TSTP Solution File: SYN475-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN475-1 : 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.MY73i8mtXq true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:03:54 EDT 2023
% Result : Unsatisfiable 1.28s 1.32s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MY73i8mtXq true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:59:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.76/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/1.32 % Solved by fo/fo1_av.sh.
% 1.28/1.32 % done 1496 iterations in 0.550s
% 1.28/1.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/1.32 % SZS output start Refutation
% 1.28/1.32 thf(hskp24_type, type, hskp24: $o).
% 1.28/1.32 thf(hskp19_type, type, hskp19: $o).
% 1.28/1.32 thf(hskp3_type, type, hskp3: $o).
% 1.28/1.32 thf(c3_1_type, type, c3_1: $i > $o).
% 1.28/1.32 thf(hskp0_type, type, hskp0: $o).
% 1.28/1.32 thf(a1052_type, type, a1052: $i).
% 1.28/1.32 thf(a1008_type, type, a1008: $i).
% 1.28/1.32 thf(hskp25_type, type, hskp25: $o).
% 1.28/1.32 thf(hskp10_type, type, hskp10: $o).
% 1.28/1.32 thf(hskp7_type, type, hskp7: $o).
% 1.28/1.32 thf(a1029_type, type, a1029: $i).
% 1.28/1.32 thf(hskp23_type, type, hskp23: $o).
% 1.28/1.32 thf(a1026_type, type, a1026: $i).
% 1.28/1.32 thf(hskp14_type, type, hskp14: $o).
% 1.28/1.32 thf(a1019_type, type, a1019: $i).
% 1.28/1.32 thf(hskp26_type, type, hskp26: $o).
% 1.28/1.32 thf(a1011_type, type, a1011: $i).
% 1.28/1.32 thf(hskp2_type, type, hskp2: $o).
% 1.28/1.32 thf(hskp21_type, type, hskp21: $o).
% 1.28/1.32 thf(a1023_type, type, a1023: $i).
% 1.28/1.32 thf(hskp27_type, type, hskp27: $o).
% 1.28/1.32 thf(c0_1_type, type, c0_1: $i > $o).
% 1.28/1.32 thf(hskp5_type, type, hskp5: $o).
% 1.28/1.32 thf(a1002_type, type, a1002: $i).
% 1.28/1.32 thf(a1040_type, type, a1040: $i).
% 1.28/1.32 thf(a1048_type, type, a1048: $i).
% 1.28/1.32 thf(hskp4_type, type, hskp4: $o).
% 1.28/1.32 thf(a1025_type, type, a1025: $i).
% 1.28/1.32 thf(a1003_type, type, a1003: $i).
% 1.28/1.32 thf(a1045_type, type, a1045: $i).
% 1.28/1.32 thf(c2_1_type, type, c2_1: $i > $o).
% 1.28/1.32 thf(a1044_type, type, a1044: $i).
% 1.28/1.32 thf(hskp8_type, type, hskp8: $o).
% 1.28/1.32 thf(ndr1_0_type, type, ndr1_0: $o).
% 1.28/1.32 thf(a1006_type, type, a1006: $i).
% 1.28/1.32 thf(hskp6_type, type, hskp6: $o).
% 1.28/1.32 thf(c1_1_type, type, c1_1: $i > $o).
% 1.28/1.32 thf(hskp9_type, type, hskp9: $o).
% 1.28/1.32 thf(hskp29_type, type, hskp29: $o).
% 1.28/1.32 thf(hskp1_type, type, hskp1: $o).
% 1.28/1.32 thf(hskp12_type, type, hskp12: $o).
% 1.28/1.32 thf(a1004_type, type, a1004: $i).
% 1.28/1.32 thf(a1010_type, type, a1010: $i).
% 1.28/1.32 thf(a1032_type, type, a1032: $i).
% 1.28/1.32 thf(hskp17_type, type, hskp17: $o).
% 1.28/1.32 thf(a1001_type, type, a1001: $i).
% 1.28/1.32 thf(hskp13_type, type, hskp13: $o).
% 1.28/1.32 thf(hskp11_type, type, hskp11: $o).
% 1.28/1.32 thf(a1000_type, type, a1000: $i).
% 1.28/1.32 thf(hskp15_type, type, hskp15: $o).
% 1.28/1.32 thf(clause176, conjecture,
% 1.28/1.32 (~( ( hskp8 ) | ( c0_1 @ V ) | ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_0, negated_conjecture,
% 1.28/1.32 (( hskp8 ) | ( c0_1 @ V ) | ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause176])).
% 1.28/1.32 thf(zip_derived_cl175, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp8)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/1.32 thf(zip_derived_cl641, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl175])).
% 1.28/1.32 thf(clause72, conjecture, (~( ( c3_1 @ a1010 ) | ( ~( hskp8 ) ) ))).
% 1.28/1.32 thf(zf_stmt_1, negated_conjecture, (( c3_1 @ a1010 ) | ( ~( hskp8 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause72])).
% 1.28/1.32 thf(zip_derived_cl71, plain, (( (c3_1 @ a1010) | ~ (hskp8))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.28/1.32 thf(zip_derived_cl343, plain, (( (c3_1 @ a1010)) <= (( (c3_1 @ a1010)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.28/1.32 thf(zip_derived_cl1219, plain,
% 1.28/1.32 ((( (c1_1 @ a1010) | ~ (c2_1 @ a1010)))
% 1.28/1.32 <= (( (c3_1 @ a1010)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl641, zip_derived_cl343])).
% 1.28/1.32 thf('0', plain,
% 1.28/1.32 (~ ( (c2_1 @ a1010)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 ~ ( (c3_1 @ a1010)) | ( (c1_1 @ a1010))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1219])).
% 1.28/1.32 thf(clause147, conjecture,
% 1.28/1.32 (~( ( hskp7 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_2, negated_conjecture,
% 1.28/1.32 (( hskp7 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause147])).
% 1.28/1.32 thf(zip_derived_cl146, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp7) | ~ (ndr1_0) | ~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/1.32 thf('1', plain,
% 1.28/1.32 (( (hskp7)) |
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.28/1.32 thf(clause141, conjecture,
% 1.28/1.32 (~( ( hskp26 ) | ( hskp8 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_3, negated_conjecture,
% 1.28/1.32 (( hskp26 ) | ( hskp8 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause141])).
% 1.28/1.32 thf(zip_derived_cl140, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp26)
% 1.28/1.32 | (hskp8)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.28/1.32 thf(zip_derived_cl502, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl140])).
% 1.28/1.32 thf(clause69, conjecture, (~( ( c0_1 @ a1011 ) | ( ~( hskp9 ) ) ))).
% 1.28/1.32 thf(zf_stmt_4, negated_conjecture, (( c0_1 @ a1011 ) | ( ~( hskp9 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause69])).
% 1.28/1.32 thf(zip_derived_cl68, plain, (( (c0_1 @ a1011) | ~ (hskp9))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.28/1.32 thf(zip_derived_cl337, plain, (( (c0_1 @ a1011)) <= (( (c0_1 @ a1011)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl68])).
% 1.28/1.32 thf(zip_derived_cl962, plain,
% 1.28/1.32 (((~ (c1_1 @ a1011) | (c2_1 @ a1011)))
% 1.28/1.32 <= (( (c0_1 @ a1011)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl502, zip_derived_cl337])).
% 1.28/1.32 thf('2', plain,
% 1.28/1.32 (~ ( (c1_1 @ a1011)) | ~ ( (c0_1 @ a1011)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ( (c2_1 @ a1011))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl962])).
% 1.28/1.32 thf('3', plain, (( (c0_1 @ a1011)) | ~ ( (hskp9))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl68])).
% 1.28/1.32 thf(clause70, conjecture, (~( ( c1_1 @ a1011 ) | ( ~( hskp9 ) ) ))).
% 1.28/1.32 thf(zf_stmt_5, negated_conjecture, (( c1_1 @ a1011 ) | ( ~( hskp9 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause70])).
% 1.28/1.32 thf(zip_derived_cl69, plain, (( (c1_1 @ a1011) | ~ (hskp9))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.28/1.32 thf('4', plain, (( (c1_1 @ a1011)) | ~ ( (hskp9))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl69])).
% 1.28/1.32 thf(clause116, conjecture, (~( ( ~( hskp9 ) ) | ( ~( c2_1 @ a1011 ) ) ))).
% 1.28/1.32 thf(zf_stmt_6, negated_conjecture, (( ~( hskp9 ) ) | ( ~( c2_1 @ a1011 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause116])).
% 1.28/1.32 thf(zip_derived_cl115, plain, ((~ (hskp9) | ~ (c2_1 @ a1011))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.28/1.32 thf('5', plain, (~ ( (c2_1 @ a1011)) | ~ ( (hskp9))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl115])).
% 1.28/1.32 thf(clause148, conjecture,
% 1.28/1.32 (~( ( hskp12 ) | ( hskp9 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_7, negated_conjecture,
% 1.28/1.32 (( hskp12 ) | ( hskp9 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause148])).
% 1.28/1.32 thf(zip_derived_cl147, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp12)
% 1.28/1.32 | (hskp9)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.28/1.32 thf('6', plain,
% 1.28/1.32 (( (hskp9)) | ( (hskp12)) | ~ ( (ndr1_0)) |
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.28/1.32 thf(clause155, conjecture,
% 1.28/1.32 (~( ( hskp6 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) |
% 1.28/1.32 ( c0_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_8, negated_conjecture,
% 1.28/1.32 (( hskp6 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause155])).
% 1.28/1.32 thf(zip_derived_cl154, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp6)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c0_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.28/1.32 thf(zip_derived_cl557, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl154])).
% 1.28/1.32 thf(clause60, conjecture, (~( ( c3_1 @ a1032 ) | ( ~( hskp17 ) ) ))).
% 1.28/1.32 thf(zf_stmt_9, negated_conjecture, (( c3_1 @ a1032 ) | ( ~( hskp17 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause60])).
% 1.28/1.32 thf(zip_derived_cl59, plain, (( (c3_1 @ a1032) | ~ (hskp17))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.28/1.32 thf(zip_derived_cl319, plain, (( (c3_1 @ a1032)) <= (( (c3_1 @ a1032)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.28/1.32 thf(zip_derived_cl1072, plain,
% 1.28/1.32 ((( (c0_1 @ a1032) | ~ (c2_1 @ a1032)))
% 1.28/1.32 <= (( (c3_1 @ a1032)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl557, zip_derived_cl319])).
% 1.28/1.32 thf('7', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c3_1 @ a1032)) | ~ ( (c2_1 @ a1032)) | ( (c0_1 @ a1032))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1072])).
% 1.28/1.32 thf(clause166, conjecture,
% 1.28/1.32 (~( ( hskp11 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_10, negated_conjecture,
% 1.28/1.32 (( hskp11 ) | ( c3_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause166])).
% 1.28/1.32 thf(zip_derived_cl165, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp11)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c0_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.28/1.32 thf(zip_derived_cl601, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl165])).
% 1.28/1.32 thf(zip_derived_cl319, plain, (( (c3_1 @ a1032)) <= (( (c3_1 @ a1032)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.28/1.32 thf(zip_derived_cl1142, plain,
% 1.28/1.32 ((( (c0_1 @ a1032) | ~ (c1_1 @ a1032)))
% 1.28/1.32 <= (( (c3_1 @ a1032)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl319])).
% 1.28/1.32 thf('8', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c1_1 @ a1032)) | ( (c0_1 @ a1032)) | ~ ( (c3_1 @ a1032))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1142])).
% 1.28/1.32 thf(clause133, conjecture,
% 1.28/1.32 (~( ( hskp12 ) | ( hskp6 ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_11, negated_conjecture,
% 1.28/1.32 (( hskp12 ) | ( hskp6 ) | ( c3_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause133])).
% 1.28/1.32 thf(zip_derived_cl132, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp12)
% 1.28/1.32 | (hskp6)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.28/1.32 thf(zip_derived_cl471, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl132])).
% 1.28/1.32 thf(clause124, conjecture, (~( ( ~( hskp4 ) ) | ( ~( c3_1 @ a1004 ) ) ))).
% 1.28/1.32 thf(zf_stmt_12, negated_conjecture, (( ~( hskp4 ) ) | ( ~( c3_1 @ a1004 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause124])).
% 1.28/1.32 thf(zip_derived_cl123, plain, ((~ (hskp4) | ~ (c3_1 @ a1004))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.28/1.32 thf(zip_derived_cl447, plain, ((~ (c3_1 @ a1004)) <= (~ ( (c3_1 @ a1004)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl123])).
% 1.28/1.32 thf(zip_derived_cl1189, plain,
% 1.28/1.32 ((( (c0_1 @ a1004) | ~ (c1_1 @ a1004)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1004)) &
% 1.28/1.32 (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl471, zip_derived_cl447])).
% 1.28/1.32 thf('9', plain,
% 1.28/1.32 (( (c0_1 @ a1004)) | ( (c3_1 @ a1004)) |
% 1.28/1.32 ~ (![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1004))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1189])).
% 1.28/1.32 thf(clause157, conjecture,
% 1.28/1.32 (~( ( hskp4 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( c1_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_13, negated_conjecture,
% 1.28/1.32 (( hskp4 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause157])).
% 1.28/1.32 thf(zip_derived_cl156, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp4)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c3_1 @ X1)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.28/1.32 thf('10', plain,
% 1.28/1.32 (( (hskp4)) |
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl156])).
% 1.28/1.32 thf(clause137, conjecture,
% 1.28/1.32 (~( ( hskp21 ) | ( hskp29 ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_14, negated_conjecture,
% 1.28/1.32 (( hskp21 ) | ( hskp29 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause137])).
% 1.28/1.32 thf(zip_derived_cl136, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp21)
% 1.28/1.32 | (hskp29)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.28/1.32 thf(zip_derived_cl487, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl136])).
% 1.28/1.32 thf(clause129, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c3_1 @ a1000 ) ) ))).
% 1.28/1.32 thf(zf_stmt_15, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c3_1 @ a1000 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause129])).
% 1.28/1.32 thf(zip_derived_cl128, plain, ((~ (hskp0) | ~ (c3_1 @ a1000))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.28/1.32 thf(zip_derived_cl457, plain, ((~ (c3_1 @ a1000)) <= (~ ( (c3_1 @ a1000)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl128])).
% 1.28/1.32 thf(zip_derived_cl1374, plain,
% 1.28/1.32 (((~ (c0_1 @ a1000) | (c1_1 @ a1000)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1000)) &
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl487, zip_derived_cl457])).
% 1.28/1.32 thf('11', plain,
% 1.28/1.32 (~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ( (c1_1 @ a1000)) | ( (c3_1 @ a1000)) | ~ ( (c0_1 @ a1000))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1374])).
% 1.28/1.32 thf(clause189, conjecture,
% 1.28/1.32 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_16, negated_conjecture,
% 1.28/1.32 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause189])).
% 1.28/1.32 thf(zip_derived_cl188, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.32 ( (c3_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | (c3_1 @ X2)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X2)
% 1.28/1.32 | ~ (c0_1 @ X2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.28/1.32 thf('12', plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c1_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl188])).
% 1.28/1.32 thf(clause173, conjecture,
% 1.28/1.32 (~( ( hskp15 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_17, negated_conjecture,
% 1.28/1.32 (( hskp15 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause173])).
% 1.28/1.32 thf(zip_derived_cl172, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp15)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c3_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.28/1.32 thf(zip_derived_cl629, plain,
% 1.28/1.32 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl172])).
% 1.28/1.32 thf(zip_derived_cl457, plain, ((~ (c3_1 @ a1000)) <= (~ ( (c3_1 @ a1000)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl128])).
% 1.28/1.32 thf(zip_derived_cl1625, plain,
% 1.28/1.32 (((~ (c0_1 @ a1000) | ~ (c2_1 @ a1000)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1000)) &
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl629, zip_derived_cl457])).
% 1.28/1.32 thf('13', plain,
% 1.28/1.32 (~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c0_1 @ a1000)) | ( (c3_1 @ a1000)) | ~ ( (c2_1 @ a1000))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1625])).
% 1.28/1.32 thf('14', plain, (~ ( (c3_1 @ a1000)) | ~ ( (hskp0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl128])).
% 1.28/1.32 thf(clause186, conjecture,
% 1.28/1.32 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( c2_1 @ U ) | ( ~( c2_1 @ W ) ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_18, negated_conjecture,
% 1.28/1.32 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( c2_1 @ U ) | ( ~( c2_1 @ W ) ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause186])).
% 1.28/1.32 thf(zip_derived_cl185, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.32 ( (c3_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | (c3_1 @ X2)
% 1.28/1.32 | (c2_1 @ X2)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c0_1 @ X2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.28/1.32 thf('15', plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl185])).
% 1.28/1.32 thf(clause165, conjecture,
% 1.28/1.32 (~( ( hskp0 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_19, negated_conjecture,
% 1.28/1.32 (( hskp0 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause165])).
% 1.28/1.32 thf(zip_derived_cl164, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp0)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c0_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.28/1.32 thf('16', plain,
% 1.28/1.32 (( (hskp0)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0)) |
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.28/1.32 thf(clause160, conjecture,
% 1.28/1.32 (~( ( hskp27 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 1.28/1.32 ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_20, negated_conjecture,
% 1.28/1.32 (( hskp27 ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause160])).
% 1.28/1.32 thf(zip_derived_cl159, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp27)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.28/1.32 thf(zip_derived_cl577, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.28/1.32 thf(clause83, conjecture, (~( ( c0_1 @ a1000 ) | ( ~( hskp0 ) ) ))).
% 1.28/1.32 thf(zf_stmt_21, negated_conjecture, (( c0_1 @ a1000 ) | ( ~( hskp0 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause83])).
% 1.28/1.32 thf(zip_derived_cl82, plain, (( (c0_1 @ a1000) | ~ (hskp0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.28/1.32 thf(zip_derived_cl365, plain, (( (c0_1 @ a1000)) <= (( (c0_1 @ a1000)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.28/1.32 thf(zip_derived_cl1102, plain,
% 1.28/1.32 ((( (c1_1 @ a1000) | ~ (c2_1 @ a1000)))
% 1.28/1.32 <= (( (c0_1 @ a1000)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl365])).
% 1.28/1.32 thf('17', plain,
% 1.28/1.32 (( (c1_1 @ a1000)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c0_1 @ a1000)) | ~ ( (c2_1 @ a1000))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1102])).
% 1.28/1.32 thf('18', plain, (( (c0_1 @ a1000)) | ~ ( (hskp0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.28/1.32 thf(clause84, conjecture, (~( ( c2_1 @ a1000 ) | ( ~( hskp0 ) ) ))).
% 1.28/1.32 thf(zf_stmt_22, negated_conjecture, (( c2_1 @ a1000 ) | ( ~( hskp0 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause84])).
% 1.28/1.32 thf(zip_derived_cl83, plain, (( (c2_1 @ a1000) | ~ (hskp0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.28/1.32 thf('19', plain, (( (c2_1 @ a1000)) | ~ ( (hskp0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl83])).
% 1.28/1.32 thf(zip_derived_cl365, plain, (( (c0_1 @ a1000)) <= (( (c0_1 @ a1000)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl82])).
% 1.28/1.32 thf(zip_derived_cl526, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.28/1.32 thf(zip_derived_cl899, plain,
% 1.28/1.32 (((~ (c2_1 @ a1000) | ~ (c1_1 @ a1000)))
% 1.28/1.32 <= (( (c0_1 @ a1000)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl526])).
% 1.28/1.32 thf('20', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1000)) | ~ ( (c0_1 @ a1000)) | ~ ( (c2_1 @ a1000))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl899])).
% 1.28/1.32 thf(clause131, conjecture,
% 1.28/1.32 (~( ( hskp10 ) | ( hskp9 ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_23, negated_conjecture,
% 1.28/1.32 (( hskp10 ) | ( hskp9 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause131])).
% 1.28/1.32 thf(zip_derived_cl130, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp10)
% 1.28/1.32 | (hskp9)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.28/1.32 thf(zip_derived_cl463, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl130])).
% 1.28/1.32 thf(clause85, conjecture, (~( ( ~( hskp26 ) ) | ( ~( c0_1 @ a1052 ) ) ))).
% 1.28/1.32 thf(zf_stmt_24, negated_conjecture,
% 1.28/1.32 (( ~( hskp26 ) ) | ( ~( c0_1 @ a1052 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause85])).
% 1.28/1.32 thf(zip_derived_cl84, plain, ((~ (hskp26) | ~ (c0_1 @ a1052))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.28/1.32 thf(zip_derived_cl369, plain, ((~ (c0_1 @ a1052)) <= (~ ( (c0_1 @ a1052)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.28/1.32 thf(zip_derived_cl996, plain,
% 1.28/1.32 (((~ (c1_1 @ a1052) | (c2_1 @ a1052)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1052)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl369])).
% 1.28/1.32 thf('21', plain,
% 1.28/1.32 (~ ( (c1_1 @ a1052)) | ( (c0_1 @ a1052)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ( (c2_1 @ a1052))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl996])).
% 1.28/1.32 thf('22', plain, (~ ( (c0_1 @ a1052)) | ~ ( (hskp26))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.28/1.32 thf(clause86, conjecture, (~( ( ~( hskp26 ) ) | ( ~( c2_1 @ a1052 ) ) ))).
% 1.28/1.32 thf(zf_stmt_25, negated_conjecture,
% 1.28/1.32 (( ~( hskp26 ) ) | ( ~( c2_1 @ a1052 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause86])).
% 1.28/1.32 thf(zip_derived_cl85, plain, ((~ (hskp26) | ~ (c2_1 @ a1052))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.28/1.32 thf('23', plain, (~ ( (c2_1 @ a1052)) | ~ ( (hskp26))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl85])).
% 1.28/1.32 thf('24', plain,
% 1.28/1.32 (( (hskp26)) | ( (hskp8)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl140])).
% 1.28/1.32 thf(clause42, conjecture, (~( ( c3_1 @ a1040 ) | ( ~( hskp29 ) ) ))).
% 1.28/1.32 thf(zf_stmt_26, negated_conjecture, (( c3_1 @ a1040 ) | ( ~( hskp29 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause42])).
% 1.28/1.32 thf(zip_derived_cl41, plain, (( (c3_1 @ a1040) | ~ (hskp29))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.28/1.32 thf('25', plain, (( (c3_1 @ a1040)) | ~ ( (hskp29))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.28/1.32 thf(clause149, conjecture,
% 1.28/1.32 (~( ( hskp3 ) | ( hskp24 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_27, negated_conjecture,
% 1.28/1.32 (( hskp3 ) | ( hskp24 ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause149])).
% 1.28/1.32 thf(zip_derived_cl148, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp3)
% 1.28/1.32 | (hskp24)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X0)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.28/1.32 thf(zip_derived_cl533, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl148])).
% 1.28/1.32 thf(zip_derived_cl283, plain, (( (c3_1 @ a1040)) <= (( (c3_1 @ a1040)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.28/1.32 thf(zip_derived_cl746, plain,
% 1.28/1.32 (((~ (c0_1 @ a1040) | ~ (c2_1 @ a1040)))
% 1.28/1.32 <= (( (c3_1 @ a1040)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl533, zip_derived_cl283])).
% 1.28/1.32 thf('26', plain,
% 1.28/1.32 (~ ( (c2_1 @ a1040)) | ~ ( (c3_1 @ a1040)) |
% 1.28/1.32 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c0_1 @ a1040))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl746])).
% 1.28/1.32 thf(clause40, conjecture, (~( ( c0_1 @ a1040 ) | ( ~( hskp29 ) ) ))).
% 1.28/1.32 thf(zf_stmt_28, negated_conjecture, (( c0_1 @ a1040 ) | ( ~( hskp29 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause40])).
% 1.28/1.32 thf(zip_derived_cl39, plain, (( (c0_1 @ a1040) | ~ (hskp29))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.28/1.32 thf('27', plain, (( (c0_1 @ a1040)) | ~ ( (hskp29))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.28/1.32 thf(clause41, conjecture, (~( ( c1_1 @ a1040 ) | ( ~( hskp29 ) ) ))).
% 1.28/1.32 thf(zf_stmt_29, negated_conjecture, (( c1_1 @ a1040 ) | ( ~( hskp29 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause41])).
% 1.28/1.32 thf(zip_derived_cl40, plain, (( (c1_1 @ a1040) | ~ (hskp29))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.28/1.32 thf('28', plain, (( (c1_1 @ a1040)) | ~ ( (hskp29))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl40])).
% 1.28/1.32 thf(clause31, conjecture, (~( ( hskp13 ) | ( hskp23 ) | ( hskp29 ) ))).
% 1.28/1.32 thf(zf_stmt_30, negated_conjecture, (( hskp13 ) | ( hskp23 ) | ( hskp29 )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause31])).
% 1.28/1.32 thf(zip_derived_cl30, plain, (( (hskp13) | (hskp23) | (hskp29))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.28/1.32 thf('29', plain, (( (hskp13)) | ( (hskp29)) | ( (hskp23))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.28/1.32 thf(zip_derived_cl502, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl140])).
% 1.28/1.32 thf(zip_derived_cl279, plain, (( (c0_1 @ a1040)) <= (( (c0_1 @ a1040)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.28/1.32 thf(zip_derived_cl955, plain,
% 1.28/1.32 (((~ (c1_1 @ a1040) | (c2_1 @ a1040)))
% 1.28/1.32 <= (( (c0_1 @ a1040)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl502, zip_derived_cl279])).
% 1.28/1.32 thf('30', plain,
% 1.28/1.32 (( (c2_1 @ a1040)) | ~ ( (c1_1 @ a1040)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c0_1 @ a1040))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl955])).
% 1.28/1.32 thf(clause130, conjecture,
% 1.28/1.32 (~( ( hskp1 ) | ( hskp0 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) ))).
% 1.28/1.32 thf(zf_stmt_31, negated_conjecture,
% 1.28/1.32 (( hskp1 ) | ( hskp0 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause130])).
% 1.28/1.32 thf(zip_derived_cl129, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp1)
% 1.28/1.32 | (hskp0)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.28/1.32 thf(zip_derived_cl459, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl129])).
% 1.28/1.32 thf(clause64, conjecture, (~( ( c3_1 @ a1023 ) | ( ~( hskp13 ) ) ))).
% 1.28/1.32 thf(zf_stmt_32, negated_conjecture, (( c3_1 @ a1023 ) | ( ~( hskp13 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause64])).
% 1.28/1.32 thf(zip_derived_cl63, plain, (( (c3_1 @ a1023) | ~ (hskp13))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.28/1.32 thf(zip_derived_cl327, plain, (( (c3_1 @ a1023)) <= (( (c3_1 @ a1023)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl63])).
% 1.28/1.32 thf(zip_derived_cl533, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl148])).
% 1.28/1.32 thf(zip_derived_cl835, plain,
% 1.28/1.32 (((~ (c2_1 @ a1023) | ~ (c0_1 @ a1023)))
% 1.28/1.32 <= (( (c3_1 @ a1023)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl533])).
% 1.28/1.32 thf(zip_derived_cl901, plain, ((~ (c0_1 @ a1023)) <= (~ ( (c0_1 @ a1023)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl835])).
% 1.28/1.32 thf(zip_derived_cl919, plain,
% 1.28/1.32 ((( (c1_1 @ a1023) | (c2_1 @ a1023)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1023)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl901])).
% 1.28/1.32 thf('31', plain,
% 1.28/1.32 (( (c0_1 @ a1023)) | ( (c1_1 @ a1023)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ( (c2_1 @ a1023))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl919])).
% 1.28/1.32 thf('32', plain, (( (c3_1 @ a1023)) | ~ ( (hskp13))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl63])).
% 1.28/1.32 thf(clause109, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c1_1 @ a1023 ) ) ))).
% 1.28/1.32 thf(zf_stmt_33, negated_conjecture,
% 1.28/1.32 (( ~( hskp13 ) ) | ( ~( c1_1 @ a1023 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause109])).
% 1.28/1.32 thf(zip_derived_cl108, plain, ((~ (hskp13) | ~ (c1_1 @ a1023))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.28/1.32 thf('33', plain, (~ ( (c1_1 @ a1023)) | ~ ( (hskp13))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl108])).
% 1.28/1.32 thf(clause110, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c2_1 @ a1023 ) ) ))).
% 1.28/1.32 thf(zf_stmt_34, negated_conjecture,
% 1.28/1.32 (( ~( hskp13 ) ) | ( ~( c2_1 @ a1023 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause110])).
% 1.28/1.32 thf(zip_derived_cl109, plain, ((~ (hskp13) | ~ (c2_1 @ a1023))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.28/1.32 thf('34', plain, (~ ( (c2_1 @ a1023)) | ~ ( (hskp13))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl109])).
% 1.28/1.32 thf(clause138, conjecture,
% 1.28/1.32 (~( ( hskp23 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_35, negated_conjecture,
% 1.28/1.32 (( hskp23 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause138])).
% 1.28/1.32 thf(zip_derived_cl137, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp23) | (c1_1 @ X0) | ~ (ndr1_0) | ~ (c3_1 @ X0) | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.28/1.32 thf(zip_derived_cl491, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.28/1.32 thf(zip_derived_cl327, plain, (( (c3_1 @ a1023)) <= (( (c3_1 @ a1023)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl63])).
% 1.28/1.32 thf(zip_derived_cl938, plain,
% 1.28/1.32 (((~ (c0_1 @ a1023) | (c1_1 @ a1023)))
% 1.28/1.32 <= (( (c3_1 @ a1023)) &
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl327])).
% 1.28/1.32 thf('35', plain,
% 1.28/1.32 (~ ( (c0_1 @ a1023)) | ( (c1_1 @ a1023)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c3_1 @ a1023))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl938])).
% 1.28/1.32 thf('36', plain,
% 1.28/1.32 (( (hskp0)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ( (hskp1)) | ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl129])).
% 1.28/1.32 thf(zip_derived_cl459, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl129])).
% 1.28/1.32 thf(zip_derived_cl369, plain, ((~ (c0_1 @ a1052)) <= (~ ( (c0_1 @ a1052)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl84])).
% 1.28/1.32 thf(zip_derived_cl912, plain,
% 1.28/1.32 ((( (c1_1 @ a1052) | (c2_1 @ a1052)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1052)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl369])).
% 1.28/1.32 thf('37', plain,
% 1.28/1.32 (( (c1_1 @ a1052)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ( (c0_1 @ a1052)) | ( (c2_1 @ a1052))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl912])).
% 1.28/1.32 thf(clause187, conjecture,
% 1.28/1.32 (~( ( c1_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 1.28/1.32 ( ~( c2_1 @ W ) ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_36, negated_conjecture,
% 1.28/1.32 (( c1_1 @ W ) | ( c0_1 @ W ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 1.28/1.32 ( ~( c2_1 @ W ) ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause187])).
% 1.28/1.32 thf(zip_derived_cl186, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.32 ( (c1_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | (c2_1 @ X2)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X2)
% 1.28/1.32 | ~ (c0_1 @ X2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_36])).
% 1.28/1.32 thf('38', plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl186])).
% 1.28/1.32 thf(zip_derived_cl502, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl140])).
% 1.28/1.32 thf(clause53, conjecture, (~( ( c0_1 @ a1044 ) | ( ~( hskp23 ) ) ))).
% 1.28/1.32 thf(zf_stmt_37, negated_conjecture, (( c0_1 @ a1044 ) | ( ~( hskp23 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause53])).
% 1.28/1.32 thf(zip_derived_cl52, plain, (( (c0_1 @ a1044) | ~ (hskp23))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_37])).
% 1.28/1.32 thf(zip_derived_cl305, plain, (( (c0_1 @ a1044)) <= (( (c0_1 @ a1044)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.28/1.32 thf(zip_derived_cl958, plain,
% 1.28/1.32 (((~ (c1_1 @ a1044) | (c2_1 @ a1044)))
% 1.28/1.32 <= (( (c0_1 @ a1044)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl502, zip_derived_cl305])).
% 1.28/1.32 thf('39', plain,
% 1.28/1.32 (( (c2_1 @ a1044)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1044)) | ~ ( (c0_1 @ a1044))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl958])).
% 1.28/1.32 thf('40', plain,
% 1.28/1.32 (( (hskp23)) |
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.28/1.32 thf(clause65, conjecture, (~( ( c1_1 @ a1019 ) | ( ~( hskp12 ) ) ))).
% 1.28/1.32 thf(zf_stmt_38, negated_conjecture, (( c1_1 @ a1019 ) | ( ~( hskp12 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause65])).
% 1.28/1.32 thf(zip_derived_cl64, plain, (( (c1_1 @ a1019) | ~ (hskp12))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_38])).
% 1.28/1.32 thf('41', plain, (( (c1_1 @ a1019)) | ~ ( (hskp12))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl64])).
% 1.28/1.32 thf(clause66, conjecture, (~( ( c2_1 @ a1019 ) | ( ~( hskp12 ) ) ))).
% 1.28/1.32 thf(zf_stmt_39, negated_conjecture, (( c2_1 @ a1019 ) | ( ~( hskp12 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause66])).
% 1.28/1.32 thf(zip_derived_cl65, plain, (( (c2_1 @ a1019) | ~ (hskp12))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_39])).
% 1.28/1.32 thf('42', plain, (( (c2_1 @ a1019)) | ~ ( (hskp12))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl65])).
% 1.28/1.32 thf(clause111, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c0_1 @ a1019 ) ) ))).
% 1.28/1.32 thf(zf_stmt_40, negated_conjecture,
% 1.28/1.32 (( ~( hskp12 ) ) | ( ~( c0_1 @ a1019 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause111])).
% 1.28/1.32 thf(zip_derived_cl110, plain, ((~ (hskp12) | ~ (c0_1 @ a1019))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_40])).
% 1.28/1.32 thf('43', plain, (~ ( (c0_1 @ a1019)) | ~ ( (hskp12))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl110])).
% 1.28/1.32 thf(zip_derived_cl597, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.28/1.32 thf(zip_derived_cl421, plain, ((~ (c0_1 @ a1019)) <= (~ ( (c0_1 @ a1019)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl110])).
% 1.28/1.32 thf(zip_derived_cl1529, plain,
% 1.28/1.32 (((~ (c1_1 @ a1019) | ~ (c2_1 @ a1019)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1019)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl421])).
% 1.28/1.32 thf('44', plain,
% 1.28/1.32 (~ ( (c1_1 @ a1019)) | ( (c0_1 @ a1019)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1019))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1529])).
% 1.28/1.32 thf(zip_derived_cl4517, plain, (( (c0_1 @ a1004)) <= (( (c0_1 @ a1004)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1189])).
% 1.28/1.32 thf(zip_derived_cl526, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.28/1.32 thf(zip_derived_cl4520, plain,
% 1.28/1.32 (((~ (c2_1 @ a1004) | ~ (c1_1 @ a1004)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) &
% 1.28/1.32 ( (c0_1 @ a1004)))),
% 1.28/1.32 inference('s_sup-', [status(thm)],
% 1.28/1.32 [zip_derived_cl4517, zip_derived_cl526])).
% 1.28/1.32 thf('45', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c0_1 @ a1004)) | ~ ( (c2_1 @ a1004)) | ~ ( (c1_1 @ a1004))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl4520])).
% 1.28/1.32 thf(zip_derived_cl629, plain,
% 1.28/1.32 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl172])).
% 1.28/1.32 thf(zip_derived_cl447, plain, ((~ (c3_1 @ a1004)) <= (~ ( (c3_1 @ a1004)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl123])).
% 1.28/1.32 thf(zip_derived_cl1624, plain,
% 1.28/1.32 (((~ (c0_1 @ a1004) | ~ (c2_1 @ a1004)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1004)) &
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl629, zip_derived_cl447])).
% 1.28/1.32 thf('46', plain,
% 1.28/1.32 (~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c0_1 @ a1004)) | ( (c3_1 @ a1004)) | ~ ( (c2_1 @ a1004))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1624])).
% 1.28/1.32 thf(clause145, conjecture,
% 1.28/1.32 (~( ( hskp19 ) | ( hskp4 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_41, negated_conjecture,
% 1.28/1.32 (( hskp19 ) | ( hskp4 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause145])).
% 1.28/1.32 thf(zip_derived_cl144, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp19)
% 1.28/1.32 | (hskp4)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_41])).
% 1.28/1.32 thf(zip_derived_cl518, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl144])).
% 1.28/1.32 thf(zip_derived_cl447, plain, ((~ (c3_1 @ a1004)) <= (~ ( (c3_1 @ a1004)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl123])).
% 1.28/1.32 thf(zip_derived_cl1462, plain,
% 1.28/1.32 (((~ (c0_1 @ a1004) | ~ (c1_1 @ a1004)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1004)) &
% 1.28/1.32 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl518, zip_derived_cl447])).
% 1.28/1.32 thf(zip_derived_cl1668, plain, ((~ (c0_1 @ a1004)) <= (~ ( (c0_1 @ a1004)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1462])).
% 1.28/1.32 thf(zip_derived_cl597, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.28/1.32 thf(zip_derived_cl1672, plain,
% 1.28/1.32 (((~ (c2_1 @ a1004) | ~ (c1_1 @ a1004)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1004)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)],
% 1.28/1.32 [zip_derived_cl1668, zip_derived_cl597])).
% 1.28/1.32 thf('47', plain,
% 1.28/1.32 (( (c0_1 @ a1004)) | ~ ( (c1_1 @ a1004)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1004))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1672])).
% 1.28/1.32 thf(clause146, conjecture,
% 1.28/1.32 (~( ( hskp4 ) | ( hskp23 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_42, negated_conjecture,
% 1.28/1.32 (( hskp4 ) | ( hskp23 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause146])).
% 1.28/1.32 thf(zip_derived_cl145, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp4)
% 1.28/1.32 | (hskp23)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c1_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_42])).
% 1.28/1.32 thf(zip_derived_cl522, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.28/1.32 thf(zip_derived_cl447, plain, ((~ (c3_1 @ a1004)) <= (~ ( (c3_1 @ a1004)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl123])).
% 1.28/1.32 thf(zip_derived_cl1496, plain,
% 1.28/1.32 (((~ (c1_1 @ a1004) | ~ (c2_1 @ a1004)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1004)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl522, zip_derived_cl447])).
% 1.28/1.32 thf('48', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1004)) | ( (c3_1 @ a1004)) | ~ ( (c2_1 @ a1004))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1496])).
% 1.28/1.32 thf(clause76, conjecture, (~( ( c1_1 @ a1004 ) | ( ~( hskp4 ) ) ))).
% 1.28/1.32 thf(zf_stmt_43, negated_conjecture, (( c1_1 @ a1004 ) | ( ~( hskp4 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause76])).
% 1.28/1.32 thf(zip_derived_cl75, plain, (( (c1_1 @ a1004) | ~ (hskp4))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_43])).
% 1.28/1.32 thf('49', plain, (( (c1_1 @ a1004)) | ~ ( (hskp4))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl75])).
% 1.28/1.32 thf(clause77, conjecture, (~( ( c2_1 @ a1004 ) | ( ~( hskp4 ) ) ))).
% 1.28/1.32 thf(zf_stmt_44, negated_conjecture, (( c2_1 @ a1004 ) | ( ~( hskp4 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause77])).
% 1.28/1.32 thf(zip_derived_cl76, plain, (( (c2_1 @ a1004) | ~ (hskp4))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_44])).
% 1.28/1.32 thf('50', plain, (( (c2_1 @ a1004)) | ~ ( (hskp4))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl76])).
% 1.28/1.32 thf('51', plain, (~ ( (c3_1 @ a1004)) | ~ ( (hskp4))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl123])).
% 1.28/1.32 thf(clause140, conjecture,
% 1.28/1.32 (~( ( hskp15 ) | ( hskp24 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_45, negated_conjecture,
% 1.28/1.32 (( hskp15 ) | ( hskp24 ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause140])).
% 1.28/1.32 thf(zip_derived_cl139, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp15)
% 1.28/1.32 | (hskp24)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_45])).
% 1.28/1.32 thf('52', plain,
% 1.28/1.32 (( (hskp15)) | ( (hskp24)) |
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl139])).
% 1.28/1.32 thf(clause62, conjecture, (~( ( c2_1 @ a1026 ) | ( ~( hskp15 ) ) ))).
% 1.28/1.32 thf(zf_stmt_46, negated_conjecture, (( c2_1 @ a1026 ) | ( ~( hskp15 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause62])).
% 1.28/1.32 thf(zip_derived_cl61, plain, (( (c2_1 @ a1026) | ~ (hskp15))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_46])).
% 1.28/1.32 thf('53', plain, (( (c2_1 @ a1026)) | ~ ( (hskp15))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl61])).
% 1.28/1.32 thf(clause105, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c0_1 @ a1026 ) ) ))).
% 1.28/1.32 thf(zf_stmt_47, negated_conjecture,
% 1.28/1.32 (( ~( hskp15 ) ) | ( ~( c0_1 @ a1026 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause105])).
% 1.28/1.32 thf(zip_derived_cl104, plain, ((~ (hskp15) | ~ (c0_1 @ a1026))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_47])).
% 1.28/1.32 thf('54', plain, (~ ( (c0_1 @ a1026)) | ~ ( (hskp15))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl104])).
% 1.28/1.32 thf(clause106, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c1_1 @ a1026 ) ) ))).
% 1.28/1.32 thf(zf_stmt_48, negated_conjecture,
% 1.28/1.32 (( ~( hskp15 ) ) | ( ~( c1_1 @ a1026 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause106])).
% 1.28/1.32 thf(zip_derived_cl105, plain, ((~ (hskp15) | ~ (c1_1 @ a1026))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_48])).
% 1.28/1.32 thf('55', plain, (~ ( (c1_1 @ a1026)) | ~ ( (hskp15))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl105])).
% 1.28/1.32 thf(clause154, conjecture,
% 1.28/1.32 (~( ( hskp3 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( c2_1 @ U ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_49, negated_conjecture,
% 1.28/1.32 (( hskp3 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 1.28/1.32 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause154])).
% 1.28/1.32 thf(zip_derived_cl153, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp3)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c3_1 @ X1)
% 1.28/1.32 | (c2_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_49])).
% 1.28/1.32 thf(zip_derived_cl554, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl153])).
% 1.28/1.32 thf(zip_derived_cl409, plain, ((~ (c0_1 @ a1026)) <= (~ ( (c0_1 @ a1026)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl104])).
% 1.28/1.32 thf(zip_derived_cl1920, plain,
% 1.28/1.32 ((( (c1_1 @ a1026) | ~ (c2_1 @ a1026)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1026)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl554, zip_derived_cl409])).
% 1.28/1.32 thf('56', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ( (c0_1 @ a1026)) | ( (c1_1 @ a1026)) | ~ ( (c2_1 @ a1026))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1920])).
% 1.28/1.32 thf(clause164, conjecture,
% 1.28/1.32 (~( ( hskp4 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 1.28/1.32 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_50, negated_conjecture,
% 1.28/1.32 (( hskp4 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 1.28/1.32 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause164])).
% 1.28/1.32 thf(zip_derived_cl163, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp4)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c2_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_50])).
% 1.28/1.32 thf('57', plain,
% 1.28/1.32 (( (hskp4)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl163])).
% 1.28/1.32 thf(zip_derived_cl577, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.28/1.32 thf(clause71, conjecture, (~( ( c0_1 @ a1010 ) | ( ~( hskp8 ) ) ))).
% 1.28/1.32 thf(zf_stmt_51, negated_conjecture, (( c0_1 @ a1010 ) | ( ~( hskp8 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause71])).
% 1.28/1.32 thf(zip_derived_cl70, plain, (( (c0_1 @ a1010) | ~ (hskp8))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_51])).
% 1.28/1.32 thf(zip_derived_cl341, plain, (( (c0_1 @ a1010)) <= (( (c0_1 @ a1010)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl70])).
% 1.28/1.32 thf(zip_derived_cl1099, plain,
% 1.28/1.32 ((( (c1_1 @ a1010) | ~ (c2_1 @ a1010)))
% 1.28/1.32 <= (( (c0_1 @ a1010)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl341])).
% 1.28/1.32 thf('58', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1010)) | ~ ( (c0_1 @ a1010)) | ( (c1_1 @ a1010))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1099])).
% 1.28/1.32 thf(clause73, conjecture, (~( ( c2_1 @ a1008 ) | ( ~( hskp7 ) ) ))).
% 1.28/1.32 thf(zf_stmt_52, negated_conjecture, (( c2_1 @ a1008 ) | ( ~( hskp7 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause73])).
% 1.28/1.32 thf(zip_derived_cl72, plain, (( (c2_1 @ a1008) | ~ (hskp7))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_52])).
% 1.28/1.32 thf('59', plain, (( (c2_1 @ a1008)) | ~ ( (hskp7))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl72])).
% 1.28/1.32 thf(clause118, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c1_1 @ a1008 ) ) ))).
% 1.28/1.32 thf(zf_stmt_53, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c1_1 @ a1008 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause118])).
% 1.28/1.32 thf(zip_derived_cl117, plain, ((~ (hskp7) | ~ (c1_1 @ a1008))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_53])).
% 1.28/1.32 thf('60', plain, (~ ( (c1_1 @ a1008)) | ~ ( (hskp7))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl117])).
% 1.28/1.32 thf(clause119, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c3_1 @ a1008 ) ) ))).
% 1.28/1.32 thf(zf_stmt_54, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c3_1 @ a1008 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause119])).
% 1.28/1.32 thf(zip_derived_cl118, plain, ((~ (hskp7) | ~ (c3_1 @ a1008))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_54])).
% 1.28/1.32 thf('61', plain, (~ ( (c3_1 @ a1008)) | ~ ( (hskp7))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl118])).
% 1.28/1.32 thf(clause132, conjecture,
% 1.28/1.32 (~( ( hskp7 ) | ( hskp8 ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_55, negated_conjecture,
% 1.28/1.32 (( hskp7 ) | ( hskp8 ) | ( c2_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause132])).
% 1.28/1.32 thf(zip_derived_cl131, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp7)
% 1.28/1.32 | (hskp8)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c1_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_55])).
% 1.28/1.32 thf('62', plain,
% 1.28/1.32 (( (hskp7)) | ( (hskp8)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl131])).
% 1.28/1.32 thf(clause117, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c1_1 @ a1010 ) ) ))).
% 1.28/1.32 thf(zf_stmt_56, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c1_1 @ a1010 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause117])).
% 1.28/1.32 thf(zip_derived_cl116, plain, ((~ (hskp8) | ~ (c1_1 @ a1010))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_56])).
% 1.28/1.32 thf('63', plain, (~ ( (c1_1 @ a1010)) | ~ ( (hskp8))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl116])).
% 1.28/1.32 thf(zip_derived_cl491, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl137])).
% 1.28/1.32 thf(zip_derived_cl343, plain, (( (c3_1 @ a1010)) <= (( (c3_1 @ a1010)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.28/1.32 thf(zip_derived_cl940, plain,
% 1.28/1.32 (((~ (c0_1 @ a1010) | (c1_1 @ a1010)))
% 1.28/1.32 <= (( (c3_1 @ a1010)) &
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl343])).
% 1.28/1.32 thf('64', plain,
% 1.28/1.32 (~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c3_1 @ a1010)) | ( (c1_1 @ a1010)) | ~ ( (c0_1 @ a1010))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl940])).
% 1.28/1.32 thf(clause178, conjecture,
% 1.28/1.32 (~( ( hskp15 ) | ( c0_1 @ V ) | ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_57, negated_conjecture,
% 1.28/1.32 (( hskp15 ) | ( c0_1 @ V ) | ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause178])).
% 1.28/1.32 thf(zip_derived_cl177, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp15)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (c3_1 @ X0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_57])).
% 1.28/1.32 thf('65', plain,
% 1.28/1.32 (( (hskp15)) |
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0)) |
% 1.28/1.32 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl177])).
% 1.28/1.32 thf(clause6, conjecture, (~( ( ndr1_0 ) | ( ~( hskp24 ) ) ))).
% 1.28/1.32 thf(zf_stmt_58, negated_conjecture, (( ndr1_0 ) | ( ~( hskp24 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause6])).
% 1.28/1.32 thf(zip_derived_cl5, plain, (( (ndr1_0) | ~ (hskp24))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_58])).
% 1.28/1.32 thf('66', plain, (( (ndr1_0)) | ~ ( (hskp24))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl5])).
% 1.28/1.32 thf(clause158, conjecture,
% 1.28/1.32 (~( ( hskp8 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 1.28/1.32 ( c1_1 @ U ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_59, negated_conjecture,
% 1.28/1.32 (( hskp8 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause158])).
% 1.28/1.32 thf(zip_derived_cl157, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp8)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c3_1 @ X1)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_59])).
% 1.28/1.32 thf(zip_derived_cl569, plain,
% 1.28/1.32 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl157])).
% 1.28/1.32 thf(zip_derived_cl437, plain, ((~ (c3_1 @ a1008)) <= (~ ( (c3_1 @ a1008)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl118])).
% 1.28/1.32 thf(zip_derived_cl2022, plain,
% 1.28/1.32 ((( (c1_1 @ a1008) | ~ (c2_1 @ a1008)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1008)) &
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl569, zip_derived_cl437])).
% 1.28/1.32 thf('67', plain,
% 1.28/1.32 (~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1008)) | ( (c1_1 @ a1008)) | ( (c3_1 @ a1008))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl2022])).
% 1.28/1.32 thf(zip_derived_cl343, plain, (( (c3_1 @ a1010)) <= (( (c3_1 @ a1010)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.28/1.32 thf(zip_derived_cl533, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl148])).
% 1.28/1.32 thf(zip_derived_cl859, plain,
% 1.28/1.32 (((~ (c2_1 @ a1010) | ~ (c0_1 @ a1010)))
% 1.28/1.32 <= (( (c3_1 @ a1010)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl533])).
% 1.28/1.32 thf('68', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c2_1 @ a1010)) | ~ ( (c3_1 @ a1010)) | ~ ( (c0_1 @ a1010))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl859])).
% 1.28/1.32 thf('69', plain, (( (c3_1 @ a1010)) | ~ ( (hskp8))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.28/1.32 thf('70', plain,
% 1.28/1.32 (( (hskp8)) |
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl175])).
% 1.28/1.32 thf(clause81, conjecture, (~( ( c2_1 @ a1001 ) | ( ~( hskp1 ) ) ))).
% 1.28/1.32 thf(zf_stmt_60, negated_conjecture, (( c2_1 @ a1001 ) | ( ~( hskp1 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause81])).
% 1.28/1.32 thf(zip_derived_cl80, plain, (( (c2_1 @ a1001) | ~ (hskp1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_60])).
% 1.28/1.32 thf('71', plain, (( (c2_1 @ a1001)) | ~ ( (hskp1))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl80])).
% 1.28/1.32 thf(clause82, conjecture, (~( ( c3_1 @ a1001 ) | ( ~( hskp1 ) ) ))).
% 1.28/1.32 thf(zf_stmt_61, negated_conjecture, (( c3_1 @ a1001 ) | ( ~( hskp1 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause82])).
% 1.28/1.32 thf(zip_derived_cl81, plain, (( (c3_1 @ a1001) | ~ (hskp1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_61])).
% 1.28/1.32 thf('72', plain, (( (c3_1 @ a1001)) | ~ ( (hskp1))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl81])).
% 1.28/1.32 thf(clause128, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c1_1 @ a1001 ) ) ))).
% 1.28/1.32 thf(zf_stmt_62, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c1_1 @ a1001 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause128])).
% 1.28/1.32 thf(zip_derived_cl127, plain, ((~ (hskp1) | ~ (c1_1 @ a1001))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_62])).
% 1.28/1.32 thf('73', plain, (~ ( (c1_1 @ a1001)) | ~ ( (hskp1))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl127])).
% 1.28/1.32 thf(zip_derived_cl641, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl175])).
% 1.28/1.32 thf(zip_derived_cl363, plain, (( (c3_1 @ a1001)) <= (( (c3_1 @ a1001)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl81])).
% 1.28/1.32 thf(zip_derived_cl1221, plain,
% 1.28/1.32 ((( (c1_1 @ a1001) | ~ (c2_1 @ a1001)))
% 1.28/1.32 <= (( (c3_1 @ a1001)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl641, zip_derived_cl363])).
% 1.28/1.32 thf('74', plain,
% 1.28/1.32 (~ ( (c3_1 @ a1001)) | ( (c1_1 @ a1001)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1001))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1221])).
% 1.28/1.32 thf(clause134, conjecture,
% 1.28/1.32 (~( ( hskp1 ) | ( hskp2 ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_63, negated_conjecture,
% 1.28/1.32 (( hskp1 ) | ( hskp2 ) | ( c3_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause134])).
% 1.28/1.32 thf(zip_derived_cl133, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp1)
% 1.28/1.32 | (hskp2)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_63])).
% 1.28/1.32 thf('75', plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ( (hskp2)) | ~ ( (ndr1_0)) | ( (hskp1))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl133])).
% 1.28/1.32 thf(zip_derived_cl475, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl133])).
% 1.28/1.32 thf(clause88, conjecture, (~( ( ~( hskp25 ) ) | ( ~( c3_1 @ a1048 ) ) ))).
% 1.28/1.32 thf(zf_stmt_64, negated_conjecture,
% 1.28/1.32 (( ~( hskp25 ) ) | ( ~( c3_1 @ a1048 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause88])).
% 1.28/1.32 thf(zip_derived_cl87, plain, ((~ (hskp25) | ~ (c3_1 @ a1048))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_64])).
% 1.28/1.32 thf(zip_derived_cl375, plain, ((~ (c3_1 @ a1048)) <= (~ ( (c3_1 @ a1048)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.28/1.32 thf(zip_derived_cl1260, plain,
% 1.28/1.32 ((( (c0_1 @ a1048) | ~ (c2_1 @ a1048)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1048)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl375])).
% 1.28/1.32 thf('76', plain,
% 1.28/1.32 (~ ( (c2_1 @ a1048)) | ( (c0_1 @ a1048)) |
% 1.28/1.32 ~ (![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ( (c3_1 @ a1048))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1260])).
% 1.28/1.32 thf(zip_derived_cl522, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.28/1.32 thf(zip_derived_cl375, plain, ((~ (c3_1 @ a1048)) <= (~ ( (c3_1 @ a1048)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.28/1.32 thf(zip_derived_cl1489, plain,
% 1.28/1.32 (((~ (c1_1 @ a1048) | ~ (c2_1 @ a1048)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1048)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl522, zip_derived_cl375])).
% 1.28/1.32 thf('77', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1048)) | ( (c3_1 @ a1048)) | ~ ( (c2_1 @ a1048))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1489])).
% 1.28/1.32 thf('78', plain, (~ ( (c3_1 @ a1048)) | ~ ( (hskp25))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl87])).
% 1.28/1.32 thf(clause182, conjecture,
% 1.28/1.32 (~( ( hskp17 ) | ( c3_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_65, negated_conjecture,
% 1.28/1.32 (( hskp17 ) | ( c3_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause182])).
% 1.28/1.32 thf(zip_derived_cl181, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp17)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_65])).
% 1.28/1.32 thf('79', plain,
% 1.28/1.32 (( (hskp17)) |
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl181])).
% 1.28/1.32 thf(zip_derived_cl629, plain,
% 1.28/1.32 ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl172])).
% 1.28/1.32 thf(clause90, conjecture, (~( ( ~( hskp23 ) ) | ( ~( c3_1 @ a1044 ) ) ))).
% 1.28/1.32 thf(zf_stmt_66, negated_conjecture,
% 1.28/1.32 (( ~( hskp23 ) ) | ( ~( c3_1 @ a1044 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause90])).
% 1.28/1.32 thf(zip_derived_cl89, plain, ((~ (hskp23) | ~ (c3_1 @ a1044))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_66])).
% 1.28/1.32 thf(zip_derived_cl379, plain, ((~ (c3_1 @ a1044)) <= (~ ( (c3_1 @ a1044)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.28/1.32 thf(zip_derived_cl1618, plain,
% 1.28/1.32 (((~ (c0_1 @ a1044) | ~ (c2_1 @ a1044)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1044)) &
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl629, zip_derived_cl379])).
% 1.28/1.32 thf('80', plain,
% 1.28/1.32 (~ (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1044)) | ~ ( (c0_1 @ a1044)) | ( (c3_1 @ a1044))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1618])).
% 1.28/1.32 thf(zip_derived_cl522, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.28/1.32 thf(zip_derived_cl379, plain, ((~ (c3_1 @ a1044)) <= (~ ( (c3_1 @ a1044)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.28/1.32 thf(zip_derived_cl1490, plain,
% 1.28/1.32 (((~ (c1_1 @ a1044) | ~ (c2_1 @ a1044)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1044)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl522, zip_derived_cl379])).
% 1.28/1.32 thf('81', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c2_1 @ a1044)) | ~ ( (c1_1 @ a1044)) | ( (c3_1 @ a1044))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1490])).
% 1.28/1.32 thf(zip_derived_cl305, plain, (( (c0_1 @ a1044)) <= (( (c0_1 @ a1044)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.28/1.32 thf(zip_derived_cl526, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.28/1.32 thf(zip_derived_cl799, plain,
% 1.28/1.32 (((~ (c2_1 @ a1044) | ~ (c1_1 @ a1044)))
% 1.28/1.32 <= (( (c0_1 @ a1044)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl305, zip_derived_cl526])).
% 1.28/1.32 thf('82', plain,
% 1.28/1.32 (~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | ~ (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c2_1 @ a1044)) | ~ ( (c1_1 @ a1044)) | ~ ( (c0_1 @ a1044))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl799])).
% 1.28/1.32 thf(clause139, conjecture,
% 1.28/1.32 (~( ( hskp25 ) | ( hskp3 ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_67, negated_conjecture,
% 1.28/1.32 (( hskp25 ) | ( hskp3 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause139])).
% 1.28/1.32 thf(zip_derived_cl138, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp25)
% 1.28/1.32 | (hskp3)
% 1.28/1.32 | (c3_1 @ X0)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_67])).
% 1.28/1.32 thf(zip_derived_cl494, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl138])).
% 1.28/1.32 thf(zip_derived_cl379, plain, ((~ (c3_1 @ a1044)) <= (~ ( (c3_1 @ a1044)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.28/1.32 thf(zip_derived_cl1419, plain,
% 1.28/1.32 (((~ (c0_1 @ a1044) | (c2_1 @ a1044)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1044)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl494, zip_derived_cl379])).
% 1.28/1.32 thf('83', plain,
% 1.28/1.32 (( (c2_1 @ a1044)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ( (c3_1 @ a1044)) | ~ ( (c0_1 @ a1044))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1419])).
% 1.28/1.32 thf('84', plain, (( (c0_1 @ a1044)) | ~ ( (hskp23))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.28/1.32 thf(clause54, conjecture, (~( ( c1_1 @ a1044 ) | ( ~( hskp23 ) ) ))).
% 1.28/1.32 thf(zf_stmt_68, negated_conjecture, (( c1_1 @ a1044 ) | ( ~( hskp23 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause54])).
% 1.28/1.32 thf(zip_derived_cl53, plain, (( (c1_1 @ a1044) | ~ (hskp23))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_68])).
% 1.28/1.32 thf('85', plain, (( (c1_1 @ a1044)) | ~ ( (hskp23))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl53])).
% 1.28/1.32 thf('86', plain, (~ ( (c3_1 @ a1044)) | ~ ( (hskp23))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl89])).
% 1.28/1.32 thf(clause143, conjecture,
% 1.28/1.32 (~( ( hskp3 ) | ( hskp23 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_69, negated_conjecture,
% 1.28/1.32 (( hskp3 ) | ( hskp23 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause143])).
% 1.28/1.32 thf(zip_derived_cl142, plain,
% 1.28/1.32 (![X0 : $i]:
% 1.28/1.32 ( (hskp3)
% 1.28/1.32 | (hskp23)
% 1.28/1.32 | (c2_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_69])).
% 1.28/1.32 thf('87', plain,
% 1.28/1.32 (( (hskp23)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ( (hskp3)) | ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl142])).
% 1.28/1.32 thf(clause63, conjecture, (~( ( c0_1 @ a1025 ) | ( ~( hskp14 ) ) ))).
% 1.28/1.32 thf(zf_stmt_70, negated_conjecture, (( c0_1 @ a1025 ) | ( ~( hskp14 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause63])).
% 1.28/1.32 thf(zip_derived_cl62, plain, (( (c0_1 @ a1025) | ~ (hskp14))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_70])).
% 1.28/1.32 thf('88', plain, (( (c0_1 @ a1025)) | ~ ( (hskp14))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl62])).
% 1.28/1.32 thf(clause107, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c2_1 @ a1025 ) ) ))).
% 1.28/1.32 thf(zf_stmt_71, negated_conjecture,
% 1.28/1.32 (( ~( hskp14 ) ) | ( ~( c2_1 @ a1025 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause107])).
% 1.28/1.32 thf(zip_derived_cl106, plain, ((~ (hskp14) | ~ (c2_1 @ a1025))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_71])).
% 1.28/1.32 thf('89', plain, (~ ( (c2_1 @ a1025)) | ~ ( (hskp14))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl106])).
% 1.28/1.32 thf(clause108, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c3_1 @ a1025 ) ) ))).
% 1.28/1.32 thf(zf_stmt_72, negated_conjecture,
% 1.28/1.32 (( ~( hskp14 ) ) | ( ~( c3_1 @ a1025 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause108])).
% 1.28/1.32 thf(zip_derived_cl107, plain, ((~ (hskp14) | ~ (c3_1 @ a1025))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_72])).
% 1.28/1.32 thf('90', plain, (~ ( (c3_1 @ a1025)) | ~ ( (hskp14))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl107])).
% 1.28/1.32 thf(zip_derived_cl494, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl138])).
% 1.28/1.32 thf(zip_derived_cl415, plain, ((~ (c3_1 @ a1025)) <= (~ ( (c3_1 @ a1025)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl107])).
% 1.28/1.32 thf(zip_derived_cl1422, plain,
% 1.28/1.32 (((~ (c0_1 @ a1025) | (c2_1 @ a1025)))
% 1.28/1.32 <= (~ ( (c3_1 @ a1025)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl494, zip_derived_cl415])).
% 1.28/1.32 thf('91', plain,
% 1.28/1.32 (( (c2_1 @ a1025)) | ( (c3_1 @ a1025)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c0_1 @ a1025))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1422])).
% 1.28/1.32 thf('92', plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0))) |
% 1.28/1.32 ( (hskp3)) | ~ ( (ndr1_0)) | ( (hskp25))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl138])).
% 1.28/1.32 thf(clause46, conjecture, (~( ( c0_1 @ a1029 ) | ( ~( hskp27 ) ) ))).
% 1.28/1.32 thf(zf_stmt_73, negated_conjecture, (( c0_1 @ a1029 ) | ( ~( hskp27 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause46])).
% 1.28/1.32 thf(zip_derived_cl45, plain, (( (c0_1 @ a1029) | ~ (hskp27))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_73])).
% 1.28/1.32 thf('93', plain, (~ ( (hskp27)) | ( (c0_1 @ a1029))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.28/1.32 thf(clause47, conjecture, (~( ( c2_1 @ a1029 ) | ( ~( hskp27 ) ) ))).
% 1.28/1.32 thf(zf_stmt_74, negated_conjecture, (( c2_1 @ a1029 ) | ( ~( hskp27 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause47])).
% 1.28/1.32 thf(zip_derived_cl46, plain, (( (c2_1 @ a1029) | ~ (hskp27))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_74])).
% 1.28/1.32 thf('94', plain, (~ ( (hskp27)) | ( (c2_1 @ a1029))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl46])).
% 1.28/1.32 thf(clause48, conjecture, (~( ( c3_1 @ a1029 ) | ( ~( hskp27 ) ) ))).
% 1.28/1.32 thf(zf_stmt_75, negated_conjecture, (( c3_1 @ a1029 ) | ( ~( hskp27 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause48])).
% 1.28/1.32 thf(zip_derived_cl47, plain, (( (c3_1 @ a1029) | ~ (hskp27))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_75])).
% 1.28/1.32 thf('95', plain, (~ ( (hskp27)) | ( (c3_1 @ a1029))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl47])).
% 1.28/1.32 thf(zip_derived_cl295, plain, (( (c3_1 @ a1029)) <= (( (c3_1 @ a1029)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl47])).
% 1.28/1.32 thf(zip_derived_cl533, plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl148])).
% 1.28/1.32 thf(zip_derived_cl775, plain,
% 1.28/1.32 (((~ (c2_1 @ a1029) | ~ (c0_1 @ a1029)))
% 1.28/1.32 <= (( (c3_1 @ a1029)) &
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl533])).
% 1.28/1.32 thf('96', plain,
% 1.28/1.32 (~ ( (c3_1 @ a1029)) | ~ ( (c0_1 @ a1029)) |
% 1.28/1.32 ~ (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (c2_1 @ a1029))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl775])).
% 1.28/1.32 thf('97', plain,
% 1.28/1.32 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ( (hskp3)) | ~ ( (ndr1_0)) | ( (hskp24))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl148])).
% 1.28/1.32 thf(clause39, conjecture, (~( ( hskp19 ) | ( hskp25 ) | ( hskp24 ) ))).
% 1.28/1.32 thf(zf_stmt_76, negated_conjecture, (( hskp19 ) | ( hskp25 ) | ( hskp24 )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause39])).
% 1.28/1.32 thf(zip_derived_cl38, plain, (( (hskp19) | (hskp25) | (hskp24))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_76])).
% 1.28/1.32 thf('98', plain, (( (hskp19)) | ( (hskp24)) | ( (hskp25))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.28/1.32 thf(clause11, conjecture, (~( ( ndr1_0 ) | ( ~( hskp19 ) ) ))).
% 1.28/1.32 thf(zf_stmt_77, negated_conjecture, (( ndr1_0 ) | ( ~( hskp19 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause11])).
% 1.28/1.32 thf(zip_derived_cl10, plain, (( (ndr1_0) | ~ (hskp19))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_77])).
% 1.28/1.32 thf('99', plain, (( (ndr1_0)) | ~ ( (hskp19))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.28/1.32 thf(zip_derived_cl597, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.28/1.32 thf(clause89, conjecture, (~( ( ~( hskp24 ) ) | ( ~( c0_1 @ a1045 ) ) ))).
% 1.28/1.32 thf(zf_stmt_78, negated_conjecture,
% 1.28/1.32 (( ~( hskp24 ) ) | ( ~( c0_1 @ a1045 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause89])).
% 1.28/1.32 thf(zip_derived_cl88, plain, ((~ (hskp24) | ~ (c0_1 @ a1045))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_78])).
% 1.28/1.32 thf(zip_derived_cl377, plain, ((~ (c0_1 @ a1045)) <= (~ ( (c0_1 @ a1045)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl88])).
% 1.28/1.32 thf(zip_derived_cl1523, plain,
% 1.28/1.32 (((~ (c1_1 @ a1045) | ~ (c2_1 @ a1045)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1045)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl377])).
% 1.28/1.32 thf('100', plain,
% 1.28/1.32 (~ ( (c2_1 @ a1045)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ( (c0_1 @ a1045)) | ~ ( (c1_1 @ a1045))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1523])).
% 1.28/1.32 thf(zip_derived_cl597, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.28/1.32 thf(clause87, conjecture, (~( ( ~( hskp25 ) ) | ( ~( c0_1 @ a1048 ) ) ))).
% 1.28/1.32 thf(zf_stmt_79, negated_conjecture,
% 1.28/1.32 (( ~( hskp25 ) ) | ( ~( c0_1 @ a1048 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause87])).
% 1.28/1.32 thf(zip_derived_cl86, plain, ((~ (hskp25) | ~ (c0_1 @ a1048))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_79])).
% 1.28/1.32 thf(zip_derived_cl373, plain, ((~ (c0_1 @ a1048)) <= (~ ( (c0_1 @ a1048)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl86])).
% 1.28/1.32 thf(zip_derived_cl1522, plain,
% 1.28/1.32 (((~ (c1_1 @ a1048) | ~ (c2_1 @ a1048)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1048)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl373])).
% 1.28/1.32 thf('101', plain,
% 1.28/1.32 (~ ( (c2_1 @ a1048)) | ( (c0_1 @ a1048)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c1_1 @ a1048))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1522])).
% 1.28/1.32 thf(clause50, conjecture, (~( ( c1_1 @ a1048 ) | ( ~( hskp25 ) ) ))).
% 1.28/1.32 thf(zf_stmt_80, negated_conjecture, (( c1_1 @ a1048 ) | ( ~( hskp25 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause50])).
% 1.28/1.32 thf(zip_derived_cl49, plain, (( (c1_1 @ a1048) | ~ (hskp25))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_80])).
% 1.28/1.32 thf('102', plain, (( (c1_1 @ a1048)) | ~ ( (hskp25))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.28/1.32 thf('103', plain, (~ ( (c0_1 @ a1048)) | ~ ( (hskp25))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl86])).
% 1.28/1.32 thf(zip_derived_cl463, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl130])).
% 1.28/1.32 thf(zip_derived_cl373, plain, ((~ (c0_1 @ a1048)) <= (~ ( (c0_1 @ a1048)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl86])).
% 1.28/1.32 thf(zip_derived_cl997, plain,
% 1.28/1.32 (((~ (c1_1 @ a1048) | (c2_1 @ a1048)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1048)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl373])).
% 1.28/1.32 thf('104', plain,
% 1.28/1.32 (( (c2_1 @ a1048)) | ( (c0_1 @ a1048)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1048))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl997])).
% 1.28/1.32 thf(clause102, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c0_1 @ a1032 ) ) ))).
% 1.28/1.32 thf(zf_stmt_81, negated_conjecture,
% 1.28/1.32 (( ~( hskp17 ) ) | ( ~( c0_1 @ a1032 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause102])).
% 1.28/1.32 thf(zip_derived_cl101, plain, ((~ (hskp17) | ~ (c0_1 @ a1032))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_81])).
% 1.28/1.32 thf('105', plain, (~ ( (c0_1 @ a1032)) | ~ ( (hskp17))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl101])).
% 1.28/1.32 thf(zip_derived_cl597, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl164])).
% 1.28/1.32 thf(zip_derived_cl403, plain, ((~ (c0_1 @ a1032)) <= (~ ( (c0_1 @ a1032)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl101])).
% 1.28/1.32 thf(zip_derived_cl1526, plain,
% 1.28/1.32 (((~ (c1_1 @ a1032) | ~ (c2_1 @ a1032)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1032)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl403])).
% 1.28/1.32 thf('106', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c1_1 @ a1032)) | ( (c0_1 @ a1032)) | ~ ( (c2_1 @ a1032))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1526])).
% 1.28/1.32 thf(clause59, conjecture, (~( ( c2_1 @ a1032 ) | ( ~( hskp17 ) ) ))).
% 1.28/1.32 thf(zf_stmt_82, negated_conjecture, (( c2_1 @ a1032 ) | ( ~( hskp17 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause59])).
% 1.28/1.32 thf(zip_derived_cl58, plain, (( (c2_1 @ a1032) | ~ (hskp17))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_82])).
% 1.28/1.32 thf('107', plain, (( (c2_1 @ a1032)) | ~ ( (hskp17))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl58])).
% 1.28/1.32 thf('108', plain, (( (c3_1 @ a1032)) | ~ ( (hskp17))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.28/1.32 thf(zip_derived_cl510, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl142])).
% 1.28/1.32 thf(zip_derived_cl343, plain, (( (c3_1 @ a1010)) <= (( (c3_1 @ a1010)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl71])).
% 1.28/1.32 thf(zip_derived_cl1031, plain,
% 1.28/1.32 (((~ (c0_1 @ a1010) | (c2_1 @ a1010)))
% 1.28/1.32 <= (( (c3_1 @ a1010)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl510, zip_derived_cl343])).
% 1.28/1.32 thf('109', plain,
% 1.28/1.32 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ( (c2_1 @ a1010)) | ~ ( (c3_1 @ a1010)) | ~ ( (c0_1 @ a1010))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1031])).
% 1.28/1.32 thf(clause79, conjecture, (~( ( c0_1 @ a1002 ) | ( ~( hskp2 ) ) ))).
% 1.28/1.32 thf(zf_stmt_83, negated_conjecture, (( c0_1 @ a1002 ) | ( ~( hskp2 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause79])).
% 1.28/1.32 thf(zip_derived_cl78, plain, (( (c0_1 @ a1002) | ~ (hskp2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_83])).
% 1.28/1.32 thf('110', plain, (( (c0_1 @ a1002)) | ~ ( (hskp2))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl78])).
% 1.28/1.32 thf(clause80, conjecture, (~( ( c2_1 @ a1002 ) | ( ~( hskp2 ) ) ))).
% 1.28/1.32 thf(zf_stmt_84, negated_conjecture, (( c2_1 @ a1002 ) | ( ~( hskp2 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause80])).
% 1.28/1.32 thf(zip_derived_cl79, plain, (( (c2_1 @ a1002) | ~ (hskp2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_84])).
% 1.28/1.32 thf('111', plain, (( (c2_1 @ a1002)) | ~ ( (hskp2))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl79])).
% 1.28/1.32 thf(clause127, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c1_1 @ a1002 ) ) ))).
% 1.28/1.32 thf(zf_stmt_85, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c1_1 @ a1002 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause127])).
% 1.28/1.32 thf(zip_derived_cl126, plain, ((~ (hskp2) | ~ (c1_1 @ a1002))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_85])).
% 1.28/1.32 thf('112', plain, (~ ( (c1_1 @ a1002)) | ~ ( (hskp2))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl126])).
% 1.28/1.32 thf(zip_derived_cl577, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.28/1.32 thf(zip_derived_cl357, plain, (( (c0_1 @ a1002)) <= (( (c0_1 @ a1002)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl78])).
% 1.28/1.32 thf(zip_derived_cl1101, plain,
% 1.28/1.32 ((( (c1_1 @ a1002) | ~ (c2_1 @ a1002)))
% 1.28/1.32 <= (( (c0_1 @ a1002)) &
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl357])).
% 1.28/1.32 thf('113', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1002)) | ( (c1_1 @ a1002)) | ~ ( (c0_1 @ a1002))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1101])).
% 1.28/1.32 thf(clause52, conjecture, (~( ( c3_1 @ a1045 ) | ( ~( hskp24 ) ) ))).
% 1.28/1.32 thf(zf_stmt_86, negated_conjecture, (( c3_1 @ a1045 ) | ( ~( hskp24 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause52])).
% 1.28/1.32 thf(zip_derived_cl51, plain, (( (c3_1 @ a1045) | ~ (hskp24))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_86])).
% 1.28/1.32 thf(zip_derived_cl303, plain, (( (c3_1 @ a1045)) <= (( (c3_1 @ a1045)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.28/1.32 thf(clause188, conjecture,
% 1.28/1.32 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 1.28/1.32 ( ~( c1_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_87, negated_conjecture,
% 1.28/1.32 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 1.28/1.32 ( ~( c1_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause188])).
% 1.28/1.32 thf(zip_derived_cl187, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.32 ( (c3_1 @ X0)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c2_1 @ X1)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X2)
% 1.28/1.32 | ~ (c2_1 @ X2)
% 1.28/1.32 | ~ (c1_1 @ X2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_87])).
% 1.28/1.32 thf(zip_derived_cl689, plain,
% 1.28/1.32 ((![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2)))
% 1.28/1.32 <= ((![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl187])).
% 1.28/1.32 thf(zip_derived_cl796, plain,
% 1.28/1.32 (((~ (c2_1 @ a1045) | ~ (c1_1 @ a1045)))
% 1.28/1.32 <= (( (c3_1 @ a1045)) &
% 1.28/1.32 (![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl303, zip_derived_cl689])).
% 1.28/1.32 thf('114', plain,
% 1.28/1.32 (~ ( (c2_1 @ a1045)) |
% 1.28/1.32 ~ (![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))) |
% 1.28/1.32 ~ ( (c3_1 @ a1045)) | ~ ( (c1_1 @ a1045))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl796])).
% 1.28/1.32 thf(zip_derived_cl557, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl154])).
% 1.28/1.32 thf(zip_derived_cl303, plain, (( (c3_1 @ a1045)) <= (( (c3_1 @ a1045)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.28/1.32 thf(zip_derived_cl1070, plain,
% 1.28/1.32 ((( (c0_1 @ a1045) | ~ (c2_1 @ a1045)))
% 1.28/1.32 <= (( (c3_1 @ a1045)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl557, zip_derived_cl303])).
% 1.28/1.32 thf('115', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c2_1 @ a1045)) | ~ ( (c3_1 @ a1045)) | ( (c0_1 @ a1045))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1070])).
% 1.28/1.32 thf(zip_derived_cl601, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl165])).
% 1.28/1.32 thf(zip_derived_cl303, plain, (( (c3_1 @ a1045)) <= (( (c3_1 @ a1045)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.28/1.32 thf(zip_derived_cl1140, plain,
% 1.28/1.32 ((( (c0_1 @ a1045) | ~ (c1_1 @ a1045)))
% 1.28/1.32 <= (( (c3_1 @ a1045)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl303])).
% 1.28/1.32 thf('116', plain,
% 1.28/1.32 (~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (c3_1 @ a1045)) | ~ ( (c1_1 @ a1045)) | ( (c0_1 @ a1045))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1140])).
% 1.28/1.32 thf(zip_derived_cl463, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl130])).
% 1.28/1.32 thf(zip_derived_cl377, plain, ((~ (c0_1 @ a1045)) <= (~ ( (c0_1 @ a1045)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl88])).
% 1.28/1.32 thf(zip_derived_cl998, plain,
% 1.28/1.32 (((~ (c1_1 @ a1045) | (c2_1 @ a1045)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1045)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl377])).
% 1.28/1.32 thf('117', plain,
% 1.28/1.32 (~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ( (c2_1 @ a1045)) | ( (c0_1 @ a1045)) | ~ ( (c1_1 @ a1045))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl998])).
% 1.28/1.32 thf(clause51, conjecture, (~( ( c1_1 @ a1045 ) | ( ~( hskp24 ) ) ))).
% 1.28/1.32 thf(zf_stmt_88, negated_conjecture, (( c1_1 @ a1045 ) | ( ~( hskp24 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause51])).
% 1.28/1.32 thf(zip_derived_cl50, plain, (( (c1_1 @ a1045) | ~ (hskp24))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_88])).
% 1.28/1.32 thf('118', plain, (( (c1_1 @ a1045)) | ~ ( (hskp24))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl50])).
% 1.28/1.32 thf('119', plain, (( (c3_1 @ a1045)) | ~ ( (hskp24))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.28/1.32 thf('120', plain, (~ ( (c0_1 @ a1045)) | ~ ( (hskp24))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl88])).
% 1.28/1.32 thf(clause78, conjecture, (~( ( c1_1 @ a1003 ) | ( ~( hskp3 ) ) ))).
% 1.28/1.32 thf(zf_stmt_89, negated_conjecture, (( c1_1 @ a1003 ) | ( ~( hskp3 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause78])).
% 1.28/1.32 thf(zip_derived_cl77, plain, (( (c1_1 @ a1003) | ~ (hskp3))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_89])).
% 1.28/1.32 thf('121', plain, (( (c1_1 @ a1003)) | ~ ( (hskp3))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl77])).
% 1.28/1.32 thf(clause125, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c0_1 @ a1003 ) ) ))).
% 1.28/1.32 thf(zf_stmt_90, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c0_1 @ a1003 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause125])).
% 1.28/1.32 thf(zip_derived_cl124, plain, ((~ (hskp3) | ~ (c0_1 @ a1003))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_90])).
% 1.28/1.32 thf('122', plain, (~ ( (c0_1 @ a1003)) | ~ ( (hskp3))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl124])).
% 1.28/1.32 thf(clause126, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c2_1 @ a1003 ) ) ))).
% 1.28/1.32 thf(zf_stmt_91, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c2_1 @ a1003 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause126])).
% 1.28/1.32 thf(zip_derived_cl125, plain, ((~ (hskp3) | ~ (c2_1 @ a1003))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_91])).
% 1.28/1.32 thf('123', plain, (~ ( (c2_1 @ a1003)) | ~ ( (hskp3))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl125])).
% 1.28/1.32 thf(zip_derived_cl463, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl130])).
% 1.28/1.32 thf(zip_derived_cl449, plain, ((~ (c0_1 @ a1003)) <= (~ ( (c0_1 @ a1003)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl124])).
% 1.28/1.32 thf(zip_derived_cl1006, plain,
% 1.28/1.32 (((~ (c1_1 @ a1003) | (c2_1 @ a1003)))
% 1.28/1.32 <= (~ ( (c0_1 @ a1003)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl449])).
% 1.28/1.32 thf('124', plain,
% 1.28/1.32 (( (c0_1 @ a1003)) | ( (c2_1 @ a1003)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 ~ ( (c1_1 @ a1003))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1006])).
% 1.28/1.32 thf(clause177, conjecture,
% 1.28/1.32 (~( ( hskp14 ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_92, negated_conjecture,
% 1.28/1.32 (( hskp14 ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c0_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause177])).
% 1.28/1.32 thf(zip_derived_cl176, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp14)
% 1.28/1.32 | (c0_1 @ X0)
% 1.28/1.32 | (c2_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_92])).
% 1.28/1.32 thf('125', plain,
% 1.28/1.32 (( (hskp14)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl176])).
% 1.28/1.32 thf(clause18, conjecture, (~( ( ndr1_0 ) | ( ~( hskp12 ) ) ))).
% 1.28/1.32 thf(zf_stmt_93, negated_conjecture, (( ndr1_0 ) | ( ~( hskp12 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause18])).
% 1.28/1.32 thf(zip_derived_cl17, plain, (( (ndr1_0) | ~ (hskp12))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_93])).
% 1.28/1.32 thf('126', plain, (~ ( (hskp12)) | ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.28/1.32 thf(clause1, conjecture, (~( ( ndr1_0 ) | ( ~( hskp29 ) ) ))).
% 1.28/1.32 thf(zf_stmt_94, negated_conjecture, (( ndr1_0 ) | ( ~( hskp29 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause1])).
% 1.28/1.32 thf(zip_derived_cl0, plain, (( (ndr1_0) | ~ (hskp29))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_94])).
% 1.28/1.32 thf('127', plain, (~ ( (hskp29)) | ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.28/1.32 thf(clause25, conjecture, (~( ( ndr1_0 ) | ( ~( hskp5 ) ) ))).
% 1.28/1.32 thf(zf_stmt_95, negated_conjecture, (( ndr1_0 ) | ( ~( hskp5 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause25])).
% 1.28/1.32 thf(zip_derived_cl24, plain, (( (ndr1_0) | ~ (hskp5))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_95])).
% 1.28/1.32 thf('128', plain, (~ ( (hskp5)) | ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl24])).
% 1.28/1.32 thf(clause32, conjecture, (~( ( hskp5 ) | ( hskp12 ) | ( hskp29 ) ))).
% 1.28/1.32 thf(zf_stmt_96, negated_conjecture, (( hskp5 ) | ( hskp12 ) | ( hskp29 )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause32])).
% 1.28/1.32 thf(zip_derived_cl31, plain, (( (hskp5) | (hskp12) | (hskp29))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_96])).
% 1.28/1.32 thf('129', plain, (( (hskp5)) | ( (hskp29)) | ( (hskp12))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl31])).
% 1.28/1.32 thf(clause35, conjecture, (~( ( hskp14 ) | ( hskp6 ) | ( hskp27 ) ))).
% 1.28/1.32 thf(zf_stmt_97, negated_conjecture, (( hskp14 ) | ( hskp6 ) | ( hskp27 )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause35])).
% 1.28/1.32 thf(zip_derived_cl34, plain, (( (hskp14) | (hskp6) | (hskp27))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_97])).
% 1.28/1.32 thf('130', plain, (( (hskp14)) | ( (hskp27)) | ( (hskp6))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl34])).
% 1.28/1.32 thf(clause74, conjecture, (~( ( c0_1 @ a1006 ) | ( ~( hskp6 ) ) ))).
% 1.28/1.32 thf(zf_stmt_98, negated_conjecture, (( c0_1 @ a1006 ) | ( ~( hskp6 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause74])).
% 1.28/1.32 thf(zip_derived_cl73, plain, (( (c0_1 @ a1006) | ~ (hskp6))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_98])).
% 1.28/1.32 thf('131', plain, (( (c0_1 @ a1006)) | ~ ( (hskp6))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl73])).
% 1.28/1.32 thf(clause75, conjecture, (~( ( c3_1 @ a1006 ) | ( ~( hskp6 ) ) ))).
% 1.28/1.32 thf(zf_stmt_99, negated_conjecture, (( c3_1 @ a1006 ) | ( ~( hskp6 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause75])).
% 1.28/1.32 thf(zip_derived_cl74, plain, (( (c3_1 @ a1006) | ~ (hskp6))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_99])).
% 1.28/1.32 thf('132', plain, (( (c3_1 @ a1006)) | ~ ( (hskp6))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl74])).
% 1.28/1.32 thf(clause120, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c2_1 @ a1006 ) ) ))).
% 1.28/1.32 thf(zf_stmt_100, negated_conjecture,
% 1.28/1.32 (( ~( hskp6 ) ) | ( ~( c2_1 @ a1006 ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause120])).
% 1.28/1.32 thf(zip_derived_cl119, plain, ((~ (hskp6) | ~ (c2_1 @ a1006))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_100])).
% 1.28/1.32 thf('133', plain, (~ ( (c2_1 @ a1006)) | ~ ( (hskp6))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl119])).
% 1.28/1.32 thf(zip_derived_cl510, plain,
% 1.28/1.32 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 1.28/1.32 <= ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl142])).
% 1.28/1.32 thf(zip_derived_cl349, plain, (( (c3_1 @ a1006)) <= (( (c3_1 @ a1006)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl74])).
% 1.28/1.32 thf(zip_derived_cl1032, plain,
% 1.28/1.32 (((~ (c0_1 @ a1006) | (c2_1 @ a1006)))
% 1.28/1.32 <= (( (c3_1 @ a1006)) &
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl510, zip_derived_cl349])).
% 1.28/1.32 thf('134', plain,
% 1.28/1.32 (~ ( (c0_1 @ a1006)) | ~ ( (c3_1 @ a1006)) |
% 1.28/1.32 ~ (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ( (c2_1 @ a1006))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1032])).
% 1.28/1.32 thf('135', plain,
% 1.28/1.32 (( (hskp8)) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 1.28/1.32 (![X1 : $i]: ( (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl157])).
% 1.28/1.32 thf('136', plain, (( (c0_1 @ a1010)) | ~ ( (hskp8))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl70])).
% 1.28/1.32 thf(clause179, conjecture,
% 1.28/1.32 (~( ( hskp6 ) | ( c1_1 @ V ) | ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_101, negated_conjecture,
% 1.28/1.32 (( hskp6 ) | ( c1_1 @ V ) | ( c1_1 @ U ) | ( ~( c2_1 @ V ) ) |
% 1.28/1.32 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 1.28/1.32 ( ~( c2_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause179])).
% 1.28/1.32 thf(zip_derived_cl178, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i]:
% 1.28/1.32 ( (hskp6)
% 1.28/1.32 | (c1_1 @ X0)
% 1.28/1.32 | (c1_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c0_1 @ X0)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X1))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_101])).
% 1.28/1.32 thf('137', plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 ( (hskp6)) |
% 1.28/1.32 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl178])).
% 1.28/1.32 thf(clause190, conjecture,
% 1.28/1.32 (~( ( c1_1 @ W ) | ( c2_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ W ) ) |
% 1.28/1.32 ( ~( c2_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_102, negated_conjecture,
% 1.28/1.32 (( c1_1 @ W ) | ( c2_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ W ) ) |
% 1.28/1.32 ( ~( c2_1 @ W ) ) | ( ~( c3_1 @ V ) ) | ( ~( c0_1 @ V ) ) |
% 1.28/1.32 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause190])).
% 1.28/1.32 thf(zip_derived_cl189, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.32 ( (c1_1 @ X0)
% 1.28/1.32 | (c2_1 @ X1)
% 1.28/1.32 | (c3_1 @ X2)
% 1.28/1.32 | ~ (c3_1 @ X0)
% 1.28/1.32 | ~ (c2_1 @ X0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c0_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c2_1 @ X2)
% 1.28/1.32 | ~ (c1_1 @ X2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_102])).
% 1.28/1.32 thf('138', plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 (![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0))) |
% 1.28/1.32 ~ ( (ndr1_0)) |
% 1.28/1.32 (![X0 : $i]: (~ (c2_1 @ X0) | ~ (c1_1 @ X0) | (c3_1 @ X0)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl189])).
% 1.28/1.32 thf(zip_derived_cl641, plain,
% 1.28/1.32 ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1)))
% 1.28/1.32 <= ((![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl175])).
% 1.28/1.32 thf(zip_derived_cl319, plain, (( (c3_1 @ a1032)) <= (( (c3_1 @ a1032)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.28/1.32 thf(zip_derived_cl1216, plain,
% 1.28/1.32 ((( (c1_1 @ a1032) | ~ (c2_1 @ a1032)))
% 1.28/1.32 <= (( (c3_1 @ a1032)) &
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 1.28/1.32 inference('s_sup+', [status(thm)], [zip_derived_cl641, zip_derived_cl319])).
% 1.28/1.32 thf('139', plain,
% 1.28/1.32 (( (c1_1 @ a1032)) |
% 1.28/1.32 ~ (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 1.28/1.32 ~ ( (c3_1 @ a1032)) | ~ ( (c2_1 @ a1032))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl1216])).
% 1.28/1.32 thf(zip_derived_cl319, plain, (( (c3_1 @ a1032)) <= (( (c3_1 @ a1032)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl59])).
% 1.28/1.32 thf(zip_derived_cl689, plain,
% 1.28/1.32 ((![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2)))
% 1.28/1.32 <= ((![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl187])).
% 1.28/1.32 thf(zip_derived_cl818, plain,
% 1.28/1.32 (((~ (c2_1 @ a1032) | ~ (c1_1 @ a1032)))
% 1.28/1.32 <= (( (c3_1 @ a1032)) &
% 1.28/1.32 (![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))))),
% 1.28/1.32 inference('s_sup-', [status(thm)], [zip_derived_cl319, zip_derived_cl689])).
% 1.28/1.32 thf('140', plain,
% 1.28/1.32 (~ (![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))) |
% 1.28/1.32 ~ ( (c1_1 @ a1032)) | ~ ( (c3_1 @ a1032)) | ~ ( (c2_1 @ a1032))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl818])).
% 1.28/1.32 thf(clause191, conjecture,
% 1.28/1.32 (~( ( c0_1 @ W ) | ( c0_1 @ V ) | ( ~( c3_1 @ W ) ) | ( ~( c1_1 @ W ) ) |
% 1.28/1.32 ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 1.28/1.32 thf(zf_stmt_103, negated_conjecture,
% 1.28/1.32 (( c0_1 @ W ) | ( c0_1 @ V ) | ( ~( c3_1 @ W ) ) | ( ~( c1_1 @ W ) ) |
% 1.28/1.32 ( ~( c3_1 @ V ) ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 1.28/1.32 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 1.28/1.32 inference('cnf.neg', [status(esa)], [clause191])).
% 1.28/1.32 thf(zip_derived_cl190, plain,
% 1.28/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/1.32 ( (c0_1 @ X0)
% 1.28/1.32 | (c0_1 @ X1)
% 1.28/1.32 | ~ (c3_1 @ X0)
% 1.28/1.32 | ~ (c1_1 @ X0)
% 1.28/1.32 | ~ (c3_1 @ X1)
% 1.28/1.32 | ~ (c2_1 @ X1)
% 1.28/1.32 | ~ (ndr1_0)
% 1.28/1.32 | ~ (c3_1 @ X2)
% 1.28/1.32 | ~ (c2_1 @ X2)
% 1.28/1.32 | ~ (c1_1 @ X2))),
% 1.28/1.32 inference('cnf', [status(esa)], [zf_stmt_103])).
% 1.28/1.32 thf('141', plain,
% 1.28/1.32 ((![X2 : $i]: (~ (c3_1 @ X2) | ~ (c2_1 @ X2) | ~ (c1_1 @ X2))) |
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c1_1 @ X1) | (c0_1 @ X1))) |
% 1.28/1.32 ~ ( (ndr1_0)) |
% 1.28/1.32 (![X1 : $i]: (~ (c3_1 @ X1) | ~ (c2_1 @ X1) | (c0_1 @ X1)))),
% 1.28/1.32 inference('split', [status(esa)], [zip_derived_cl190])).
% 1.28/1.32 thf(zip_derived_cl4813, plain, ($false),
% 1.28/1.32 inference('sat_resolution*', [status(thm)],
% 1.28/1.32 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.28/1.32 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.28/1.32 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 1.28/1.32 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 1.28/1.32 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 1.28/1.32 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 1.28/1.32 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 1.28/1.32 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 1.28/1.32 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 1.28/1.32 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 1.28/1.32 '102', '103', '104', '105', '106', '107', '108', '109',
% 1.28/1.32 '110', '111', '112', '113', '114', '115', '116', '117',
% 1.28/1.32 '118', '119', '120', '121', '122', '123', '124', '125',
% 1.28/1.32 '126', '127', '128', '129', '130', '131', '132', '133',
% 1.28/1.32 '134', '135', '136', '137', '138', '139', '140', '141'])).
% 1.28/1.32
% 1.28/1.32 % SZS output end Refutation
% 1.28/1.32
% 1.28/1.32
% 1.28/1.33 % Terminating...
% 1.85/1.43 % Runner terminated.
% 1.85/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------