | ~ ( (hskp17))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl99])).
% 1.36/1.41 thf(clause101, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c2_1 @ a28 ) ) ))).
% 1.36/1.41 thf(zf_stmt_117, negated_conjecture, (( ~( hskp17 ) ) | ( ~( c2_1 @ a28 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause101])).
% 1.36/1.41 thf(zip_derived_cl100, plain, ((~ (hskp17) | ~ (c2_1 @ a28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_117])).
% 1.36/1.41 thf('167', plain, (~ ( (c2_1 @ a28)) | ~ ( (hskp17))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl100])).
% 1.36/1.41 thf(zip_derived_cl496, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.36/1.41 thf(zip_derived_cl410, plain, ((~ (c0_1 @ a28)) <= (~ ( (c0_1 @ a28)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl99])).
% 1.36/1.41 thf(zip_derived_cl1408, plain,
% 1.36/1.41 ((( (c2_1 @ a28) | ~ (c3_1 @ a28)))
% 1.36/1.41 <= (~ ( (c0_1 @ a28)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl496, zip_derived_cl410])).
% 1.36/1.41 thf('168', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a28)) | ( (c2_1 @ a28)) | ~ ( (c3_1 @ a28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1408])).
% 1.36/1.41 thf('169', plain,
% 1.36/1.41 (( (hskp13)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp14)) | ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.36/1.41 thf(clause69, conjecture, (~( ( c2_1 @ a22 ) | ( ~( hskp14 ) ) ))).
% 1.36/1.41 thf(zf_stmt_118, negated_conjecture, (( c2_1 @ a22 ) | ( ~( hskp14 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause69])).
% 1.36/1.41 thf(zip_derived_cl68, plain, (( (c2_1 @ a22) | ~ (hskp14))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_118])).
% 1.36/1.41 thf('170', plain, (( (c2_1 @ a22)) | ~ ( (hskp14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl68])).
% 1.36/1.41 thf(clause70, conjecture, (~( ( c3_1 @ a22 ) | ( ~( hskp14 ) ) ))).
% 1.36/1.41 thf(zf_stmt_119, negated_conjecture, (( c3_1 @ a22 ) | ( ~( hskp14 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause70])).
% 1.36/1.41 thf(zip_derived_cl69, plain, (( (c3_1 @ a22) | ~ (hskp14))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_119])).
% 1.36/1.41 thf('171', plain, (( (c3_1 @ a22)) | ~ ( (hskp14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl69])).
% 1.36/1.41 thf(clause106, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c0_1 @ a22 ) ) ))).
% 1.36/1.41 thf(zf_stmt_120, negated_conjecture, (( ~( hskp14 ) ) | ( ~( c0_1 @ a22 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause106])).
% 1.36/1.41 thf(zip_derived_cl105, plain, ((~ (hskp14) | ~ (c0_1 @ a22))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_120])).
% 1.36/1.41 thf('172', plain, (~ ( (c0_1 @ a22)) | ~ ( (hskp14))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl105])).
% 1.36/1.41 thf(zip_derived_cl548, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl150])).
% 1.36/1.41 thf(zip_derived_cl422, plain, ((~ (c0_1 @ a22)) <= (~ ( (c0_1 @ a22)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl105])).
% 1.36/1.41 thf(zip_derived_cl1527, plain,
% 1.36/1.41 (((~ (c2_1 @ a22) | ~ (c3_1 @ a22)))
% 1.36/1.41 <= (~ ( (c0_1 @ a22)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl422])).
% 1.36/1.41 thf('173', plain,
% 1.36/1.41 (~ ( (c2_1 @ a22)) | ( (c0_1 @ a22)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a22))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1527])).
% 1.36/1.41 thf(clause185, conjecture,
% 1.36/1.41 (~( ( hskp20 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_121, negated_conjecture,
% 1.36/1.41 (( hskp20 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause185])).
% 1.36/1.41 thf(zip_derived_cl184, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp20)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_121])).
% 1.36/1.41 thf('174', plain,
% 1.36/1.41 (( (hskp20)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl184])).
% 1.36/1.41 thf(zip_derived_cl664, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl179])).
% 1.36/1.41 thf(zip_derived_cl380, plain, (( (c1_1 @ a1)) <= (( (c1_1 @ a1)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.36/1.41 thf(zip_derived_cl1289, plain,
% 1.36/1.41 (((~ (c2_1 @ a1) | (c3_1 @ a1)))
% 1.36/1.41 <= (( (c1_1 @ a1)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl380])).
% 1.36/1.41 thf('175', plain,
% 1.36/1.41 (~ ( (c1_1 @ a1)) | ( (c3_1 @ a1)) |
% 1.36/1.41 ~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1289])).
% 1.36/1.41 thf('176', plain, (( (c1_1 @ a1)) | ~ ( (hskp0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.36/1.41 thf(clause86, conjecture, (~( ( c2_1 @ a1 ) | ( ~( hskp0 ) ) ))).
% 1.36/1.41 thf(zf_stmt_122, negated_conjecture, (( c2_1 @ a1 ) | ( ~( hskp0 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause86])).
% 1.36/1.41 thf(zip_derived_cl85, plain, (( (c2_1 @ a1) | ~ (hskp0))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_122])).
% 1.36/1.41 thf('177', plain, (( (c2_1 @ a1)) | ~ ( (hskp0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl85])).
% 1.36/1.41 thf(clause132, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c3_1 @ a1 ) ) ))).
% 1.36/1.41 thf(zf_stmt_123, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c3_1 @ a1 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause132])).
% 1.36/1.41 thf(zip_derived_cl131, plain, ((~ (hskp0) | ~ (c3_1 @ a1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_123])).
% 1.36/1.41 thf('178', plain, (~ ( (c3_1 @ a1)) | ~ ( (hskp0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl131])).
% 1.36/1.41 thf('179', plain,
% 1.36/1.41 (( (hskp3)) |
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp0)) | ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl136])).
% 1.36/1.41 thf(clause81, conjecture, (~( ( c0_1 @ a7 ) | ( ~( hskp3 ) ) ))).
% 1.36/1.41 thf(zf_stmt_124, negated_conjecture, (( c0_1 @ a7 ) | ( ~( hskp3 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause81])).
% 1.36/1.41 thf(zip_derived_cl80, plain, (( (c0_1 @ a7) | ~ (hskp3))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_124])).
% 1.36/1.41 thf('180', plain, (( (c0_1 @ a7)) | ~ ( (hskp3))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl80])).
% 1.36/1.41 thf(clause82, conjecture, (~( ( c3_1 @ a7 ) | ( ~( hskp3 ) ) ))).
% 1.36/1.41 thf(zf_stmt_125, negated_conjecture, (( c3_1 @ a7 ) | ( ~( hskp3 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause82])).
% 1.36/1.41 thf(zip_derived_cl81, plain, (( (c3_1 @ a7) | ~ (hskp3))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_125])).
% 1.36/1.41 thf('181', plain, (( (c3_1 @ a7)) | ~ ( (hskp3))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl81])).
% 1.36/1.41 thf(clause127, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c2_1 @ a7 ) ) ))).
% 1.36/1.41 thf(zf_stmt_126, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c2_1 @ a7 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause127])).
% 1.36/1.41 thf(zip_derived_cl126, plain, ((~ (hskp3) | ~ (c2_1 @ a7))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_126])).
% 1.36/1.41 thf('182', plain, (~ ( (c2_1 @ a7)) | ~ ( (hskp3))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl126])).
% 1.36/1.41 thf(zip_derived_cl588, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl160])).
% 1.36/1.41 thf(zip_derived_cl372, plain, (( (c0_1 @ a7)) <= (( (c0_1 @ a7)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl80])).
% 1.36/1.41 thf(zip_derived_cl1098, plain,
% 1.36/1.41 ((( (c2_1 @ a7) | ~ (c3_1 @ a7)))
% 1.36/1.41 <= (( (c0_1 @ a7)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl588, zip_derived_cl372])).
% 1.36/1.41 thf('183', plain,
% 1.36/1.41 (~ ( (c3_1 @ a7)) | ( (c2_1 @ a7)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a7))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1098])).
% 1.36/1.41 thf('184', plain,
% 1.36/1.41 (( (hskp9)) | ( (hskp29)) | ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl160])).
% 1.36/1.41 thf(zip_derived_cl492, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl136])).
% 1.36/1.41 thf(zip_derived_cl392, plain, ((~ (c1_1 @ a58)) <= (~ ( (c1_1 @ a58)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl90])).
% 1.36/1.41 thf(zip_derived_cl1327, plain,
% 1.36/1.41 (((~ (c2_1 @ a58) | (c0_1 @ a58)))
% 1.36/1.41 <= (~ ( (c1_1 @ a58)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl492, zip_derived_cl392])).
% 1.36/1.41 thf('185', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c1_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a58)) | ( (c0_1 @ a58)) | ( (c1_1 @ a58))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1327])).
% 1.36/1.41 thf(clause7, conjecture, (~( ( ndr1_0 ) | ( ~( hskp24 ) ) ))).
% 1.36/1.41 thf(zf_stmt_127, negated_conjecture, (( ndr1_0 ) | ( ~( hskp24 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause7])).
% 1.36/1.41 thf(zip_derived_cl6, plain, (( (ndr1_0) | ~ (hskp24))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_127])).
% 1.36/1.41 thf('186', plain, (( (ndr1_0)) | ~ ( (hskp24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.36/1.41 thf(clause55, conjecture, (~( ( c2_1 @ a58 ) | ( ~( hskp24 ) ) ))).
% 1.36/1.41 thf(zf_stmt_128, negated_conjecture, (( c2_1 @ a58 ) | ( ~( hskp24 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause55])).
% 1.36/1.41 thf(zip_derived_cl54, plain, (( (c2_1 @ a58) | ~ (hskp24))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_128])).
% 1.36/1.41 thf('187', plain, (( (c2_1 @ a58)) | ~ ( (hskp24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl54])).
% 1.36/1.41 thf('188', plain, (~ ( (c0_1 @ a58)) | ~ ( (hskp24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.36/1.41 thf('189', plain, (~ ( (c1_1 @ a58)) | ~ ( (hskp24))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl90])).
% 1.36/1.41 thf(clause34, conjecture, (~( ( hskp24 ) | ( hskp13 ) | ( hskp21 ) ))).
% 1.36/1.41 thf(zf_stmt_129, negated_conjecture, (( hskp24 ) | ( hskp13 ) | ( hskp21 )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause34])).
% 1.36/1.41 thf(zip_derived_cl33, plain, (( (hskp24) | (hskp13) | (hskp21))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_129])).
% 1.36/1.41 thf('190', plain, (( (hskp24)) | ( (hskp13)) | ( (hskp21))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl33])).
% 1.36/1.41 thf(zip_derived_cl592, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl161])).
% 1.36/1.41 thf(zip_derived_cl376, plain, (( (c1_1 @ a3)) <= (( (c1_1 @ a3)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.36/1.41 thf(zip_derived_cl1121, plain,
% 1.36/1.41 ((( (c2_1 @ a3) | ~ (c3_1 @ a3)))
% 1.36/1.41 <= (( (c1_1 @ a3)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl376])).
% 1.36/1.41 thf('191', plain,
% 1.36/1.41 (~ ( (c3_1 @ a3)) | ( (c2_1 @ a3)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a3))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1121])).
% 1.36/1.41 thf(zip_derived_cl302, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl604, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.36/1.41 thf(zip_derived_cl814, plain,
% 1.36/1.41 (((~ (c3_1 @ a25) | ~ (c0_1 @ a25)))
% 1.36/1.41 <= (( (c1_1 @ a25)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl604])).
% 1.36/1.41 thf('192', plain,
% 1.36/1.41 (~ ( (c0_1 @ a25)) | ~ ( (c3_1 @ a25)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl814])).
% 1.36/1.41 thf(zip_derived_cl544, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(zip_derived_cl302, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.36/1.41 thf(zip_derived_cl1027, plain,
% 1.36/1.41 ((( (c0_1 @ a25) | ~ (c3_1 @ a25)))
% 1.36/1.41 <= (( (c1_1 @ a25)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl302])).
% 1.36/1.41 thf('193', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ( (c0_1 @ a25)) | ~ ( (c3_1 @ a25)) | ~ ( (c1_1 @ a25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1027])).
% 1.36/1.41 thf('194', plain, (( (c1_1 @ a37)) | ~ ( (hskp20))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl60])).
% 1.36/1.41 thf(clause62, conjecture, (~( ( c3_1 @ a37 ) | ( ~( hskp20 ) ) ))).
% 1.36/1.41 thf(zf_stmt_130, negated_conjecture, (( c3_1 @ a37 ) | ( ~( hskp20 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause62])).
% 1.36/1.41 thf(zip_derived_cl61, plain, (( (c3_1 @ a37) | ~ (hskp20))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_130])).
% 1.36/1.41 thf('195', plain, (( (c3_1 @ a37)) | ~ ( (hskp20))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl61])).
% 1.36/1.41 thf('196', plain, (~ ( (c0_1 @ a37)) | ~ ( (hskp20))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.36/1.41 thf(zip_derived_cl544, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl149])).
% 1.36/1.41 thf(zip_derived_cl332, plain, (( (c1_1 @ a37)) <= (( (c1_1 @ a37)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl60])).
% 1.36/1.41 thf(zip_derived_cl1031, plain,
% 1.36/1.41 ((( (c0_1 @ a37) | ~ (c3_1 @ a37)))
% 1.36/1.41 <= (( (c1_1 @ a37)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl332])).
% 1.36/1.41 thf('197', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c3_1 @ a37)) | ( (c0_1 @ a37)) | ~ ( (c1_1 @ a37))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1031])).
% 1.36/1.41 thf('198', plain, (( (c0_1 @ a21)) | ~ ( (hskp13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl70])).
% 1.36/1.41 thf('199', plain, (( (c2_1 @ a21)) | ~ ( (hskp13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.36/1.41 thf(clause107, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c3_1 @ a21 ) ) ))).
% 1.36/1.41 thf(zf_stmt_131, negated_conjecture, (( ~( hskp13 ) ) | ( ~( c3_1 @ a21 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause107])).
% 1.36/1.41 thf(zip_derived_cl106, plain, ((~ (hskp13) | ~ (c3_1 @ a21))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_131])).
% 1.36/1.41 thf('200', plain, (~ ( (c3_1 @ a21)) | ~ ( (hskp13))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl106])).
% 1.36/1.41 thf(zip_derived_cl688, plain,
% 1.36/1.41 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl185])).
% 1.36/1.41 thf(zip_derived_cl352, plain, (( (c0_1 @ a21)) <= (( (c0_1 @ a21)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl70])).
% 1.36/1.41 thf(zip_derived_cl1367, plain,
% 1.36/1.41 (((~ (c2_1 @ a21) | (c3_1 @ a21)))
% 1.36/1.41 <= (( (c0_1 @ a21)) &
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl688, zip_derived_cl352])).
% 1.36/1.41 thf('201', plain,
% 1.36/1.41 (~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.36/1.41 ~ ( (c2_1 @ a21)) | ( (c3_1 @ a21)) | ~ ( (c0_1 @ a21))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1367])).
% 1.36/1.41 thf('202', plain, (( (c0_1 @ a35)) | ~ ( (hskp29))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.36/1.41 thf('203', plain, (( (c1_1 @ a35)) | ~ ( (hskp29))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.36/1.41 thf(clause45, conjecture, (~( ( c2_1 @ a35 ) | ( ~( hskp29 ) ) ))).
% 1.36/1.41 thf(zf_stmt_132, negated_conjecture, (( c2_1 @ a35 ) | ( ~( hskp29 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause45])).
% 1.36/1.41 thf(zip_derived_cl44, plain, (( (c2_1 @ a35) | ~ (hskp29))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_132])).
% 1.36/1.41 thf('204', plain, (( (c2_1 @ a35)) | ~ ( (hskp29))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl44])).
% 1.36/1.41 thf(zip_derived_cl298, plain, (( (c1_1 @ a35)) <= (( (c1_1 @ a35)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.36/1.41 thf(zip_derived_cl600, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.36/1.41 thf(zip_derived_cl795, plain,
% 1.36/1.41 (((~ (c0_1 @ a35) | ~ (c2_1 @ a35)))
% 1.36/1.41 <= (( (c1_1 @ a35)) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl600])).
% 1.36/1.41 thf('205', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a35)) | ~ ( (c2_1 @ a35)) | ~ ( (c1_1 @ a35))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl795])).
% 1.36/1.41 thf(zip_derived_cl1585, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('simplify', [status(thm)], [zip_derived_cl1578])).
% 1.36/1.41 thf(zip_derived_cl308, plain, (( (c0_1 @ a12)) <= (( (c0_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl48])).
% 1.36/1.41 thf(zip_derived_cl2387, plain,
% 1.36/1.41 ((~ (c2_1 @ a12))
% 1.36/1.41 <= (( (c0_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) &
% 1.36/1.41 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)],
% 1.36/1.41 [zip_derived_cl1585, zip_derived_cl308])).
% 1.36/1.41 thf(zip_derived_cl1475, plain, (( (c2_1 @ a12)) <= (( (c2_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1054])).
% 1.36/1.41 thf('206', plain,
% 1.36/1.41 (~ ( (c2_1 @ a12)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a12)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))),
% 1.36/1.41 inference('s_sup+', [status(thm)],
% 1.36/1.41 [zip_derived_cl2387, zip_derived_cl1475])).
% 1.36/1.41 thf(clause74, conjecture, (~( ( c2_1 @ a19 ) | ( ~( hskp11 ) ) ))).
% 1.36/1.41 thf(zf_stmt_133, negated_conjecture, (( c2_1 @ a19 ) | ( ~( hskp11 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause74])).
% 1.36/1.41 thf(zip_derived_cl73, plain, (( (c2_1 @ a19) | ~ (hskp11))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_133])).
% 1.36/1.41 thf('207', plain, (( (c2_1 @ a19)) | ~ ( (hskp11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl73])).
% 1.36/1.41 thf(clause110, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c0_1 @ a19 ) ) ))).
% 1.36/1.41 thf(zf_stmt_134, negated_conjecture, (( ~( hskp11 ) ) | ( ~( c0_1 @ a19 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause110])).
% 1.36/1.41 thf(zip_derived_cl109, plain, ((~ (hskp11) | ~ (c0_1 @ a19))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_134])).
% 1.36/1.41 thf('208', plain, (~ ( (c0_1 @ a19)) | ~ ( (hskp11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl109])).
% 1.36/1.41 thf(clause111, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c3_1 @ a19 ) ) ))).
% 1.36/1.41 thf(zf_stmt_135, negated_conjecture, (( ~( hskp11 ) ) | ( ~( c3_1 @ a19 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause111])).
% 1.36/1.41 thf(zip_derived_cl110, plain, ((~ (hskp11) | ~ (c3_1 @ a19))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_135])).
% 1.36/1.41 thf('209', plain, (~ ( (c3_1 @ a19)) | ~ ( (hskp11))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl110])).
% 1.36/1.41 thf(zip_derived_cl512, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl141])).
% 1.36/1.41 thf(zip_derived_cl430, plain, ((~ (c0_1 @ a19)) <= (~ ( (c0_1 @ a19)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl109])).
% 1.36/1.41 thf(zip_derived_cl1663, plain,
% 1.36/1.41 (((~ (c2_1 @ a19) | (c3_1 @ a19)))
% 1.36/1.41 <= (~ ( (c0_1 @ a19)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl430])).
% 1.36/1.41 thf('210', plain,
% 1.36/1.41 (( (c0_1 @ a19)) | ( (c3_1 @ a19)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c2_1 @ a19))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1663])).
% 1.36/1.41 thf(clause192, conjecture,
% 1.36/1.41 (~( ( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 1.36/1.41 ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_136, negated_conjecture,
% 1.36/1.41 (( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 1.36/1.41 ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.36/1.41 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause192])).
% 1.36/1.41 thf(zip_derived_cl191, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c3_1 @ X0)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | (c1_1 @ X2)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X2)
% 1.36/1.41 | ~ (c2_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_136])).
% 1.36/1.41 thf('211', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 (![X1 : $i]: (~ (c3_1 @ X1) | (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | (c2_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl191])).
% 1.36/1.41 thf(clause193, conjecture,
% 1.36/1.41 (~( ( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ W ) | ( c2_1 @ W ) |
% 1.36/1.41 ( c1_1 @ W ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_137, negated_conjecture,
% 1.36/1.41 (( c3_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ W ) | ( c2_1 @ W ) |
% 1.36/1.41 ( c1_1 @ W ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause193])).
% 1.36/1.41 thf(zip_derived_cl192, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.41 ( (c3_1 @ X0)
% 1.36/1.41 | (c0_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | (c2_1 @ X1)
% 1.36/1.41 | (c1_1 @ X1)
% 1.36/1.41 | (c3_1 @ X2)
% 1.36/1.41 | (c1_1 @ X2)
% 1.36/1.41 | ~ (c2_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c0_1 @ X2))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_137])).
% 1.36/1.41 thf('212', plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0)) |
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl192])).
% 1.36/1.41 thf(clause3, conjecture, (~( ( ndr1_0 ) | ( ~( hskp28 ) ) ))).
% 1.36/1.41 thf(zf_stmt_138, negated_conjecture, (( ndr1_0 ) | ( ~( hskp28 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause3])).
% 1.36/1.41 thf(zip_derived_cl2, plain, (( (ndr1_0) | ~ (hskp28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_138])).
% 1.36/1.41 thf('213', plain, (( (ndr1_0)) | ~ ( (hskp28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.36/1.41 thf(clause11, conjecture, (~( ( ndr1_0 ) | ( ~( hskp20 ) ) ))).
% 1.36/1.41 thf(zf_stmt_139, negated_conjecture, (( ndr1_0 ) | ( ~( hskp20 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause11])).
% 1.36/1.41 thf(zip_derived_cl10, plain, (( (ndr1_0) | ~ (hskp20))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_139])).
% 1.36/1.41 thf('214', plain, (( (ndr1_0)) | ~ ( (hskp20))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.36/1.41 thf(clause30, conjecture, (~( ( ndr1_0 ) | ( ~( hskp1 ) ) ))).
% 1.36/1.41 thf(zf_stmt_140, negated_conjecture, (( ndr1_0 ) | ( ~( hskp1 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause30])).
% 1.36/1.41 thf(zip_derived_cl29, plain, (( (ndr1_0) | ~ (hskp1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_140])).
% 1.36/1.41 thf('215', plain, (( (ndr1_0)) | ~ ( (hskp1))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl29])).
% 1.36/1.41 thf(clause39, conjecture, (~( ( hskp1 ) | ( hskp20 ) | ( hskp28 ) ))).
% 1.36/1.41 thf(zf_stmt_141, negated_conjecture, (( hskp1 ) | ( hskp20 ) | ( hskp28 )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause39])).
% 1.36/1.41 thf(zip_derived_cl38, plain, (( (hskp1) | (hskp20) | (hskp28))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_141])).
% 1.36/1.41 thf('216', plain, (( (hskp20)) | ( (hskp1)) | ( (hskp28))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.36/1.41 thf(zip_derived_cl652, plain,
% 1.36/1.41 ((![X1 : $i]: (~ (c3_1 @ X1) | (c1_1 @ X1) | ~ (c2_1 @ X1)))
% 1.36/1.41 <= ((![X1 : $i]: (~ (c3_1 @ X1) | (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl176])).
% 1.36/1.41 thf(zip_derived_cl404, plain, ((~ (c1_1 @ a36)) <= (~ ( (c1_1 @ a36)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl96])).
% 1.36/1.41 thf(zip_derived_cl1731, plain,
% 1.36/1.41 (((~ (c2_1 @ a36) | ~ (c3_1 @ a36)))
% 1.36/1.41 <= (~ ( (c1_1 @ a36)) &
% 1.36/1.41 (![X1 : $i]: (~ (c3_1 @ X1) | (c1_1 @ X1) | ~ (c2_1 @ X1))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl652, zip_derived_cl404])).
% 1.36/1.41 thf('217', plain,
% 1.36/1.41 (~ (![X1 : $i]: (~ (c3_1 @ X1) | (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (c3_1 @ a36)) | ( (c1_1 @ a36)) | ~ ( (c2_1 @ a36))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1731])).
% 1.36/1.41 thf(zip_derived_cl552, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl151])).
% 1.36/1.41 thf(zip_derived_cl386, plain, ((~ (c1_1 @ a70)) <= (~ ( (c1_1 @ a70)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.36/1.41 thf(zip_derived_cl1563, plain,
% 1.36/1.41 (((~ (c2_1 @ a70) | ~ (c0_1 @ a70)))
% 1.36/1.41 <= (~ ( (c1_1 @ a70)) &
% 1.36/1.41 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl552, zip_derived_cl386])).
% 1.36/1.41 thf('218', plain,
% 1.36/1.41 (~ ( (c2_1 @ a70)) | ~ ( (c0_1 @ a70)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a70))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1563])).
% 1.36/1.41 thf(zip_derived_cl669, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl180])).
% 1.36/1.41 thf(zip_derived_cl386, plain, ((~ (c1_1 @ a70)) <= (~ ( (c1_1 @ a70)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.36/1.41 thf(zip_derived_cl2166, plain,
% 1.36/1.41 (((~ (c0_1 @ a70) | (c3_1 @ a70)))
% 1.36/1.41 <= (~ ( (c1_1 @ a70)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl669, zip_derived_cl386])).
% 1.36/1.41 thf('219', plain,
% 1.36/1.41 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (c0_1 @ a70)) | ( (c1_1 @ a70)) | ( (c3_1 @ a70))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl2166])).
% 1.36/1.41 thf('220', plain, (( (c0_1 @ a70)) | ~ ( (hskp25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl53])).
% 1.36/1.41 thf('221', plain, (~ ( (c1_1 @ a70)) | ~ ( (hskp25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.36/1.41 thf(clause89, conjecture, (~( ( ~( hskp25 ) ) | ( ~( c3_1 @ a70 ) ) ))).
% 1.36/1.41 thf(zf_stmt_142, negated_conjecture, (( ~( hskp25 ) ) | ( ~( c3_1 @ a70 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause89])).
% 1.36/1.41 thf(zip_derived_cl88, plain, ((~ (hskp25) | ~ (c3_1 @ a70))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_142])).
% 1.36/1.41 thf('222', plain, (~ ( (c3_1 @ a70)) | ~ ( (hskp25))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl88])).
% 1.36/1.41 thf(zip_derived_cl488, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl135])).
% 1.36/1.41 thf(zip_derived_cl386, plain, ((~ (c1_1 @ a70)) <= (~ ( (c1_1 @ a70)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.36/1.41 thf(zip_derived_cl1249, plain,
% 1.36/1.41 ((( (c2_1 @ a70) | (c3_1 @ a70)))
% 1.36/1.41 <= (~ ( (c1_1 @ a70)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl488, zip_derived_cl386])).
% 1.36/1.41 thf('223', plain,
% 1.36/1.41 (( (c2_1 @ a70)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c1_1 @ a70)) | ( (c3_1 @ a70))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1249])).
% 1.36/1.41 thf(clause195, conjecture,
% 1.36/1.41 (~( ( hskp25 ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 1.36/1.41 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.36/1.41 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_143, negated_conjecture,
% 1.36/1.41 (( hskp25 ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.36/1.41 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause195])).
% 1.36/1.41 thf(zip_derived_cl194, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp25)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (c0_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c3_1 @ X1)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_143])).
% 1.36/1.41 thf('224', plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ( (hskp25)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl194])).
% 1.36/1.41 thf(zip_derived_cl310, plain, (( (c1_1 @ a12)) <= (( (c1_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.36/1.41 thf(zip_derived_cl620, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl168])).
% 1.36/1.41 thf(zip_derived_cl843, plain,
% 1.36/1.41 (((~ (c3_1 @ a12) | ~ (c2_1 @ a12)))
% 1.36/1.41 <= (( (c1_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl620])).
% 1.36/1.41 thf('225', plain,
% 1.36/1.41 (~ ( (c2_1 @ a12)) |
% 1.36/1.41 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 1.36/1.41 ~ ( (c1_1 @ a12)) | ~ ( (c3_1 @ a12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl843])).
% 1.36/1.41 thf(zip_derived_cl592, plain,
% 1.36/1.41 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl161])).
% 1.36/1.41 thf(zip_derived_cl310, plain, (( (c1_1 @ a12)) <= (( (c1_1 @ a12)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.36/1.41 thf(zip_derived_cl1114, plain,
% 1.36/1.41 ((( (c2_1 @ a12) | ~ (c3_1 @ a12)))
% 1.36/1.41 <= (( (c1_1 @ a12)) &
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl310])).
% 1.36/1.41 thf('226', plain,
% 1.36/1.41 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 ( (c2_1 @ a12)) | ~ ( (c3_1 @ a12)) | ~ ( (c1_1 @ a12))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1114])).
% 1.36/1.41 thf(clause187, conjecture,
% 1.36/1.41 (~( ( hskp9 ) | ( c2_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) ) ))).
% 1.36/1.41 thf(zf_stmt_144, negated_conjecture,
% 1.36/1.41 (( hskp9 ) | ( c2_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.36/1.41 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.36/1.41 ( ~( c1_1 @ U ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause187])).
% 1.36/1.41 thf(zip_derived_cl186, plain,
% 1.36/1.41 (![X0 : $i, X1 : $i]:
% 1.36/1.41 ( (hskp9)
% 1.36/1.41 | (c2_1 @ X0)
% 1.36/1.41 | (c3_1 @ X1)
% 1.36/1.41 | ~ (c3_1 @ X0)
% 1.36/1.41 | ~ (c1_1 @ X0)
% 1.36/1.41 | ~ (ndr1_0)
% 1.36/1.41 | ~ (c2_1 @ X1)
% 1.36/1.41 | ~ (c1_1 @ X1))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_144])).
% 1.36/1.41 thf('227', plain,
% 1.36/1.41 (( (hskp9)) |
% 1.36/1.41 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 1.36/1.41 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c1_1 @ X1) | ~ (c2_1 @ X1))) |
% 1.36/1.41 ~ ( (ndr1_0))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl186])).
% 1.36/1.41 thf(clause76, conjecture, (~( ( c0_1 @ a16 ) | ( ~( hskp9 ) ) ))).
% 1.36/1.41 thf(zf_stmt_145, negated_conjecture, (( c0_1 @ a16 ) | ( ~( hskp9 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause76])).
% 1.36/1.41 thf(zip_derived_cl75, plain, (( (c0_1 @ a16) | ~ (hskp9))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_145])).
% 1.36/1.41 thf('228', plain, (( (c0_1 @ a16)) | ~ ( (hskp9))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl75])).
% 1.36/1.41 thf('229', plain, (( (c1_1 @ a16)) | ~ ( (hskp9))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl76])).
% 1.36/1.41 thf(clause114, conjecture, (~( ( ~( hskp9 ) ) | ( ~( c3_1 @ a16 ) ) ))).
% 1.36/1.41 thf(zf_stmt_146, negated_conjecture, (( ~( hskp9 ) ) | ( ~( c3_1 @ a16 ) )),
% 1.36/1.41 inference('cnf.neg', [status(esa)], [clause114])).
% 1.36/1.41 thf(zip_derived_cl113, plain, ((~ (hskp9) | ~ (c3_1 @ a16))),
% 1.36/1.41 inference('cnf', [status(esa)], [zf_stmt_146])).
% 1.36/1.41 thf('230', plain, (~ ( (c3_1 @ a16)) | ~ ( (hskp9))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl113])).
% 1.36/1.41 thf(zip_derived_cl596, plain,
% 1.36/1.41 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.36/1.41 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl162])).
% 1.36/1.41 thf(zip_derived_cl364, plain, (( (c1_1 @ a16)) <= (( (c1_1 @ a16)))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl76])).
% 1.36/1.41 thf(zip_derived_cl1143, plain,
% 1.36/1.41 (((~ (c0_1 @ a16) | (c3_1 @ a16)))
% 1.36/1.41 <= (( (c1_1 @ a16)) &
% 1.36/1.41 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.36/1.41 inference('s_sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl364])).
% 1.36/1.41 thf('231', plain,
% 1.36/1.41 (~ ( (c0_1 @ a16)) | ~ ( (c1_1 @ a16)) |
% 1.36/1.41 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.36/1.41 ( (c3_1 @ a16))),
% 1.36/1.41 inference('split', [status(esa)], [zip_derived_cl1143])).
% 1.36/1.41 thf(zip_derived_cl6812, plain, ($false),
% 1.36/1.41 inference('sat_resolution*', [status(thm)],
% 1.36/1.41 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.36/1.41 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.36/1.41 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 1.36/1.41 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 1.36/1.41 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 1.36/1.41 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 1.36/1.41 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 1.36/1.41 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 1.36/1.41 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 1.36/1.41 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 1.36/1.41 '102', '103', '104', '105', '106', '107', '108', '109',
% 1.36/1.41 '110', '111', '112', '113', '114', '115', '116', '117',
% 1.36/1.41 '118', '119', '120', '121', '122', '123', '124', '125',
% 1.36/1.41 '126', '127', '128', '129', '130', '131', '132', '133',
% 1.36/1.41 '134', '135', '136', '137', '138', '139', '140', '141',
% 1.36/1.41 '142', '143', '144', '145', '146', '147', '148', '149',
% 1.36/1.41 '150', '151', '152', '153', '154', '155', '156', '157',
% 1.36/1.41 '158', '159', '160', '161', '162', '163', '164', '165',
% 1.36/1.41 '166', '167', '168', '169', '170', '171', '172', '173',
% 1.36/1.41 '174', '175', '176', '177', '178', '179', '180', '181',
% 1.36/1.41 '182', '183', '184', '185', '186', '187', '188', '189',
% 1.36/1.41 '190', '191', '192', '193', '194', '195', '196', '197',
% 1.36/1.41 '198', '199', '200', '201', '202', '203', '204', '205',
% 1.36/1.41 '206', '207', '208', '209', '210', '211', '212', '213',
% 1.36/1.41 '214', '215', '216', '217', '218', '219', '220', '221',
% 1.36/1.41 '222', '223', '224', '225', '226', '227', '228', '229',
% 1.36/1.41 '230', '231'])).
% 1.36/1.41
% 1.36/1.41 % SZS output end Refutation
% 1.36/1.41
% 1.36/1.41
% 1.36/1.42 % Terminating...
% 6.48/1.54 % Runner terminated.
% 6.48/1.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------