%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN436-1 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dHANK0SQvn true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:04:49 PM UTC 2025
% Result : Unsatisfiable 37.25s 5.85s
% Output : Refutation 37.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SYN436-1 : TPTP v9.2.0. Released v2.1.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dHANK0SQvn true
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:40:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.45/0.55 % Total configuration time : 435
% 0.45/0.55 % Estimated wc time : 1092
% 0.45/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 37.25/5.85 % Solved by fo/fo1_av.sh.
% 37.25/5.85 % done 5700 iterations in 5.076s
% 37.25/5.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 37.25/5.85 % SZS output start Refutation
% 37.25/5.85 thf(hskp22_type, type, hskp22: $o).
% 37.25/5.85 thf(hskp17_type, type, hskp17: $o).
% 37.25/5.85 thf(hskp14_type, type, hskp14: $o).
% 37.25/5.85 thf(a11_type, type, a11: $i).
% 37.25/5.85 thf(hskp1_type, type, hskp1: $o).
% 37.25/5.85 thf(a7_type, type, a7: $i).
% 37.25/5.85 thf(a45_type, type, a45: $i).
% 37.25/5.85 thf(a2_type, type, a2: $i).
% 37.25/5.85 thf(hskp23_type, type, hskp23: $o).
% 37.25/5.85 thf(hskp8_type, type, hskp8: $o).
% 37.25/5.85 thf(a10_type, type, a10: $i).
% 37.25/5.85 thf(hskp5_type, type, hskp5: $o).
% 37.25/5.85 thf(a53_type, type, a53: $i).
% 37.25/5.85 thf(hskp21_type, type, hskp21: $o).
% 37.25/5.85 thf(a18_type, type, a18: $i).
% 37.25/5.85 thf(hskp12_type, type, hskp12: $o).
% 37.25/5.85 thf(a25_type, type, a25: $i).
% 37.25/5.85 thf(a14_type, type, a14: $i).
% 37.25/5.85 thf(hskp24_type, type, hskp24: $o).
% 37.25/5.85 thf(a6_type, type, a6: $i).
% 37.25/5.85 thf(hskp18_type, type, hskp18: $o).
% 37.25/5.85 thf(hskp0_type, type, hskp0: $o).
% 37.25/5.85 thf(hskp19_type, type, hskp19: $o).
% 37.25/5.85 thf(a15_type, type, a15: $i).
% 37.25/5.85 thf(hskp25_type, type, hskp25: $o).
% 37.25/5.85 thf(hskp3_type, type, hskp3: $o).
% 37.25/5.85 thf(c0_1_type, type, c0_1: $i > $o).
% 37.25/5.85 thf(a21_type, type, a21: $i).
% 37.25/5.85 thf(c3_1_type, type, c3_1: $i > $o).
% 37.25/5.85 thf(a42_type, type, a42: $i).
% 37.25/5.85 thf(hskp2_type, type, hskp2: $o).
% 37.25/5.85 thf(c1_1_type, type, c1_1: $i > $o).
% 37.25/5.85 thf(a31_type, type, a31: $i).
% 37.25/5.85 thf(a16_type, type, a16: $i).
% 37.25/5.85 thf(a22_type, type, a22: $i).
% 37.25/5.85 thf(a37_type, type, a37: $i).
% 37.25/5.85 thf(a3_type, type, a3: $i).
% 37.25/5.85 thf(a33_type, type, a33: $i).
% 37.25/5.85 thf(a19_type, type, a19: $i).
% 37.25/5.85 thf(hskp26_type, type, hskp26: $o).
% 37.25/5.85 thf(a30_type, type, a30: $i).
% 37.25/5.85 thf(hskp6_type, type, hskp6: $o).
% 37.25/5.85 thf(ndr1_0_type, type, ndr1_0: $o).
% 37.25/5.85 thf(a1_type, type, a1: $i).
% 37.25/5.85 thf(hskp4_type, type, hskp4: $o).
% 37.25/5.85 thf(hskp7_type, type, hskp7: $o).
% 37.25/5.85 thf(c2_1_type, type, c2_1: $i > $o).
% 37.25/5.85 thf(hskp27_type, type, hskp27: $o).
% 37.25/5.85 thf(hskp10_type, type, hskp10: $o).
% 37.25/5.85 thf(a32_type, type, a32: $i).
% 37.25/5.85 thf(a4_type, type, a4: $i).
% 37.25/5.85 thf(a24_type, type, a24: $i).
% 37.25/5.85 thf(hskp15_type, type, hskp15: $o).
% 37.25/5.85 thf(a8_type, type, a8: $i).
% 37.25/5.85 thf(a9_type, type, a9: $i).
% 37.25/5.85 thf(hskp16_type, type, hskp16: $o).
% 37.25/5.85 thf(hskp20_type, type, hskp20: $o).
% 37.25/5.85 thf(a5_type, type, a5: $i).
% 37.25/5.85 thf(hskp11_type, type, hskp11: $o).
% 37.25/5.85 thf(hskp9_type, type, hskp9: $o).
% 37.25/5.85 thf(hskp13_type, type, hskp13: $o).
% 37.25/5.85 thf(clause135, conjecture,
% 37.25/5.85 (~( ( hskp24 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 37.25/5.85 ( c3_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_0, negated_conjecture,
% 37.25/5.85 (( hskp24 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause135])).
% 37.25/5.85 thf(zip_derived_cl134, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp24)
% 37.25/5.85 | (c3_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c1_1 @ X1)
% 37.25/5.85 | ~ (c0_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.25/5.85 thf(zip_derived_cl457, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl134])).
% 37.25/5.85 thf(clause67, conjecture, (~( ( c1_1 @ a8 ) | ( ~( hskp6 ) ) ))).
% 37.25/5.85 thf(zf_stmt_1, negated_conjecture, (( c1_1 @ a8 ) | ( ~( hskp6 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause67])).
% 37.25/5.85 thf(zip_derived_cl66, plain, (( (c1_1 @ a8) | ~ (hskp6))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 37.25/5.85 thf(zip_derived_cl289, plain, (( (c1_1 @ a8)) <= (( (c1_1 @ a8)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl66])).
% 37.25/5.85 thf(zip_derived_cl876, plain,
% 37.25/5.85 ((( (c3_1 @ a8) | ~ (c0_1 @ a8)))
% 37.25/5.85 <= (( (c1_1 @ a8)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl289])).
% 37.25/5.85 thf(zip_derived_cl3855, plain, (( (c3_1 @ a8)) <= (( (c3_1 @ a8)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl876])).
% 37.25/5.85 thf(clause128, conjecture,
% 37.25/5.85 (~( ( hskp18 ) | ( hskp17 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_2, negated_conjecture,
% 37.25/5.85 (( hskp18 ) | ( hskp17 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause128])).
% 37.25/5.85 thf(zip_derived_cl127, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp18)
% 37.25/5.85 | (hskp17)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X0)
% 37.25/5.85 | ~ (c0_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.25/5.85 thf(zip_derived_cl430, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.85 thf(zip_derived_cl3858, plain,
% 37.25/5.85 ((( (c2_1 @ a8) | ~ (c0_1 @ a8)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 ( (c3_1 @ a8)))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl3855, zip_derived_cl430])).
% 37.25/5.85 thf('0', plain,
% 37.25/5.85 (~ ( (c3_1 @ a8)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ( (c2_1 @ a8)) | ~ ( (c0_1 @ a8))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl3858])).
% 37.25/5.85 thf(clause148, conjecture,
% 37.25/5.85 (~( ( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( c1_1 @ V ) |
% 37.25/5.85 ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( c2_1 @ W ) ) | ( ~( c0_1 @ V ) ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_3, negated_conjecture,
% 37.25/5.85 (( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( c1_1 @ V ) |
% 37.25/5.85 ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( c2_1 @ W ) ) | ( ~( c0_1 @ V ) ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause148])).
% 37.25/5.85 thf(zip_derived_cl147, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.85 ( (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | (c3_1 @ X2)
% 37.25/5.85 | (c2_1 @ X2)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (c0_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c1_1 @ X2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 37.25/5.85 thf(zip_derived_cl508, plain,
% 37.25/5.85 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2)))
% 37.25/5.85 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl147])).
% 37.25/5.85 thf(clause138, conjecture,
% 37.25/5.85 (~( ( hskp4 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_4, negated_conjecture,
% 37.25/5.85 (( hskp4 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause138])).
% 37.25/5.85 thf(zip_derived_cl137, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp4)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | ~ (c3_1 @ X0)
% 37.25/5.85 | ~ (c1_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c0_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 37.25/5.85 thf(zip_derived_cl469, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl1518, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl469])).
% 37.25/5.85 thf(zip_derived_cl1520, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c0_1 @ X0) | (c2_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1518])).
% 37.25/5.85 thf(clause111, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c3_1 @ a5 ) ) ))).
% 37.25/5.85 thf(zf_stmt_5, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c3_1 @ a5 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause111])).
% 37.25/5.85 thf(zip_derived_cl110, plain, ((~ (hskp3) | ~ (c3_1 @ a5))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 37.25/5.85 thf(zip_derived_cl377, plain, ((~ (c3_1 @ a5)) <= (~ ( (c3_1 @ a5)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl110])).
% 37.25/5.85 thf(zip_derived_cl6760, plain,
% 37.25/5.85 ((( (c2_1 @ a5) | ~ (c0_1 @ a5)))
% 37.25/5.85 <= (~ ( (c3_1 @ a5)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl1520, zip_derived_cl377])).
% 37.25/5.85 thf('1', plain,
% 37.25/5.85 (~ ( (c0_1 @ a5)) |
% 37.25/5.85 ~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c3_1 @ a5)) | ( (c2_1 @ a5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl6760])).
% 37.25/5.85 thf(clause121, conjecture,
% 37.25/5.85 (~( ( hskp14 ) | ( hskp2 ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_6, negated_conjecture,
% 37.25/5.85 (( hskp14 ) | ( hskp2 ) | ( c2_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause121])).
% 37.25/5.85 thf(zip_derived_cl120, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp14)
% 37.25/5.85 | (hskp2)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c0_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 37.25/5.85 thf(zip_derived_cl402, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl120])).
% 37.25/5.85 thf(clause109, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c1_1 @ a5 ) ) ))).
% 37.25/5.85 thf(zf_stmt_7, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c1_1 @ a5 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause109])).
% 37.25/5.85 thf(zip_derived_cl108, plain, ((~ (hskp3) | ~ (c1_1 @ a5))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.25/5.85 thf(zip_derived_cl373, plain, ((~ (c1_1 @ a5)) <= (~ ( (c1_1 @ a5)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl108])).
% 37.25/5.85 thf(zip_derived_cl1023, plain,
% 37.25/5.85 (((~ (c0_1 @ a5) | (c2_1 @ a5)))
% 37.25/5.85 <= (~ ( (c1_1 @ a5)) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl373])).
% 37.25/5.85 thf('2', plain,
% 37.25/5.85 (~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c0_1 @ a5)) | ( (c2_1 @ a5)) | ( (c1_1 @ a5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1023])).
% 37.25/5.85 thf(clause145, conjecture,
% 37.25/5.85 (~( ( c2_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 37.25/5.85 ( c2_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_8, negated_conjecture,
% 37.25/5.85 (( c2_1 @ W ) | ( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 37.25/5.85 ( c2_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( c0_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause145])).
% 37.25/5.85 thf(zip_derived_cl144, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.85 ( (c2_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c2_1 @ X1)
% 37.25/5.85 | (c0_1 @ X1)
% 37.25/5.85 | (c2_1 @ X2)
% 37.25/5.85 | (c0_1 @ X2)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 37.25/5.85 thf(zip_derived_cl497, plain,
% 37.25/5.85 ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl144])).
% 37.25/5.85 thf(zip_derived_cl377, plain, ((~ (c3_1 @ a5)) <= (~ ( (c3_1 @ a5)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl110])).
% 37.25/5.85 thf(zip_derived_cl1617, plain,
% 37.25/5.85 ((( (c2_1 @ a5) | (c0_1 @ a5)))
% 37.25/5.85 <= (~ ( (c3_1 @ a5)) &
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl377])).
% 37.25/5.85 thf('3', plain,
% 37.25/5.85 (~ (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c0_1 @ a5)) | ( (c3_1 @ a5)) | ( (c2_1 @ a5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1617])).
% 37.25/5.85 thf(clause134, conjecture,
% 37.25/5.85 (~( ( hskp1 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 37.25/5.85 ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_9, negated_conjecture,
% 37.25/5.85 (( hskp1 ) | ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause134])).
% 37.25/5.85 thf(zip_derived_cl133, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp1)
% 37.25/5.85 | (c3_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X1)
% 37.25/5.85 | ~ (c2_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 37.25/5.85 thf(zip_derived_cl453, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(clause124, conjecture,
% 37.25/5.85 (~( ( hskp26 ) | ( hskp27 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_10, negated_conjecture,
% 37.25/5.85 (( hskp26 ) | ( hskp27 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause124])).
% 37.25/5.85 thf(zip_derived_cl123, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp26)
% 37.25/5.85 | (hskp27)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (c1_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 37.25/5.85 thf(zip_derived_cl414, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.85 thf(zip_derived_cl1101, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl414])).
% 37.25/5.85 thf(zip_derived_cl1125, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1101])).
% 37.25/5.85 thf(clause52, conjecture, (~( ( c3_1 @ a33 ) | ( ~( hskp19 ) ) ))).
% 37.25/5.85 thf(zf_stmt_11, negated_conjecture, (( c3_1 @ a33 ) | ( ~( hskp19 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause52])).
% 37.25/5.85 thf(zip_derived_cl51, plain, (( (c3_1 @ a33) | ~ (hskp19))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_11])).
% 37.25/5.85 thf(zip_derived_cl259, plain, (( (c3_1 @ a33)) <= (( (c3_1 @ a33)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl51])).
% 37.25/5.85 thf(zip_derived_cl3534, plain,
% 37.25/5.85 (((~ (c2_1 @ a33) | (c0_1 @ a33)))
% 37.25/5.85 <= (( (c3_1 @ a33)) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1125, zip_derived_cl259])).
% 37.25/5.85 thf('4', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a33)) | ~ ( (c2_1 @ a33)) | ( (c0_1 @ a33))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl3534])).
% 37.25/5.85 thf(zip_derived_cl414, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.85 thf(clause119, conjecture,
% 37.25/5.85 (~( ( hskp3 ) | ( hskp2 ) | ( c1_1 @ U ) | ( c0_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_12, negated_conjecture,
% 37.25/5.85 (( hskp3 ) | ( hskp2 ) | ( c1_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause119])).
% 37.25/5.85 thf(zip_derived_cl118, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp3)
% 37.25/5.85 | (hskp2)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_12])).
% 37.25/5.85 thf(zip_derived_cl394, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl118])).
% 37.25/5.85 thf(zip_derived_cl856, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl394])).
% 37.25/5.85 thf(zip_derived_cl860, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 37.25/5.85 thf(clause82, conjecture, (~( ( ~( hskp19 ) ) | ( ~( c0_1 @ a33 ) ) ))).
% 37.25/5.85 thf(zf_stmt_13, negated_conjecture, (( ~( hskp19 ) ) | ( ~( c0_1 @ a33 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause82])).
% 37.25/5.85 thf(zip_derived_cl81, plain, ((~ (hskp19) | ~ (c0_1 @ a33))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_13])).
% 37.25/5.85 thf(zip_derived_cl319, plain, ((~ (c0_1 @ a33)) <= (~ ( (c0_1 @ a33)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl81])).
% 37.25/5.85 thf(zip_derived_cl2162, plain,
% 37.25/5.85 ((~ (c2_1 @ a33))
% 37.25/5.85 <= (~ ( (c0_1 @ a33)) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl860, zip_derived_cl319])).
% 37.25/5.85 thf(clause51, conjecture, (~( ( c2_1 @ a33 ) | ( ~( hskp19 ) ) ))).
% 37.25/5.85 thf(zf_stmt_14, negated_conjecture, (( c2_1 @ a33 ) | ( ~( hskp19 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause51])).
% 37.25/5.85 thf(zip_derived_cl50, plain, (( (c2_1 @ a33) | ~ (hskp19))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_14])).
% 37.25/5.85 thf(zip_derived_cl257, plain, (( (c2_1 @ a33)) <= (( (c2_1 @ a33)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl50])).
% 37.25/5.85 thf('5', plain,
% 37.25/5.85 (~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a33)) | ~ ( (c2_1 @ a33))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl2162, zip_derived_cl257])).
% 37.25/5.85 thf(clause132, conjecture,
% 37.25/5.85 (~( ( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_15, negated_conjecture,
% 37.25/5.85 (( c3_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c0_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause132])).
% 37.25/5.85 thf(zip_derived_cl131, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (c3_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c0_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X1)
% 37.25/5.85 | ~ (c1_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_15])).
% 37.25/5.85 thf(zip_derived_cl447, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl131])).
% 37.25/5.85 thf(clause91, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c1_1 @ a24 ) ) ))).
% 37.25/5.85 thf(zf_stmt_16, negated_conjecture, (( ~( hskp14 ) ) | ( ~( c1_1 @ a24 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause91])).
% 37.25/5.85 thf(zip_derived_cl90, plain, ((~ (hskp14) | ~ (c1_1 @ a24))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_16])).
% 37.25/5.85 thf(zip_derived_cl337, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl90])).
% 37.25/5.85 thf(zip_derived_cl1342, plain,
% 37.25/5.85 ((( (c0_1 @ a24) | (c3_1 @ a24)))
% 37.25/5.85 <= (~ ( (c1_1 @ a24)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl337])).
% 37.25/5.85 thf('6', plain,
% 37.25/5.85 (( (c3_1 @ a24)) | ( (c0_1 @ a24)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c1_1 @ a24))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1342])).
% 37.25/5.85 thf(zip_derived_cl394, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl118])).
% 37.25/5.85 thf(zip_derived_cl337, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl90])).
% 37.25/5.85 thf(zip_derived_cl850, plain,
% 37.25/5.85 ((( (c0_1 @ a24) | ~ (c2_1 @ a24)))
% 37.25/5.85 <= (~ ( (c1_1 @ a24)) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl394, zip_derived_cl337])).
% 37.25/5.85 thf('7', plain,
% 37.25/5.85 (~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a24)) | ( (c1_1 @ a24)) | ~ ( (c2_1 @ a24))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl850])).
% 37.25/5.85 thf(zip_derived_cl414, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.85 thf(clause50, conjecture, (~( ( c1_1 @ a37 ) | ( ~( hskp20 ) ) ))).
% 37.25/5.85 thf(zf_stmt_17, negated_conjecture, (( c1_1 @ a37 ) | ( ~( hskp20 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause50])).
% 37.25/5.85 thf(zip_derived_cl49, plain, (( (c1_1 @ a37) | ~ (hskp20))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_17])).
% 37.25/5.85 thf(zip_derived_cl255, plain, (( (c1_1 @ a37)) <= (( (c1_1 @ a37)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl49])).
% 37.25/5.85 thf(zip_derived_cl713, plain,
% 37.25/5.85 ((( (c0_1 @ a37) | ~ (c2_1 @ a37)))
% 37.25/5.85 <= (( (c1_1 @ a37)) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl255])).
% 37.25/5.85 thf('8', plain,
% 37.25/5.85 (~ ( (c2_1 @ a37)) | ( (c0_1 @ a37)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c1_1 @ a37))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl713])).
% 37.25/5.85 thf('9', plain, (( (c1_1 @ a37)) | ~ ( (hskp20))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl49])).
% 37.25/5.85 thf(zip_derived_cl453, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(zip_derived_cl337, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl90])).
% 37.25/5.85 thf(zip_derived_cl1112, plain,
% 37.25/5.85 (((~ (c3_1 @ a24) | ~ (c2_1 @ a24)))
% 37.25/5.85 <= (~ ( (c1_1 @ a24)) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl337])).
% 37.25/5.85 thf('10', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c3_1 @ a24)) | ~ ( (c2_1 @ a24)) | ( (c1_1 @ a24))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1112])).
% 37.25/5.85 thf(clause150, conjecture,
% 37.25/5.85 (~( ( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( c0_1 @ V ) |
% 37.25/5.85 ( c1_1 @ U ) | ( ~( c2_1 @ W ) ) | ( ~( c1_1 @ V ) ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_18, negated_conjecture,
% 37.25/5.85 (( c1_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( c0_1 @ V ) |
% 37.25/5.85 ( c1_1 @ U ) | ( ~( c2_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause150])).
% 37.25/5.85 thf(zip_derived_cl149, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.85 ( (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c0_1 @ X1)
% 37.25/5.85 | (c1_1 @ X2)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (c1_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X2)
% 37.25/5.85 | ~ (c2_1 @ X2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_18])).
% 37.25/5.85 thf(zip_derived_cl517, plain,
% 37.25/5.85 ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl149])).
% 37.25/5.85 thf(clause55, conjecture, (~( ( c1_1 @ a30 ) | ( ~( hskp16 ) ) ))).
% 37.25/5.85 thf(zf_stmt_19, negated_conjecture, (( c1_1 @ a30 ) | ( ~( hskp16 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause55])).
% 37.25/5.85 thf(zip_derived_cl54, plain, (( (c1_1 @ a30) | ~ (hskp16))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_19])).
% 37.25/5.85 thf(zip_derived_cl265, plain, (( (c1_1 @ a30)) <= (( (c1_1 @ a30)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.85 thf(zip_derived_cl1378, plain,
% 37.25/5.85 ((( (c3_1 @ a30) | (c0_1 @ a30)))
% 37.25/5.85 <= (( (c1_1 @ a30)) &
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl265])).
% 37.25/5.85 thf('11', plain,
% 37.25/5.85 (( (c3_1 @ a30)) | ~ ( (c1_1 @ a30)) |
% 37.25/5.85 ~ (![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c0_1 @ a30))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1378])).
% 37.25/5.85 thf(zip_derived_cl394, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl118])).
% 37.25/5.85 thf(zip_derived_cl470, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl935, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl394, zip_derived_cl470])).
% 37.25/5.85 thf(zip_derived_cl946, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 37.25/5.85 thf(zip_derived_cl259, plain, (( (c3_1 @ a33)) <= (( (c3_1 @ a33)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl51])).
% 37.25/5.85 thf(zip_derived_cl3312, plain,
% 37.25/5.85 ((( (c0_1 @ a33) | ~ (c2_1 @ a33)))
% 37.25/5.85 <= (( (c3_1 @ a33)) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl946, zip_derived_cl259])).
% 37.25/5.85 thf('12', plain,
% 37.25/5.85 (~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a33)) | ~ ( (c2_1 @ a33)) | ~ ( (c3_1 @ a33))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl3312])).
% 37.25/5.85 thf(zip_derived_cl470, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl265, plain, (( (c1_1 @ a30)) <= (( (c1_1 @ a30)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.85 thf(zip_derived_cl928, plain,
% 37.25/5.85 ((( (c0_1 @ a30) | ~ (c3_1 @ a30)))
% 37.25/5.85 <= (( (c1_1 @ a30)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl265])).
% 37.25/5.85 thf('13', plain,
% 37.25/5.85 (~ ( (c3_1 @ a30)) | ( (c0_1 @ a30)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c1_1 @ a30))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl928])).
% 37.25/5.85 thf(clause127, conjecture,
% 37.25/5.85 (~( ( hskp12 ) | ( hskp27 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_20, negated_conjecture,
% 37.25/5.85 (( hskp12 ) | ( hskp27 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause127])).
% 37.25/5.85 thf(zip_derived_cl126, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp12)
% 37.25/5.85 | (hskp27)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X0)
% 37.25/5.85 | ~ (c2_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_20])).
% 37.25/5.85 thf(zip_derived_cl426, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl126])).
% 37.25/5.85 thf(clause45, conjecture, (~( ( c3_1 @ a3 ) | ( ~( hskp24 ) ) ))).
% 37.25/5.85 thf(zf_stmt_21, negated_conjecture, (( c3_1 @ a3 ) | ( ~( hskp24 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause45])).
% 37.25/5.85 thf(zip_derived_cl44, plain, (( (c3_1 @ a3) | ~ (hskp24))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_21])).
% 37.25/5.85 thf(zip_derived_cl245, plain, (( (c3_1 @ a3)) <= (( (c3_1 @ a3)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl44])).
% 37.25/5.85 thf(zip_derived_cl770, plain,
% 37.25/5.85 ((( (c0_1 @ a3) | ~ (c2_1 @ a3)))
% 37.25/5.85 <= (( (c3_1 @ a3)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl245])).
% 37.25/5.85 thf('14', plain,
% 37.25/5.85 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a3)) | ~ ( (c3_1 @ a3)) | ~ ( (c2_1 @ a3))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl770])).
% 37.25/5.85 thf(zip_derived_cl430, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.85 thf(clause46, conjecture, (~( ( c3_1 @ a53 ) | ( ~( hskp23 ) ) ))).
% 37.25/5.85 thf(zf_stmt_22, negated_conjecture, (( c3_1 @ a53 ) | ( ~( hskp23 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause46])).
% 37.25/5.85 thf(zip_derived_cl45, plain, (( (c3_1 @ a53) | ~ (hskp23))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_22])).
% 37.25/5.85 thf(zip_derived_cl247, plain, (( (c3_1 @ a53)) <= (( (c3_1 @ a53)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl45])).
% 37.25/5.85 thf(zip_derived_cl791, plain,
% 37.25/5.85 (((~ (c0_1 @ a53) | (c2_1 @ a53)))
% 37.25/5.85 <= (( (c3_1 @ a53)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl247])).
% 37.25/5.85 thf(zip_derived_cl2403, plain, (( (c2_1 @ a53)) <= (( (c2_1 @ a53)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl791])).
% 37.25/5.85 thf(zip_derived_cl426, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl126])).
% 37.25/5.85 thf(clause120, conjecture,
% 37.25/5.85 (~( ( hskp26 ) | ( hskp25 ) | ( c3_1 @ U ) | ( c0_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_23, negated_conjecture,
% 37.25/5.85 (( hskp26 ) | ( hskp25 ) | ( c3_1 @ U ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause120])).
% 37.25/5.85 thf(zip_derived_cl119, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp26)
% 37.25/5.85 | (hskp25)
% 37.25/5.85 | (c3_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_23])).
% 37.25/5.85 thf(zip_derived_cl398, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl119])).
% 37.25/5.85 thf(zip_derived_cl981, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl398])).
% 37.25/5.85 thf(zip_derived_cl991, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl981])).
% 37.25/5.85 thf(clause75, conjecture, (~( ( ~( hskp23 ) ) | ( ~( c0_1 @ a53 ) ) ))).
% 37.25/5.85 thf(zf_stmt_24, negated_conjecture, (( ~( hskp23 ) ) | ( ~( c0_1 @ a53 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause75])).
% 37.25/5.85 thf(zip_derived_cl74, plain, ((~ (hskp23) | ~ (c0_1 @ a53))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_24])).
% 37.25/5.85 thf(zip_derived_cl305, plain, ((~ (c0_1 @ a53)) <= (~ ( (c0_1 @ a53)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl74])).
% 37.25/5.85 thf(zip_derived_cl2288, plain,
% 37.25/5.85 ((~ (c2_1 @ a53))
% 37.25/5.85 <= (~ ( (c0_1 @ a53)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl991, zip_derived_cl305])).
% 37.25/5.85 thf('15', plain,
% 37.25/5.85 (( (c0_1 @ a53)) | ~ ( (c2_1 @ a53)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl2403, zip_derived_cl2288])).
% 37.25/5.85 thf(zip_derived_cl245, plain, (( (c3_1 @ a3)) <= (( (c3_1 @ a3)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl44])).
% 37.25/5.85 thf(clause141, conjecture,
% 37.25/5.85 (~( ( c3_1 @ V ) | ( c1_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_25, negated_conjecture,
% 37.25/5.85 (( c3_1 @ V ) | ( c1_1 @ V ) | ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause141])).
% 37.25/5.85 thf(zip_derived_cl140, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (c3_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X1)
% 37.25/5.85 | ~ (c2_1 @ X1)
% 37.25/5.85 | ~ (c0_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_25])).
% 37.25/5.85 thf(zip_derived_cl481, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.85 thf(zip_derived_cl610, plain,
% 37.25/5.85 (((~ (c0_1 @ a3) | ~ (c2_1 @ a3)))
% 37.25/5.85 <= (( (c3_1 @ a3)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl481])).
% 37.25/5.85 thf('16', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c0_1 @ a3)) | ~ ( (c2_1 @ a3)) | ~ ( (c3_1 @ a3))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl610])).
% 37.25/5.85 thf(zip_derived_cl481, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.85 thf(clause36, conjecture, (~( ( c3_1 @ a11 ) | ( ~( hskp27 ) ) ))).
% 37.25/5.85 thf(zf_stmt_26, negated_conjecture, (( c3_1 @ a11 ) | ( ~( hskp27 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause36])).
% 37.25/5.85 thf(zip_derived_cl35, plain, (( (c3_1 @ a11) | ~ (hskp27))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_26])).
% 37.25/5.85 thf(zip_derived_cl227, plain, (( (c3_1 @ a11)) <= (( (c3_1 @ a11)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl35])).
% 37.25/5.85 thf(zip_derived_cl558, plain,
% 37.25/5.85 (((~ (c2_1 @ a11) | ~ (c0_1 @ a11)))
% 37.25/5.85 <= (( (c3_1 @ a11)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl227])).
% 37.25/5.85 thf('17', plain,
% 37.25/5.85 (~ ( (c2_1 @ a11)) | ~ ( (c3_1 @ a11)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c0_1 @ a11))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl558])).
% 37.25/5.85 thf('18', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c3_1 @ a8)) | ~ ( (c1_1 @ a8)) | ~ ( (c0_1 @ a8))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl876])).
% 37.25/5.85 thf(clause137, conjecture,
% 37.25/5.85 (~( ( hskp5 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 37.25/5.85 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.85 ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_27, negated_conjecture,
% 37.25/5.85 (( hskp5 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( c3_1 @ U ) |
% 37.25/5.85 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.85 ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause137])).
% 37.25/5.85 thf(zip_derived_cl136, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp5)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | ~ (c1_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X1)
% 37.25/5.85 | ~ (c1_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_27])).
% 37.25/5.85 thf(zip_derived_cl466, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl136])).
% 37.25/5.85 thf(clause72, conjecture, (~( ( c1_1 @ a4 ) | ( ~( hskp2 ) ) ))).
% 37.25/5.85 thf(zf_stmt_28, negated_conjecture, (( c1_1 @ a4 ) | ( ~( hskp2 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause72])).
% 37.25/5.85 thf(zip_derived_cl71, plain, (( (c1_1 @ a4) | ~ (hskp2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_28])).
% 37.25/5.85 thf(zip_derived_cl299, plain, (( (c1_1 @ a4)) <= (( (c1_1 @ a4)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl71])).
% 37.25/5.85 thf(zip_derived_cl1228, plain,
% 37.25/5.85 ((( (c0_1 @ a4) | (c2_1 @ a4)))
% 37.25/5.85 <= (( (c1_1 @ a4)) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl299])).
% 37.25/5.85 thf('19', plain,
% 37.25/5.85 (( (c0_1 @ a4)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c2_1 @ a4)) | ~ ( (c1_1 @ a4))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1228])).
% 37.25/5.85 thf(zip_derived_cl1811, plain, ((~ (c3_1 @ a24)) <= (~ ( (c3_1 @ a24)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1112])).
% 37.25/5.85 thf(zip_derived_cl398, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl119])).
% 37.25/5.85 thf(zip_derived_cl1813, plain,
% 37.25/5.85 (((~ (c2_1 @ a24) | (c0_1 @ a24)))
% 37.25/5.85 <= (~ ( (c3_1 @ a24)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1811, zip_derived_cl398])).
% 37.25/5.85 thf('20', plain,
% 37.25/5.85 (( (c3_1 @ a24)) | ( (c0_1 @ a24)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c2_1 @ a24))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1813])).
% 37.25/5.85 thf(clause146, conjecture,
% 37.25/5.85 (~( ( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ U ) |
% 37.25/5.85 ( c0_1 @ U ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( ndr1_0 ) ) ))).
% 37.25/5.85 thf(zf_stmt_29, negated_conjecture,
% 37.25/5.85 (( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ U ) |
% 37.25/5.85 ( c0_1 @ U ) | ( c3_1 @ V ) | ( c2_1 @ V ) | ( c1_1 @ V ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( ndr1_0 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause146])).
% 37.25/5.85 thf(zip_derived_cl145, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.85 ( (c3_1 @ X0)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c0_1 @ X1)
% 37.25/5.85 | (c3_1 @ X2)
% 37.25/5.85 | (c2_1 @ X2)
% 37.25/5.85 | (c1_1 @ X2)
% 37.25/5.85 | ~ (c2_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_29])).
% 37.25/5.85 thf('21', plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | (c1_1 @ X2))) |
% 37.25/5.85 ~ ( (ndr1_0)) |
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl145])).
% 37.25/5.85 thf(clause142, conjecture,
% 37.25/5.85 (~( ( hskp6 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.85 ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_30, negated_conjecture,
% 37.25/5.85 (( hskp6 ) | ( c2_1 @ V ) | ( c0_1 @ V ) | ( ~( c3_1 @ V ) ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.85 ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause142])).
% 37.25/5.85 thf(zip_derived_cl141, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp6)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | ~ (c3_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X1)
% 37.25/5.85 | ~ (c2_1 @ X1)
% 37.25/5.85 | ~ (c1_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_30])).
% 37.25/5.85 thf('22', plain,
% 37.25/5.85 (( (hskp6)) |
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.85 thf(zip_derived_cl500, plain,
% 37.25/5.85 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | (c1_1 @ X2)))
% 37.25/5.85 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | (c1_1 @ X2))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl145])).
% 37.25/5.85 thf(clause84, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c1_1 @ a32 ) ) ))).
% 37.25/5.85 thf(zf_stmt_31, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c1_1 @ a32 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause84])).
% 37.25/5.85 thf(zip_derived_cl83, plain, ((~ (hskp18) | ~ (c1_1 @ a32))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_31])).
% 37.25/5.85 thf(zip_derived_cl323, plain, ((~ (c1_1 @ a32)) <= (~ ( (c1_1 @ a32)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl83])).
% 37.25/5.85 thf(zip_derived_cl1647, plain,
% 37.25/5.85 ((( (c3_1 @ a32) | (c2_1 @ a32)))
% 37.25/5.85 <= (~ ( (c1_1 @ a32)) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | (c1_1 @ X2))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl500, zip_derived_cl323])).
% 37.25/5.85 thf('23', plain,
% 37.25/5.85 (~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | (c1_1 @ X2))) |
% 37.25/5.85 ( (c2_1 @ a32)) | ( (c3_1 @ a32)) | ( (c1_1 @ a32))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1647])).
% 37.25/5.85 thf(zip_derived_cl484, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.85 thf(zip_derived_cl453, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(zip_derived_cl1121, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl453])).
% 37.25/5.85 thf(zip_derived_cl1124, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1121])).
% 37.25/5.85 thf(clause39, conjecture, (~( ( c3_1 @ a10 ) | ( ~( hskp26 ) ) ))).
% 37.25/5.85 thf(zf_stmt_32, negated_conjecture, (( c3_1 @ a10 ) | ( ~( hskp26 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause39])).
% 37.25/5.85 thf(zip_derived_cl38, plain, (( (c3_1 @ a10) | ~ (hskp26))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_32])).
% 37.25/5.85 thf(zip_derived_cl233, plain, (( (c3_1 @ a10)) <= (( (c3_1 @ a10)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl38])).
% 37.25/5.85 thf(zip_derived_cl1744, plain,
% 37.25/5.85 ((~ (c2_1 @ a10))
% 37.25/5.85 <= (( (c3_1 @ a10)) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1124, zip_derived_cl233])).
% 37.25/5.85 thf(clause38, conjecture, (~( ( c2_1 @ a10 ) | ( ~( hskp26 ) ) ))).
% 37.25/5.85 thf(zf_stmt_33, negated_conjecture, (( c2_1 @ a10 ) | ( ~( hskp26 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause38])).
% 37.25/5.85 thf(zip_derived_cl37, plain, (( (c2_1 @ a10) | ~ (hskp26))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_33])).
% 37.25/5.85 thf(zip_derived_cl231, plain, (( (c2_1 @ a10)) <= (( (c2_1 @ a10)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl37])).
% 37.25/5.85 thf('24', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c3_1 @ a10)) | ~ ( (c2_1 @ a10))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1744, zip_derived_cl231])).
% 37.25/5.85 thf(zip_derived_cl430, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.85 thf(clause123, conjecture,
% 37.25/5.85 (~( ( hskp16 ) | ( hskp26 ) | ( c3_1 @ U ) | ( c2_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_34, negated_conjecture,
% 37.25/5.85 (( hskp16 ) | ( hskp26 ) | ( c3_1 @ U ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause123])).
% 37.25/5.85 thf(zip_derived_cl122, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp16)
% 37.25/5.85 | (hskp26)
% 37.25/5.85 | (c3_1 @ X0)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c0_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_34])).
% 37.25/5.85 thf(zip_derived_cl410, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.85 thf(zip_derived_cl1199, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 (~ (c0_1 @ X0) | (c2_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl410])).
% 37.25/5.85 thf(zip_derived_cl1208, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1199])).
% 37.25/5.85 thf(clause63, conjecture, (~( ( c0_1 @ a15 ) | ( ~( hskp8 ) ) ))).
% 37.25/5.85 thf(zf_stmt_35, negated_conjecture, (( c0_1 @ a15 ) | ( ~( hskp8 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause63])).
% 37.25/5.85 thf(zip_derived_cl62, plain, (( (c0_1 @ a15) | ~ (hskp8))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_35])).
% 37.25/5.85 thf(zip_derived_cl281, plain, (( (c0_1 @ a15)) <= (( (c0_1 @ a15)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl62])).
% 37.25/5.85 thf(zip_derived_cl2065, plain,
% 37.25/5.85 (( (c2_1 @ a15))
% 37.25/5.85 <= (( (c0_1 @ a15)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1208, zip_derived_cl281])).
% 37.25/5.85 thf(clause104, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c2_1 @ a15 ) ) ))).
% 37.25/5.85 thf(zf_stmt_36, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c2_1 @ a15 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause104])).
% 37.25/5.85 thf(zip_derived_cl103, plain, ((~ (hskp8) | ~ (c2_1 @ a15))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_36])).
% 37.25/5.85 thf(zip_derived_cl363, plain, ((~ (c2_1 @ a15)) <= (~ ( (c2_1 @ a15)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl103])).
% 37.25/5.85 thf('25', plain,
% 37.25/5.85 (( (c2_1 @ a15)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c0_1 @ a15))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl2065, zip_derived_cl363])).
% 37.25/5.85 thf(zip_derived_cl485, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.85 thf(clause69, conjecture, (~( ( c3_1 @ a7 ) | ( ~( hskp5 ) ) ))).
% 37.25/5.85 thf(zf_stmt_37, negated_conjecture, (( c3_1 @ a7 ) | ( ~( hskp5 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause69])).
% 37.25/5.85 thf(zip_derived_cl68, plain, (( (c3_1 @ a7) | ~ (hskp5))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_37])).
% 37.25/5.85 thf(zip_derived_cl293, plain, (( (c3_1 @ a7)) <= (( (c3_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl68])).
% 37.25/5.85 thf(zip_derived_cl1259, plain,
% 37.25/5.85 ((( (c0_1 @ a7) | (c2_1 @ a7)))
% 37.25/5.85 <= (( (c3_1 @ a7)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl485, zip_derived_cl293])).
% 37.25/5.85 thf('26', plain,
% 37.25/5.85 (( (c2_1 @ a7)) | ( (c0_1 @ a7)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a7))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1259])).
% 37.25/5.85 thf(zip_derived_cl508, plain,
% 37.25/5.85 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2)))
% 37.25/5.85 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl147])).
% 37.25/5.85 thf(zip_derived_cl299, plain, (( (c1_1 @ a4)) <= (( (c1_1 @ a4)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl71])).
% 37.25/5.85 thf(zip_derived_cl1294, plain,
% 37.25/5.85 ((( (c3_1 @ a4) | (c2_1 @ a4)))
% 37.25/5.85 <= (( (c1_1 @ a4)) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl299])).
% 37.25/5.85 thf('27', plain,
% 37.25/5.85 (~ ( (c1_1 @ a4)) | ( (c3_1 @ a4)) |
% 37.25/5.85 ~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.85 ( (c2_1 @ a4))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1294])).
% 37.25/5.85 thf('28', plain,
% 37.25/5.85 (( (hskp14)) |
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ( (hskp2)) | ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl120])).
% 37.25/5.85 thf(clause118, conjecture,
% 37.25/5.85 (~( ( hskp7 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_38, negated_conjecture,
% 37.25/5.85 (( hskp7 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause118])).
% 37.25/5.85 thf(zip_derived_cl117, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp7) | (c3_1 @ X0) | (c1_1 @ X0) | ~ (ndr1_0) | ~ (c2_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_38])).
% 37.25/5.85 thf(zip_derived_cl391, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.85 thf(zip_derived_cl337, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl90])).
% 37.25/5.85 thf(zip_derived_cl751, plain,
% 37.25/5.85 (((~ (c2_1 @ a24) | (c3_1 @ a24)))
% 37.25/5.85 <= (~ ( (c1_1 @ a24)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl337])).
% 37.25/5.85 thf('29', plain,
% 37.25/5.85 (( (c3_1 @ a24)) | ( (c1_1 @ a24)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.85 ~ ( (c2_1 @ a24))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl751])).
% 37.25/5.85 thf(clause58, conjecture, (~( ( c2_1 @ a24 ) | ( ~( hskp14 ) ) ))).
% 37.25/5.85 thf(zf_stmt_39, negated_conjecture, (( c2_1 @ a24 ) | ( ~( hskp14 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause58])).
% 37.25/5.85 thf(zip_derived_cl57, plain, (( (c2_1 @ a24) | ~ (hskp14))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_39])).
% 37.25/5.85 thf('30', plain, (( (c2_1 @ a24)) | ~ ( (hskp14))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl57])).
% 37.25/5.85 thf(clause90, conjecture, (~( ( ~( hskp14 ) ) | ( ~( c0_1 @ a24 ) ) ))).
% 37.25/5.85 thf(zf_stmt_40, negated_conjecture, (( ~( hskp14 ) ) | ( ~( c0_1 @ a24 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause90])).
% 37.25/5.85 thf(zip_derived_cl89, plain, ((~ (hskp14) | ~ (c0_1 @ a24))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_40])).
% 37.25/5.85 thf('31', plain, (~ ( (c0_1 @ a24)) | ~ ( (hskp14))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl89])).
% 37.25/5.85 thf('32', plain, (~ ( (c1_1 @ a24)) | ~ ( (hskp14))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl90])).
% 37.25/5.85 thf(clause136, conjecture,
% 37.25/5.85 (~( ( hskp4 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) |
% 37.25/5.85 ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_41, negated_conjecture,
% 37.25/5.85 (( hskp4 ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c2_1 @ U ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause136])).
% 37.25/5.85 thf(zip_derived_cl135, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp4)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c2_1 @ X1)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | ~ (c3_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c0_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_41])).
% 37.25/5.85 thf(zip_derived_cl462, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl135])).
% 37.25/5.85 thf(zip_derived_cl337, plain, ((~ (c1_1 @ a24)) <= (~ ( (c1_1 @ a24)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl90])).
% 37.25/5.85 thf(zip_derived_cl1473, plain,
% 37.25/5.85 ((( (c0_1 @ a24) | ~ (c3_1 @ a24)))
% 37.25/5.85 <= (~ ( (c1_1 @ a24)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl462, zip_derived_cl337])).
% 37.25/5.85 thf('33', plain,
% 37.25/5.85 (~ ( (c3_1 @ a24)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a24)) | ( (c1_1 @ a24))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1473])).
% 37.25/5.85 thf(clause131, conjecture,
% 37.25/5.85 (~( ( hskp10 ) | ( hskp6 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.85 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_42, negated_conjecture,
% 37.25/5.85 (( hskp10 ) | ( hskp6 ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.85 ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause131])).
% 37.25/5.85 thf(zip_derived_cl130, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp10)
% 37.25/5.85 | (hskp6)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (c1_1 @ X0)
% 37.25/5.85 | ~ (c0_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_42])).
% 37.25/5.85 thf('34', plain,
% 37.25/5.85 (( (hskp6)) | ( (hskp10)) |
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.85 thf(zip_derived_cl426, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl126])).
% 37.25/5.85 thf(zip_derived_cl293, plain, (( (c3_1 @ a7)) <= (( (c3_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl68])).
% 37.25/5.85 thf(zip_derived_cl775, plain,
% 37.25/5.85 ((( (c0_1 @ a7) | ~ (c2_1 @ a7)))
% 37.25/5.85 <= (( (c3_1 @ a7)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl293])).
% 37.25/5.85 thf('35', plain,
% 37.25/5.85 (~ ( (c2_1 @ a7)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a7)) | ( (c0_1 @ a7))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl775])).
% 37.25/5.85 thf('36', plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl131])).
% 37.25/5.85 thf(zip_derived_cl466, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl136])).
% 37.25/5.85 thf(zip_derived_cl447, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl131])).
% 37.25/5.85 thf(zip_derived_cl1348, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c0_1 @ X0) | (c2_1 @ X0) | (c3_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl447])).
% 37.25/5.85 thf(zip_derived_cl1354, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1348])).
% 37.25/5.85 thf(clause94, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c3_1 @ a22 ) ) ))).
% 37.25/5.85 thf(zf_stmt_43, negated_conjecture, (( ~( hskp13 ) ) | ( ~( c3_1 @ a22 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause94])).
% 37.25/5.85 thf(zip_derived_cl93, plain, ((~ (hskp13) | ~ (c3_1 @ a22))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_43])).
% 37.25/5.85 thf(zip_derived_cl343, plain, ((~ (c3_1 @ a22)) <= (~ ( (c3_1 @ a22)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl93])).
% 37.25/5.85 thf(zip_derived_cl5830, plain,
% 37.25/5.85 ((( (c0_1 @ a22) | (c2_1 @ a22)))
% 37.25/5.85 <= (~ ( (c3_1 @ a22)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl1354, zip_derived_cl343])).
% 37.25/5.85 thf('37', plain,
% 37.25/5.85 (~ (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a22)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c2_1 @ a22)) | ( (c3_1 @ a22))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl5830])).
% 37.25/5.85 thf(zip_derived_cl414, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.85 thf(clause68, conjecture, (~( ( c1_1 @ a7 ) | ( ~( hskp5 ) ) ))).
% 37.25/5.85 thf(zf_stmt_44, negated_conjecture, (( c1_1 @ a7 ) | ( ~( hskp5 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause68])).
% 37.25/5.85 thf(zip_derived_cl67, plain, (( (c1_1 @ a7) | ~ (hskp5))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_44])).
% 37.25/5.85 thf(zip_derived_cl291, plain, (( (c1_1 @ a7)) <= (( (c1_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl67])).
% 37.25/5.85 thf(zip_derived_cl717, plain,
% 37.25/5.85 ((( (c0_1 @ a7) | ~ (c2_1 @ a7)))
% 37.25/5.85 <= (( (c1_1 @ a7)) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl291])).
% 37.25/5.85 thf('38', plain,
% 37.25/5.85 (~ ( (c2_1 @ a7)) | ( (c0_1 @ a7)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c1_1 @ a7))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl717])).
% 37.25/5.85 thf(clause133, conjecture,
% 37.25/5.85 (~( ( hskp0 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) |
% 37.25/5.85 ( c1_1 @ U ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_45, negated_conjecture,
% 37.25/5.85 (( hskp0 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c0_1 @ V ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause133])).
% 37.25/5.85 thf(zip_derived_cl132, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp0)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X1)
% 37.25/5.85 | ~ (c0_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_45])).
% 37.25/5.85 thf(zip_derived_cl450, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.85 thf(clause129, conjecture,
% 37.25/5.85 (~( ( hskp24 ) | ( hskp9 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_46, negated_conjecture,
% 37.25/5.85 (( hskp24 ) | ( hskp9 ) | ( c2_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause129])).
% 37.25/5.85 thf(zip_derived_cl128, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp24)
% 37.25/5.85 | (hskp9)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X0)
% 37.25/5.85 | ~ (c1_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_46])).
% 37.25/5.85 thf(zip_derived_cl434, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.85 thf(zip_derived_cl1421, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c0_1 @ X0) | (c2_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl434])).
% 37.25/5.85 thf(zip_derived_cl1452, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1421])).
% 37.25/5.85 thf(zip_derived_cl293, plain, (( (c3_1 @ a7)) <= (( (c3_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl68])).
% 37.25/5.85 thf(zip_derived_cl5075, plain,
% 37.25/5.85 ((( (c0_1 @ a7) | (c2_1 @ a7)))
% 37.25/5.85 <= (( (c3_1 @ a7)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1452, zip_derived_cl293])).
% 37.25/5.85 thf('39', plain,
% 37.25/5.85 (( (c2_1 @ a7)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a7)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a7))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl5075])).
% 37.25/5.85 thf(zip_derived_cl414, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.85 thf(zip_derived_cl391, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.85 thf(zip_derived_cl757, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c0_1 @ X0) | ~ (c2_1 @ X0) | (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl391])).
% 37.25/5.85 thf(zip_derived_cl760, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl757])).
% 37.25/5.85 thf(clause115, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c3_1 @ a2 ) ) ))).
% 37.25/5.85 thf(zf_stmt_47, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c3_1 @ a2 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause115])).
% 37.25/5.85 thf(zip_derived_cl114, plain, ((~ (hskp1) | ~ (c3_1 @ a2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_47])).
% 37.25/5.85 thf(zip_derived_cl385, plain, ((~ (c3_1 @ a2)) <= (~ ( (c3_1 @ a2)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl114])).
% 37.25/5.85 thf(zip_derived_cl2663, plain,
% 37.25/5.85 ((( (c0_1 @ a2) | ~ (c2_1 @ a2)))
% 37.25/5.85 <= (~ ( (c3_1 @ a2)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl760, zip_derived_cl385])).
% 37.25/5.85 thf('40', plain,
% 37.25/5.85 (~ ( (c2_1 @ a2)) | ( (c0_1 @ a2)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c3_1 @ a2))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl2663])).
% 37.25/5.85 thf(zip_derived_cl391, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.85 thf(zip_derived_cl465, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl136])).
% 37.25/5.85 thf(zip_derived_cl906, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 (~ (c2_1 @ X0) | (c3_1 @ X0) | ~ (c2_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl465])).
% 37.25/5.85 thf(zip_derived_cl918, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl906])).
% 37.25/5.85 thf(clause100, conjecture, (~( ( ~( hskp10 ) ) | ( ~( c3_1 @ a18 ) ) ))).
% 37.25/5.85 thf(zf_stmt_48, negated_conjecture, (( ~( hskp10 ) ) | ( ~( c3_1 @ a18 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause100])).
% 37.25/5.85 thf(zip_derived_cl99, plain, ((~ (hskp10) | ~ (c3_1 @ a18))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_48])).
% 37.25/5.85 thf(zip_derived_cl355, plain, ((~ (c3_1 @ a18)) <= (~ ( (c3_1 @ a18)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl99])).
% 37.25/5.85 thf(zip_derived_cl2243, plain,
% 37.25/5.85 ((~ (c2_1 @ a18))
% 37.25/5.85 <= (~ ( (c3_1 @ a18)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl918, zip_derived_cl355])).
% 37.25/5.85 thf(clause61, conjecture, (~( ( c2_1 @ a18 ) | ( ~( hskp10 ) ) ))).
% 37.25/5.85 thf(zf_stmt_49, negated_conjecture, (( c2_1 @ a18 ) | ( ~( hskp10 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause61])).
% 37.25/5.85 thf(zip_derived_cl60, plain, (( (c2_1 @ a18) | ~ (hskp10))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_49])).
% 37.25/5.85 thf(zip_derived_cl277, plain, (( (c2_1 @ a18)) <= (( (c2_1 @ a18)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl60])).
% 37.25/5.85 thf('41', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c2_1 @ a18)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.85 ( (c3_1 @ a18))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl2243, zip_derived_cl277])).
% 37.25/5.85 thf(clause130, conjecture,
% 37.25/5.85 (~( ( hskp20 ) | ( hskp26 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_50, negated_conjecture,
% 37.25/5.85 (( hskp20 ) | ( hskp26 ) | ( c3_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause130])).
% 37.25/5.85 thf(zip_derived_cl129, plain,
% 37.25/5.85 (![X0 : $i]:
% 37.25/5.85 ( (hskp20)
% 37.25/5.85 | (hskp26)
% 37.25/5.85 | (c3_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (c0_1 @ X0))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_50])).
% 37.25/5.85 thf(zip_derived_cl438, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl129])).
% 37.25/5.85 thf(zip_derived_cl355, plain, ((~ (c3_1 @ a18)) <= (~ ( (c3_1 @ a18)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl99])).
% 37.25/5.85 thf(zip_derived_cl1050, plain,
% 37.25/5.85 (((~ (c0_1 @ a18) | ~ (c2_1 @ a18)))
% 37.25/5.85 <= (~ ( (c3_1 @ a18)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl438, zip_derived_cl355])).
% 37.25/5.85 thf('42', plain,
% 37.25/5.85 (~ ( (c2_1 @ a18)) | ( (c3_1 @ a18)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c0_1 @ a18))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1050])).
% 37.25/5.85 thf(zip_derived_cl430, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.85 thf(zip_derived_cl293, plain, (( (c3_1 @ a7)) <= (( (c3_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl68])).
% 37.25/5.85 thf(zip_derived_cl795, plain,
% 37.25/5.85 (((~ (c0_1 @ a7) | (c2_1 @ a7)))
% 37.25/5.85 <= (( (c3_1 @ a7)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl293])).
% 37.25/5.85 thf(zip_derived_cl2419, plain, (( (c2_1 @ a7)) <= (( (c2_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl795])).
% 37.25/5.85 thf(zip_derived_cl991, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl981])).
% 37.25/5.85 thf(clause107, conjecture, (~( ( ~( hskp5 ) ) | ( ~( c0_1 @ a7 ) ) ))).
% 37.25/5.85 thf(zf_stmt_51, negated_conjecture, (( ~( hskp5 ) ) | ( ~( c0_1 @ a7 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause107])).
% 37.25/5.85 thf(zip_derived_cl106, plain, ((~ (hskp5) | ~ (c0_1 @ a7))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_51])).
% 37.25/5.85 thf(zip_derived_cl369, plain, ((~ (c0_1 @ a7)) <= (~ ( (c0_1 @ a7)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl106])).
% 37.25/5.85 thf(zip_derived_cl2303, plain,
% 37.25/5.85 ((~ (c2_1 @ a7))
% 37.25/5.85 <= (~ ( (c0_1 @ a7)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl991, zip_derived_cl369])).
% 37.25/5.85 thf('43', plain,
% 37.25/5.85 (~ ( (c2_1 @ a7)) | ( (c0_1 @ a7)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl2419, zip_derived_cl2303])).
% 37.25/5.85 thf('44', plain, (( (c1_1 @ a7)) | ~ ( (hskp5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl67])).
% 37.25/5.85 thf('45', plain, (( (c3_1 @ a7)) | ~ ( (hskp5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl68])).
% 37.25/5.85 thf('46', plain, (~ ( (c0_1 @ a7)) | ~ ( (hskp5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl106])).
% 37.25/5.85 thf('47', plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (hskp5)) | ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl136])).
% 37.25/5.85 thf(clause151, conjecture,
% 37.25/5.85 (~( ( c3_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( c2_1 @ V ) |
% 37.25/5.85 ( ~( c2_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_52, negated_conjecture,
% 37.25/5.85 (( c3_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) | ( c2_1 @ V ) |
% 37.25/5.85 ( ~( c2_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause151])).
% 37.25/5.85 thf(zip_derived_cl150, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.85 ( (c3_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c2_1 @ X1)
% 37.25/5.85 | ~ (c2_1 @ X0)
% 37.25/5.85 | ~ (c1_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c2_1 @ X2)
% 37.25/5.85 | ~ (c1_1 @ X2)
% 37.25/5.85 | ~ (c0_1 @ X2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_52])).
% 37.25/5.85 thf('48', plain,
% 37.25/5.85 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl150])).
% 37.25/5.85 thf(clause139, conjecture,
% 37.25/5.85 (~( ( hskp13 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 37.25/5.85 ( ~( c0_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_53, negated_conjecture,
% 37.25/5.85 (( hskp13 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c1_1 @ U ) |
% 37.25/5.85 ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 37.25/5.85 ( ~( c0_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause139])).
% 37.25/5.85 thf(zip_derived_cl138, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i]:
% 37.25/5.85 ( (hskp13)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c1_1 @ X0)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | ~ (c0_1 @ X0)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X1)
% 37.25/5.85 | ~ (c0_1 @ X1))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_53])).
% 37.25/5.85 thf(zip_derived_cl473, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl138])).
% 37.25/5.85 thf(clause79, conjecture, (~( ( ~( hskp21 ) ) | ( ~( c1_1 @ a42 ) ) ))).
% 37.25/5.85 thf(zf_stmt_54, negated_conjecture, (( ~( hskp21 ) ) | ( ~( c1_1 @ a42 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause79])).
% 37.25/5.85 thf(zip_derived_cl78, plain, ((~ (hskp21) | ~ (c1_1 @ a42))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_54])).
% 37.25/5.85 thf(zip_derived_cl313, plain, ((~ (c1_1 @ a42)) <= (~ ( (c1_1 @ a42)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl78])).
% 37.25/5.85 thf(zip_derived_cl1152, plain,
% 37.25/5.85 (((~ (c3_1 @ a42) | ~ (c0_1 @ a42)))
% 37.25/5.85 <= (~ ( (c1_1 @ a42)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl313])).
% 37.25/5.85 thf('49', plain,
% 37.25/5.85 (~ ( (c0_1 @ a42)) | ~ ( (c3_1 @ a42)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ( (c1_1 @ a42))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1152])).
% 37.25/5.85 thf(zip_derived_cl470, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl462, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl135])).
% 37.25/5.85 thf(zip_derived_cl1480, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c0_1 @ X0) | ~ (c3_1 @ X0) | ~ (c3_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl462])).
% 37.25/5.85 thf(zip_derived_cl1486, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1480])).
% 37.25/5.85 thf(clause49, conjecture, (~( ( c3_1 @ a42 ) | ( ~( hskp21 ) ) ))).
% 37.25/5.85 thf(zf_stmt_55, negated_conjecture, (( c3_1 @ a42 ) | ( ~( hskp21 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause49])).
% 37.25/5.85 thf(zip_derived_cl48, plain, (( (c3_1 @ a42) | ~ (hskp21))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_55])).
% 37.25/5.85 thf(zip_derived_cl253, plain, (( (c3_1 @ a42)) <= (( (c3_1 @ a42)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl48])).
% 37.25/5.85 thf(zip_derived_cl2095, plain,
% 37.25/5.85 (( (c0_1 @ a42))
% 37.25/5.85 <= (( (c3_1 @ a42)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1486, zip_derived_cl253])).
% 37.25/5.85 thf(zip_derived_cl253, plain, (( (c3_1 @ a42)) <= (( (c3_1 @ a42)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl48])).
% 37.25/5.85 thf(zip_derived_cl481, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.85 thf(zip_derived_cl614, plain,
% 37.25/5.85 (((~ (c0_1 @ a42) | ~ (c2_1 @ a42)))
% 37.25/5.85 <= (( (c3_1 @ a42)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl481])).
% 37.25/5.85 thf(zip_derived_cl646, plain, ((~ (c0_1 @ a42)) <= (~ ( (c0_1 @ a42)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl614])).
% 37.25/5.85 thf('50', plain,
% 37.25/5.85 (( (c0_1 @ a42)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a42)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl2095, zip_derived_cl646])).
% 37.25/5.85 thf('51', plain,
% 37.25/5.85 (( (hskp24)) |
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (ndr1_0)) |
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl134])).
% 37.25/5.85 thf(zip_derived_cl391, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.85 thf(zip_derived_cl323, plain, ((~ (c1_1 @ a32)) <= (~ ( (c1_1 @ a32)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl83])).
% 37.25/5.85 thf(zip_derived_cl754, plain,
% 37.25/5.85 (((~ (c2_1 @ a32) | (c3_1 @ a32)))
% 37.25/5.85 <= (~ ( (c1_1 @ a32)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl323])).
% 37.25/5.85 thf('52', plain,
% 37.25/5.85 (~ ( (c2_1 @ a32)) | ( (c1_1 @ a32)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.85 ( (c3_1 @ a32))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl754])).
% 37.25/5.85 thf(zip_derived_cl497, plain,
% 37.25/5.85 ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl144])).
% 37.25/5.85 thf(clause85, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c3_1 @ a32 ) ) ))).
% 37.25/5.85 thf(zf_stmt_56, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c3_1 @ a32 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause85])).
% 37.25/5.85 thf(zip_derived_cl84, plain, ((~ (hskp18) | ~ (c3_1 @ a32))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_56])).
% 37.25/5.85 thf(zip_derived_cl325, plain, ((~ (c3_1 @ a32)) <= (~ ( (c3_1 @ a32)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl84])).
% 37.25/5.85 thf(zip_derived_cl1615, plain,
% 37.25/5.85 ((( (c2_1 @ a32) | (c0_1 @ a32)))
% 37.25/5.85 <= (~ ( (c3_1 @ a32)) &
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl325])).
% 37.25/5.85 thf('53', plain,
% 37.25/5.85 (~ (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c2_1 @ a32)) | ( (c3_1 @ a32)) | ( (c0_1 @ a32))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1615])).
% 37.25/5.85 thf(zip_derived_cl430, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.85 thf(clause71, conjecture, (~( ( c3_1 @ a6 ) | ( ~( hskp4 ) ) ))).
% 37.25/5.85 thf(zf_stmt_57, negated_conjecture, (( c3_1 @ a6 ) | ( ~( hskp4 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause71])).
% 37.25/5.85 thf(zip_derived_cl70, plain, (( (c3_1 @ a6) | ~ (hskp4))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_57])).
% 37.25/5.85 thf(zip_derived_cl297, plain, (( (c3_1 @ a6)) <= (( (c3_1 @ a6)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl70])).
% 37.25/5.85 thf(zip_derived_cl796, plain,
% 37.25/5.85 (((~ (c0_1 @ a6) | (c2_1 @ a6)))
% 37.25/5.85 <= (( (c3_1 @ a6)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl297])).
% 37.25/5.85 thf('54', plain,
% 37.25/5.85 (~ ( (c0_1 @ a6)) | ( (c2_1 @ a6)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a6))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl796])).
% 37.25/5.85 thf(zip_derived_cl470, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(clause70, conjecture, (~( ( c1_1 @ a6 ) | ( ~( hskp4 ) ) ))).
% 37.25/5.85 thf(zf_stmt_58, negated_conjecture, (( c1_1 @ a6 ) | ( ~( hskp4 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause70])).
% 37.25/5.85 thf(zip_derived_cl69, plain, (( (c1_1 @ a6) | ~ (hskp4))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_58])).
% 37.25/5.85 thf(zip_derived_cl295, plain, (( (c1_1 @ a6)) <= (( (c1_1 @ a6)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl69])).
% 37.25/5.85 thf(zip_derived_cl932, plain,
% 37.25/5.85 ((( (c0_1 @ a6) | ~ (c3_1 @ a6)))
% 37.25/5.85 <= (( (c1_1 @ a6)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl295])).
% 37.25/5.85 thf('55', plain,
% 37.25/5.85 (( (c0_1 @ a6)) | ~ ( (c1_1 @ a6)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a6))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl932])).
% 37.25/5.85 thf(zip_derived_cl469, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl457, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl134])).
% 37.25/5.85 thf(zip_derived_cl1500, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 ( (c3_1 @ X0) | ~ (c0_1 @ X0) | ~ (c0_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl469, zip_derived_cl457])).
% 37.25/5.85 thf(zip_derived_cl1522, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c0_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1500])).
% 37.25/5.85 thf(clause102, conjecture, (~( ( ~( hskp9 ) ) | ( ~( c3_1 @ a16 ) ) ))).
% 37.25/5.85 thf(zf_stmt_59, negated_conjecture, (( ~( hskp9 ) ) | ( ~( c3_1 @ a16 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause102])).
% 37.25/5.85 thf(zip_derived_cl101, plain, ((~ (hskp9) | ~ (c3_1 @ a16))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_59])).
% 37.25/5.85 thf(zip_derived_cl359, plain, ((~ (c3_1 @ a16)) <= (~ ( (c3_1 @ a16)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl101])).
% 37.25/5.85 thf(zip_derived_cl2353, plain,
% 37.25/5.85 ((~ (c0_1 @ a16))
% 37.25/5.85 <= (~ ( (c3_1 @ a16)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl1522, zip_derived_cl359])).
% 37.25/5.85 thf(clause62, conjecture, (~( ( c0_1 @ a16 ) | ( ~( hskp9 ) ) ))).
% 37.25/5.85 thf(zf_stmt_60, negated_conjecture, (( c0_1 @ a16 ) | ( ~( hskp9 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause62])).
% 37.25/5.85 thf(zip_derived_cl61, plain, (( (c0_1 @ a16) | ~ (hskp9))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_60])).
% 37.25/5.85 thf(zip_derived_cl279, plain, (( (c0_1 @ a16)) <= (( (c0_1 @ a16)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl61])).
% 37.25/5.85 thf('56', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c3_1 @ a16)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c0_1 @ a16))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl2353, zip_derived_cl279])).
% 37.25/5.85 thf(zip_derived_cl1520, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c0_1 @ X0) | (c2_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1518])).
% 37.25/5.85 thf(zip_derived_cl359, plain, ((~ (c3_1 @ a16)) <= (~ ( (c3_1 @ a16)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl101])).
% 37.25/5.85 thf(zip_derived_cl6750, plain,
% 37.25/5.85 ((( (c2_1 @ a16) | ~ (c0_1 @ a16)))
% 37.25/5.85 <= (~ ( (c3_1 @ a16)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) &
% 37.25/5.85 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl1520, zip_derived_cl359])).
% 37.25/5.85 thf('57', plain,
% 37.25/5.85 (( (c2_1 @ a16)) |
% 37.25/5.85 ~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c0_1 @ a16)) | ( (c3_1 @ a16))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl6750])).
% 37.25/5.85 thf(clause83, conjecture, (~( ( ~( hskp18 ) ) | ( ~( c0_1 @ a32 ) ) ))).
% 37.25/5.85 thf(zf_stmt_61, negated_conjecture, (( ~( hskp18 ) ) | ( ~( c0_1 @ a32 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause83])).
% 37.25/5.85 thf(zip_derived_cl82, plain, ((~ (hskp18) | ~ (c0_1 @ a32))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_61])).
% 37.25/5.85 thf('58', plain, (~ ( (c0_1 @ a32)) | ~ ( (hskp18))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl82])).
% 37.25/5.85 thf('59', plain,
% 37.25/5.85 (( (hskp1)) |
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (ndr1_0)) |
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(zip_derived_cl398, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl119])).
% 37.25/5.85 thf(clause81, conjecture, (~( ( ~( hskp20 ) ) | ( ~( c3_1 @ a37 ) ) ))).
% 37.25/5.85 thf(zf_stmt_62, negated_conjecture, (( ~( hskp20 ) ) | ( ~( c3_1 @ a37 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause81])).
% 37.25/5.85 thf(zip_derived_cl80, plain, ((~ (hskp20) | ~ (c3_1 @ a37))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_62])).
% 37.25/5.85 thf(zip_derived_cl317, plain, ((~ (c3_1 @ a37)) <= (~ ( (c3_1 @ a37)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl80])).
% 37.25/5.85 thf(zip_derived_cl967, plain,
% 37.25/5.85 ((( (c0_1 @ a37) | ~ (c2_1 @ a37)))
% 37.25/5.85 <= (~ ( (c3_1 @ a37)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl317])).
% 37.25/5.85 thf('60', plain,
% 37.25/5.85 (~ ( (c2_1 @ a37)) | ( (c0_1 @ a37)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c3_1 @ a37))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl967])).
% 37.25/5.85 thf(clause80, conjecture, (~( ( ~( hskp20 ) ) | ( ~( c0_1 @ a37 ) ) ))).
% 37.25/5.85 thf(zf_stmt_63, negated_conjecture, (( ~( hskp20 ) ) | ( ~( c0_1 @ a37 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause80])).
% 37.25/5.85 thf(zip_derived_cl79, plain, ((~ (hskp20) | ~ (c0_1 @ a37))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_63])).
% 37.25/5.85 thf('61', plain, (~ ( (c0_1 @ a37)) | ~ ( (hskp20))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl79])).
% 37.25/5.85 thf('62', plain, (~ ( (c3_1 @ a37)) | ~ ( (hskp20))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl80])).
% 37.25/5.85 thf('63', plain,
% 37.25/5.85 (( (hskp20)) |
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ( (hskp26)) | ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl129])).
% 37.25/5.85 thf(clause149, conjecture,
% 37.25/5.85 (~( ( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 37.25/5.85 ( c1_1 @ V ) | ( c2_1 @ U ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 37.25/5.85 thf(zf_stmt_64, negated_conjecture,
% 37.25/5.85 (( c3_1 @ W ) | ( c2_1 @ W ) | ( c0_1 @ W ) | ( c3_1 @ V ) |
% 37.25/5.85 ( c1_1 @ V ) | ( c2_1 @ U ) | ( ~( c0_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.85 ( ~( c3_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause149])).
% 37.25/5.85 thf(zip_derived_cl148, plain,
% 37.25/5.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.85 ( (c3_1 @ X0)
% 37.25/5.85 | (c2_1 @ X0)
% 37.25/5.85 | (c0_1 @ X0)
% 37.25/5.85 | (c3_1 @ X1)
% 37.25/5.85 | (c1_1 @ X1)
% 37.25/5.85 | (c2_1 @ X2)
% 37.25/5.85 | ~ (c0_1 @ X1)
% 37.25/5.85 | ~ (ndr1_0)
% 37.25/5.85 | ~ (c3_1 @ X2)
% 37.25/5.85 | ~ (c1_1 @ X2))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_64])).
% 37.25/5.85 thf('64', plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (ndr1_0)) |
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl148])).
% 37.25/5.85 thf(zip_derived_cl481, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.85 thf(zip_derived_cl438, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl129])).
% 37.25/5.85 thf(zip_derived_cl1060, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl438])).
% 37.25/5.85 thf(zip_derived_cl1068, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1060])).
% 37.25/5.85 thf(clause53, conjecture, (~( ( c0_1 @ a31 ) | ( ~( hskp17 ) ) ))).
% 37.25/5.85 thf(zf_stmt_65, negated_conjecture, (( c0_1 @ a31 ) | ( ~( hskp17 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause53])).
% 37.25/5.85 thf(zip_derived_cl52, plain, (( (c0_1 @ a31) | ~ (hskp17))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_65])).
% 37.25/5.85 thf(zip_derived_cl261, plain, (( (c0_1 @ a31)) <= (( (c0_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl52])).
% 37.25/5.85 thf(zip_derived_cl1691, plain,
% 37.25/5.85 ((~ (c2_1 @ a31))
% 37.25/5.85 <= (( (c0_1 @ a31)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1068, zip_derived_cl261])).
% 37.25/5.85 thf(clause54, conjecture, (~( ( c2_1 @ a31 ) | ( ~( hskp17 ) ) ))).
% 37.25/5.85 thf(zf_stmt_66, negated_conjecture, (( c2_1 @ a31 ) | ( ~( hskp17 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause54])).
% 37.25/5.85 thf(zip_derived_cl53, plain, (( (c2_1 @ a31) | ~ (hskp17))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_66])).
% 37.25/5.85 thf(zip_derived_cl263, plain, (( (c2_1 @ a31)) <= (( (c2_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl53])).
% 37.25/5.85 thf('65', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c0_1 @ a31)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c2_1 @ a31))),
% 37.25/5.85 inference('s_sup+', [status(thm)],
% 37.25/5.85 [zip_derived_cl1691, zip_derived_cl263])).
% 37.25/5.85 thf(zip_derived_cl391, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.85 thf(clause86, conjecture, (~( ( ~( hskp17 ) ) | ( ~( c1_1 @ a31 ) ) ))).
% 37.25/5.85 thf(zf_stmt_67, negated_conjecture, (( ~( hskp17 ) ) | ( ~( c1_1 @ a31 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause86])).
% 37.25/5.85 thf(zip_derived_cl85, plain, ((~ (hskp17) | ~ (c1_1 @ a31))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_67])).
% 37.25/5.85 thf(zip_derived_cl327, plain, ((~ (c1_1 @ a31)) <= (~ ( (c1_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl85])).
% 37.25/5.85 thf(zip_derived_cl750, plain,
% 37.25/5.85 (((~ (c2_1 @ a31) | (c3_1 @ a31)))
% 37.25/5.85 <= (~ ( (c1_1 @ a31)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl327])).
% 37.25/5.85 thf(zip_derived_cl2428, plain, (( (c3_1 @ a31)) <= (( (c3_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl750])).
% 37.25/5.85 thf(zip_derived_cl453, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(zip_derived_cl442, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.85 thf(zip_derived_cl1103, plain,
% 37.25/5.85 ((![X0 : $i]:
% 37.25/5.85 (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl442])).
% 37.25/5.85 thf(zip_derived_cl1127, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl1103])).
% 37.25/5.85 thf(zip_derived_cl2435, plain,
% 37.25/5.85 (((~ (c0_1 @ a31) | ~ (c2_1 @ a31)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) &
% 37.25/5.85 ( (c3_1 @ a31)))),
% 37.25/5.85 inference('s_sup-', [status(thm)],
% 37.25/5.85 [zip_derived_cl2428, zip_derived_cl1127])).
% 37.25/5.85 thf('66', plain,
% 37.25/5.85 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a31)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c2_1 @ a31)) | ~ ( (c0_1 @ a31))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl2435])).
% 37.25/5.85 thf(zip_derived_cl497, plain,
% 37.25/5.85 ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl144])).
% 37.25/5.85 thf(zip_derived_cl317, plain, ((~ (c3_1 @ a37)) <= (~ ( (c3_1 @ a37)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl80])).
% 37.25/5.85 thf(zip_derived_cl1604, plain,
% 37.25/5.85 ((( (c2_1 @ a37) | (c0_1 @ a37)))
% 37.25/5.85 <= (~ ( (c3_1 @ a37)) &
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl317])).
% 37.25/5.85 thf('67', plain,
% 37.25/5.85 (( (c2_1 @ a37)) |
% 37.25/5.85 ~ (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ( (c0_1 @ a37)) | ( (c3_1 @ a37))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1604])).
% 37.25/5.85 thf(zip_derived_cl453, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(zip_derived_cl313, plain, ((~ (c1_1 @ a42)) <= (~ ( (c1_1 @ a42)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl78])).
% 37.25/5.85 thf(zip_derived_cl1110, plain,
% 37.25/5.85 (((~ (c3_1 @ a42) | ~ (c2_1 @ a42)))
% 37.25/5.85 <= (~ ( (c1_1 @ a42)) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl313])).
% 37.25/5.85 thf('68', plain,
% 37.25/5.85 (~ ( (c2_1 @ a42)) | ~ ( (c3_1 @ a42)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ( (c1_1 @ a42))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1110])).
% 37.25/5.85 thf('69', plain,
% 37.25/5.85 (( (hskp25)) |
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (hskp26)) | ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl119])).
% 37.25/5.85 thf(zip_derived_cl430, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.85 thf(clause65, conjecture, (~( ( c3_1 @ a14 ) | ( ~( hskp7 ) ) ))).
% 37.25/5.85 thf(zf_stmt_68, negated_conjecture, (( c3_1 @ a14 ) | ( ~( hskp7 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause65])).
% 37.25/5.85 thf(zip_derived_cl64, plain, (( (c3_1 @ a14) | ~ (hskp7))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_68])).
% 37.25/5.85 thf(zip_derived_cl285, plain, (( (c3_1 @ a14)) <= (( (c3_1 @ a14)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl64])).
% 37.25/5.85 thf(zip_derived_cl794, plain,
% 37.25/5.85 (((~ (c0_1 @ a14) | (c2_1 @ a14)))
% 37.25/5.85 <= (( (c3_1 @ a14)) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl430, zip_derived_cl285])).
% 37.25/5.85 thf('70', plain,
% 37.25/5.85 (~ ( (c0_1 @ a14)) | ( (c2_1 @ a14)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c3_1 @ a14))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl794])).
% 37.25/5.85 thf(zip_derived_cl447, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl131])).
% 37.25/5.85 thf(zip_derived_cl323, plain, ((~ (c1_1 @ a32)) <= (~ ( (c1_1 @ a32)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl83])).
% 37.25/5.85 thf(zip_derived_cl1345, plain,
% 37.25/5.85 ((( (c0_1 @ a32) | (c3_1 @ a32)))
% 37.25/5.85 <= (~ ( (c1_1 @ a32)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl323])).
% 37.25/5.85 thf('71', plain,
% 37.25/5.85 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a32)) | ( (c1_1 @ a32)) | ( (c3_1 @ a32))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1345])).
% 37.25/5.85 thf('72', plain,
% 37.25/5.85 (( (hskp4)) |
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl469, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.85 thf(zip_derived_cl327, plain, ((~ (c1_1 @ a31)) <= (~ ( (c1_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl85])).
% 37.25/5.85 thf(zip_derived_cl1508, plain,
% 37.25/5.85 ((( (c3_1 @ a31) | ~ (c0_1 @ a31)))
% 37.25/5.85 <= (~ ( (c1_1 @ a31)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl469, zip_derived_cl327])).
% 37.25/5.85 thf('73', plain,
% 37.25/5.85 (( (c3_1 @ a31)) | ( (c1_1 @ a31)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c0_1 @ a31))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1508])).
% 37.25/5.85 thf('74', plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.85 ( (hskp7)) | ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.85 thf(zip_derived_cl410, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.85 thf(zip_derived_cl377, plain, ((~ (c3_1 @ a5)) <= (~ ( (c3_1 @ a5)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl110])).
% 37.25/5.85 thf(zip_derived_cl1197, plain,
% 37.25/5.85 (((~ (c0_1 @ a5) | (c2_1 @ a5)))
% 37.25/5.85 <= (~ ( (c3_1 @ a5)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl377])).
% 37.25/5.85 thf('75', plain,
% 37.25/5.85 (~ ( (c0_1 @ a5)) | ( (c2_1 @ a5)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ( (c3_1 @ a5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1197])).
% 37.25/5.85 thf('76', plain, (~ ( (c1_1 @ a5)) | ~ ( (hskp3))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl108])).
% 37.25/5.85 thf(clause110, conjecture, (~( ( ~( hskp3 ) ) | ( ~( c2_1 @ a5 ) ) ))).
% 37.25/5.85 thf(zf_stmt_69, negated_conjecture, (( ~( hskp3 ) ) | ( ~( c2_1 @ a5 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause110])).
% 37.25/5.85 thf(zip_derived_cl109, plain, ((~ (hskp3) | ~ (c2_1 @ a5))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_69])).
% 37.25/5.85 thf('77', plain, (~ ( (c2_1 @ a5)) | ~ ( (hskp3))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl109])).
% 37.25/5.85 thf('78', plain, (~ ( (c3_1 @ a5)) | ~ ( (hskp3))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl110])).
% 37.25/5.85 thf('79', plain,
% 37.25/5.85 (( (hskp3)) | ( (hskp2)) |
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (ndr1_0))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl118])).
% 37.25/5.85 thf(zip_derived_cl946, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 37.25/5.85 thf(zip_derived_cl247, plain, (( (c3_1 @ a53)) <= (( (c3_1 @ a53)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl45])).
% 37.25/5.85 thf(zip_derived_cl3310, plain,
% 37.25/5.85 ((( (c0_1 @ a53) | ~ (c2_1 @ a53)))
% 37.25/5.85 <= (( (c3_1 @ a53)) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl946, zip_derived_cl247])).
% 37.25/5.85 thf('80', plain,
% 37.25/5.85 (( (c0_1 @ a53)) | ~ ( (c3_1 @ a53)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c2_1 @ a53))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl3310])).
% 37.25/5.85 thf(zip_derived_cl473, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl138])).
% 37.25/5.85 thf(zip_derived_cl327, plain, ((~ (c1_1 @ a31)) <= (~ ( (c1_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl85])).
% 37.25/5.85 thf(zip_derived_cl1153, plain,
% 37.25/5.85 (((~ (c3_1 @ a31) | ~ (c0_1 @ a31)))
% 37.25/5.85 <= (~ ( (c1_1 @ a31)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl327])).
% 37.25/5.85 thf('81', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c3_1 @ a31)) | ~ ( (c0_1 @ a31)) | ( (c1_1 @ a31))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1153])).
% 37.25/5.85 thf(zip_derived_cl453, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.85 thf(zip_derived_cl327, plain, ((~ (c1_1 @ a31)) <= (~ ( (c1_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl85])).
% 37.25/5.85 thf(zip_derived_cl1111, plain,
% 37.25/5.85 (((~ (c3_1 @ a31) | ~ (c2_1 @ a31)))
% 37.25/5.85 <= (~ ( (c1_1 @ a31)) &
% 37.25/5.85 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl327])).
% 37.25/5.85 thf('82', plain,
% 37.25/5.85 (~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c3_1 @ a31)) | ~ ( (c2_1 @ a31)) | ( (c1_1 @ a31))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1111])).
% 37.25/5.85 thf(zip_derived_cl449, plain,
% 37.25/5.85 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.85 thf(zip_derived_cl327, plain, ((~ (c1_1 @ a31)) <= (~ ( (c1_1 @ a31)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl85])).
% 37.25/5.85 thf(zip_derived_cl1082, plain,
% 37.25/5.85 (((~ (c2_1 @ a31) | ~ (c0_1 @ a31)))
% 37.25/5.85 <= (~ ( (c1_1 @ a31)) &
% 37.25/5.85 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl327])).
% 37.25/5.85 thf('83', plain,
% 37.25/5.85 (~ ( (c0_1 @ a31)) | ( (c1_1 @ a31)) |
% 37.25/5.85 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 37.25/5.85 ~ ( (c2_1 @ a31))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1082])).
% 37.25/5.85 thf(clause11, conjecture, (~( ( ndr1_0 ) | ( ~( hskp17 ) ) ))).
% 37.25/5.85 thf(zf_stmt_70, negated_conjecture, (( ndr1_0 ) | ( ~( hskp17 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause11])).
% 37.25/5.85 thf(zip_derived_cl10, plain, (( (ndr1_0) | ~ (hskp17))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_70])).
% 37.25/5.85 thf('84', plain, (( (ndr1_0)) | ~ ( (hskp17))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl10])).
% 37.25/5.85 thf(zip_derived_cl410, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.85 thf(clause113, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c3_1 @ a4 ) ) ))).
% 37.25/5.85 thf(zf_stmt_71, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c3_1 @ a4 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause113])).
% 37.25/5.85 thf(zip_derived_cl112, plain, ((~ (hskp2) | ~ (c3_1 @ a4))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_71])).
% 37.25/5.85 thf(zip_derived_cl381, plain, ((~ (c3_1 @ a4)) <= (~ ( (c3_1 @ a4)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl112])).
% 37.25/5.85 thf(zip_derived_cl1193, plain,
% 37.25/5.85 (((~ (c0_1 @ a4) | (c2_1 @ a4)))
% 37.25/5.85 <= (~ ( (c3_1 @ a4)) &
% 37.25/5.85 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl381])).
% 37.25/5.85 thf('85', plain,
% 37.25/5.85 (~ ( (c0_1 @ a4)) | ( (c2_1 @ a4)) |
% 37.25/5.85 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.85 ( (c3_1 @ a4))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1193])).
% 37.25/5.85 thf('86', plain, (( (c1_1 @ a4)) | ~ ( (hskp2))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl71])).
% 37.25/5.85 thf(clause112, conjecture, (~( ( ~( hskp2 ) ) | ( ~( c2_1 @ a4 ) ) ))).
% 37.25/5.85 thf(zf_stmt_72, negated_conjecture, (( ~( hskp2 ) ) | ( ~( c2_1 @ a4 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause112])).
% 37.25/5.85 thf(zip_derived_cl111, plain, ((~ (hskp2) | ~ (c2_1 @ a4))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_72])).
% 37.25/5.85 thf('87', plain, (~ ( (c2_1 @ a4)) | ~ ( (hskp2))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl111])).
% 37.25/5.85 thf('88', plain, (~ ( (c3_1 @ a4)) | ~ ( (hskp2))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl112])).
% 37.25/5.85 thf(zip_derived_cl517, plain,
% 37.25/5.85 ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.85 <= ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl149])).
% 37.25/5.85 thf(zip_derived_cl299, plain, (( (c1_1 @ a4)) <= (( (c1_1 @ a4)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl71])).
% 37.25/5.85 thf(zip_derived_cl1383, plain,
% 37.25/5.85 ((( (c3_1 @ a4) | (c0_1 @ a4)))
% 37.25/5.85 <= (( (c1_1 @ a4)) &
% 37.25/5.85 (![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl299])).
% 37.25/5.85 thf('89', plain,
% 37.25/5.85 (( (c0_1 @ a4)) | ( (c3_1 @ a4)) |
% 37.25/5.85 ~ (![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.85 ~ ( (c1_1 @ a4))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1383])).
% 37.25/5.85 thf(zip_derived_cl450, plain,
% 37.25/5.85 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.85 thf(zip_derived_cl373, plain, ((~ (c1_1 @ a5)) <= (~ ( (c1_1 @ a5)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl108])).
% 37.25/5.85 thf(zip_derived_cl1439, plain,
% 37.25/5.85 ((( (c0_1 @ a5) | (c2_1 @ a5)))
% 37.25/5.85 <= (~ ( (c1_1 @ a5)) &
% 37.25/5.85 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl373])).
% 37.25/5.85 thf('90', plain,
% 37.25/5.85 (~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ( (c0_1 @ a5)) | ( (c1_1 @ a5)) | ( (c2_1 @ a5))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl1439])).
% 37.25/5.85 thf(clause22, conjecture, (~( ( ndr1_0 ) | ( ~( hskp6 ) ) ))).
% 37.25/5.85 thf(zf_stmt_73, negated_conjecture, (( ndr1_0 ) | ( ~( hskp6 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause22])).
% 37.25/5.85 thf(zip_derived_cl21, plain, (( (ndr1_0) | ~ (hskp6))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_73])).
% 37.25/5.85 thf('91', plain, (( (ndr1_0)) | ~ ( (hskp6))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl21])).
% 37.25/5.85 thf('92', plain,
% 37.25/5.85 (( (hskp24)) | ( (hskp9)) | ~ ( (ndr1_0)) |
% 37.25/5.85 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.85 thf(zip_derived_cl414, plain,
% 37.25/5.85 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.85 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.85 thf(clause57, conjecture, (~( ( c1_1 @ a25 ) | ( ~( hskp15 ) ) ))).
% 37.25/5.85 thf(zf_stmt_74, negated_conjecture, (( c1_1 @ a25 ) | ( ~( hskp15 ) )),
% 37.25/5.85 inference('cnf.neg', [status(esa)], [clause57])).
% 37.25/5.85 thf(zip_derived_cl56, plain, (( (c1_1 @ a25) | ~ (hskp15))),
% 37.25/5.85 inference('cnf', [status(esa)], [zf_stmt_74])).
% 37.25/5.85 thf(zip_derived_cl269, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl56])).
% 37.25/5.85 thf(zip_derived_cl715, plain,
% 37.25/5.85 ((( (c0_1 @ a25) | ~ (c2_1 @ a25)))
% 37.25/5.85 <= (( (c1_1 @ a25)) &
% 37.25/5.85 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.85 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl269])).
% 37.25/5.85 thf('93', plain,
% 37.25/5.85 (( (c0_1 @ a25)) | ~ ( (c1_1 @ a25)) |
% 37.25/5.85 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.85 ~ ( (c2_1 @ a25))),
% 37.25/5.85 inference('split', [status(esa)], [zip_derived_cl715])).
% 37.25/5.86 thf(zip_derived_cl269, plain, (( (c1_1 @ a25)) <= (( (c1_1 @ a25)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl56])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl650, plain,
% 37.25/5.86 (((~ (c2_1 @ a25) | ~ (c0_1 @ a25)))
% 37.25/5.86 <= (( (c1_1 @ a25)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl442])).
% 37.25/5.86 thf('94', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a25)) | ~ ( (c1_1 @ a25)) | ~ ( (c0_1 @ a25))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl650])).
% 37.25/5.86 thf('95', plain, (( (c1_1 @ a25)) | ~ ( (hskp15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl56])).
% 37.25/5.86 thf(zip_derived_cl2403, plain, (( (c2_1 @ a53)) <= (( (c2_1 @ a53)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl791])).
% 37.25/5.86 thf(zip_derived_cl860, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 37.25/5.86 thf(zip_derived_cl305, plain, ((~ (c0_1 @ a53)) <= (~ ( (c0_1 @ a53)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl74])).
% 37.25/5.86 thf(zip_derived_cl2158, plain,
% 37.25/5.86 ((~ (c2_1 @ a53))
% 37.25/5.86 <= (~ ( (c0_1 @ a53)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl860, zip_derived_cl305])).
% 37.25/5.86 thf('96', plain,
% 37.25/5.86 (( (c0_1 @ a53)) | ~ ( (c2_1 @ a53)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.86 inference('s_sup-', [status(thm)],
% 37.25/5.86 [zip_derived_cl2403, zip_derived_cl2158])).
% 37.25/5.86 thf(zip_derived_cl414, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.86 thf(clause35, conjecture, (~( ( c1_1 @ a11 ) | ( ~( hskp27 ) ) ))).
% 37.25/5.86 thf(zf_stmt_75, negated_conjecture, (( c1_1 @ a11 ) | ( ~( hskp27 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause35])).
% 37.25/5.86 thf(zip_derived_cl34, plain, (( (c1_1 @ a11) | ~ (hskp27))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_75])).
% 37.25/5.86 thf(zip_derived_cl225, plain, (( (c1_1 @ a11)) <= (( (c1_1 @ a11)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl34])).
% 37.25/5.86 thf(zip_derived_cl710, plain,
% 37.25/5.86 ((( (c0_1 @ a11) | ~ (c2_1 @ a11)))
% 37.25/5.86 <= (( (c1_1 @ a11)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl225])).
% 37.25/5.86 thf('97', plain,
% 37.25/5.86 (( (c0_1 @ a11)) | ~ ( (c1_1 @ a11)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a11))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl710])).
% 37.25/5.86 thf(zip_derived_cl414, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.86 thf(clause43, conjecture, (~( ( c1_1 @ a3 ) | ( ~( hskp24 ) ) ))).
% 37.25/5.86 thf(zf_stmt_76, negated_conjecture, (( c1_1 @ a3 ) | ( ~( hskp24 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause43])).
% 37.25/5.86 thf(zip_derived_cl42, plain, (( (c1_1 @ a3) | ~ (hskp24))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_76])).
% 37.25/5.86 thf(zip_derived_cl241, plain, (( (c1_1 @ a3)) <= (( (c1_1 @ a3)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl42])).
% 37.25/5.86 thf(zip_derived_cl712, plain,
% 37.25/5.86 ((( (c0_1 @ a3) | ~ (c2_1 @ a3)))
% 37.25/5.86 <= (( (c1_1 @ a3)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl241])).
% 37.25/5.86 thf('98', plain,
% 37.25/5.86 (( (c0_1 @ a3)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c1_1 @ a3)) | ~ ( (c2_1 @ a3))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl712])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl225, plain, (( (c1_1 @ a11)) <= (( (c1_1 @ a11)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl34])).
% 37.25/5.86 thf(zip_derived_cl809, plain,
% 37.25/5.86 ((( (c2_1 @ a11) | ~ (c3_1 @ a11)))
% 37.25/5.86 <= (( (c1_1 @ a11)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl225])).
% 37.25/5.86 thf('99', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ( (c2_1 @ a11)) | ~ ( (c3_1 @ a11)) | ~ ( (c1_1 @ a11))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl809])).
% 37.25/5.86 thf(clause34, conjecture, (~( ( c0_1 @ a11 ) | ( ~( hskp27 ) ) ))).
% 37.25/5.86 thf(zf_stmt_77, negated_conjecture, (( c0_1 @ a11 ) | ( ~( hskp27 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause34])).
% 37.25/5.86 thf(zip_derived_cl33, plain, (( (c0_1 @ a11) | ~ (hskp27))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_77])).
% 37.25/5.86 thf('100', plain, (( (c0_1 @ a11)) | ~ ( (hskp27))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl33])).
% 37.25/5.86 thf('101', plain, (( (c1_1 @ a11)) | ~ ( (hskp27))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl34])).
% 37.25/5.86 thf('102', plain, (( (c3_1 @ a11)) | ~ ( (hskp27))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl35])).
% 37.25/5.86 thf(zip_derived_cl225, plain, (( (c1_1 @ a11)) <= (( (c1_1 @ a11)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl34])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl548, plain,
% 37.25/5.86 (((~ (c2_1 @ a11) | ~ (c0_1 @ a11)))
% 37.25/5.86 <= (( (c1_1 @ a11)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl442])).
% 37.25/5.86 thf('103', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a11)) | ~ ( (c1_1 @ a11)) | ~ ( (c0_1 @ a11))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl548])).
% 37.25/5.86 thf('104', plain,
% 37.25/5.86 (( (hskp12)) | ( (hskp27)) |
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 37.25/5.86 thf(zip_derived_cl470, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.86 thf(zip_derived_cl450, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.86 thf(zip_derived_cl1441, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 ( (c0_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl450])).
% 37.25/5.86 thf(zip_derived_cl1448, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c3_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1441])).
% 37.25/5.86 thf(clause74, conjecture, (~( ( c3_1 @ a1 ) | ( ~( hskp0 ) ) ))).
% 37.25/5.86 thf(zf_stmt_78, negated_conjecture, (( c3_1 @ a1 ) | ( ~( hskp0 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause74])).
% 37.25/5.86 thf(zip_derived_cl73, plain, (( (c3_1 @ a1) | ~ (hskp0))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_78])).
% 37.25/5.86 thf(zip_derived_cl303, plain, (( (c3_1 @ a1)) <= (( (c3_1 @ a1)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl73])).
% 37.25/5.86 thf(zip_derived_cl4994, plain,
% 37.25/5.86 ((( (c0_1 @ a1) | (c2_1 @ a1)))
% 37.25/5.86 <= (( (c3_1 @ a1)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1448, zip_derived_cl303])).
% 37.25/5.86 thf('105', plain,
% 37.25/5.86 (( (c0_1 @ a1)) | ~ ( (c3_1 @ a1)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ( (c2_1 @ a1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl4994])).
% 37.25/5.86 thf(clause95, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c0_1 @ a21 ) ) ))).
% 37.25/5.86 thf(zf_stmt_79, negated_conjecture, (( ~( hskp12 ) ) | ( ~( c0_1 @ a21 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause95])).
% 37.25/5.86 thf(zip_derived_cl94, plain, ((~ (hskp12) | ~ (c0_1 @ a21))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_79])).
% 37.25/5.86 thf('106', plain, (~ ( (hskp12)) | ~ ( (c0_1 @ a21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl94])).
% 37.25/5.86 thf(clause96, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c1_1 @ a21 ) ) ))).
% 37.25/5.86 thf(zf_stmt_80, negated_conjecture, (( ~( hskp12 ) ) | ( ~( c1_1 @ a21 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause96])).
% 37.25/5.86 thf(zip_derived_cl95, plain, ((~ (hskp12) | ~ (c1_1 @ a21))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_80])).
% 37.25/5.86 thf('107', plain, (~ ( (hskp12)) | ~ ( (c1_1 @ a21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl95])).
% 37.25/5.86 thf(clause97, conjecture, (~( ( ~( hskp12 ) ) | ( ~( c2_1 @ a21 ) ) ))).
% 37.25/5.86 thf(zf_stmt_81, negated_conjecture, (( ~( hskp12 ) ) | ( ~( c2_1 @ a21 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause97])).
% 37.25/5.86 thf(zip_derived_cl96, plain, ((~ (hskp12) | ~ (c2_1 @ a21))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_81])).
% 37.25/5.86 thf('108', plain, (~ ( (hskp12)) | ~ ( (c2_1 @ a21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl96])).
% 37.25/5.86 thf(zip_derived_cl450, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.86 thf(zip_derived_cl347, plain, ((~ (c1_1 @ a21)) <= (~ ( (c1_1 @ a21)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl95])).
% 37.25/5.86 thf(zip_derived_cl1438, plain,
% 37.25/5.86 ((( (c0_1 @ a21) | (c2_1 @ a21)))
% 37.25/5.86 <= (~ ( (c1_1 @ a21)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl347])).
% 37.25/5.86 thf('109', plain,
% 37.25/5.86 (( (c0_1 @ a21)) | ( (c1_1 @ a21)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ( (c2_1 @ a21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1438])).
% 37.25/5.86 thf(clause143, conjecture,
% 37.25/5.86 (~( ( hskp10 ) | ( c0_1 @ V ) | ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 37.25/5.86 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 37.25/5.86 ( ~( c2_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_82, negated_conjecture,
% 37.25/5.86 (( hskp10 ) | ( c0_1 @ V ) | ( c1_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 37.25/5.86 ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 37.25/5.86 ( ~( c2_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause143])).
% 37.25/5.86 thf(zip_derived_cl142, plain,
% 37.25/5.86 (![X0 : $i, X1 : $i]:
% 37.25/5.86 ( (hskp10)
% 37.25/5.86 | (c0_1 @ X0)
% 37.25/5.86 | (c1_1 @ X1)
% 37.25/5.86 | ~ (c3_1 @ X0)
% 37.25/5.86 | ~ (c1_1 @ X0)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c3_1 @ X1)
% 37.25/5.86 | ~ (c2_1 @ X1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_82])).
% 37.25/5.86 thf('110', plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ( (hskp10)) | ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl142])).
% 37.25/5.86 thf('111', plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0)) |
% 37.25/5.86 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl144])).
% 37.25/5.86 thf('112', plain,
% 37.25/5.86 (( (hskp0)) |
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 37.25/5.86 ~ ( (ndr1_0)) |
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.86 thf('113', plain, (( (c3_1 @ a1)) | ~ ( (hskp0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl73])).
% 37.25/5.86 thf(clause116, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c0_1 @ a1 ) ) ))).
% 37.25/5.86 thf(zf_stmt_83, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c0_1 @ a1 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause116])).
% 37.25/5.86 thf(zip_derived_cl115, plain, ((~ (hskp0) | ~ (c0_1 @ a1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_83])).
% 37.25/5.86 thf('114', plain, (~ ( (hskp0)) | ~ ( (c0_1 @ a1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl115])).
% 37.25/5.86 thf(clause117, conjecture, (~( ( ~( hskp0 ) ) | ( ~( c2_1 @ a1 ) ) ))).
% 37.25/5.86 thf(zf_stmt_84, negated_conjecture, (( ~( hskp0 ) ) | ( ~( c2_1 @ a1 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause117])).
% 37.25/5.86 thf(zip_derived_cl116, plain, ((~ (hskp0) | ~ (c2_1 @ a1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_84])).
% 37.25/5.86 thf('115', plain, (~ ( (hskp0)) | ~ ( (c2_1 @ a1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl116])).
% 37.25/5.86 thf(zip_derived_cl485, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.86 thf(zip_derived_cl303, plain, (( (c3_1 @ a1)) <= (( (c3_1 @ a1)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl73])).
% 37.25/5.86 thf(zip_derived_cl1261, plain,
% 37.25/5.86 ((( (c0_1 @ a1) | (c2_1 @ a1)))
% 37.25/5.86 <= (( (c3_1 @ a1)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl485, zip_derived_cl303])).
% 37.25/5.86 thf('116', plain,
% 37.25/5.86 (( (c0_1 @ a1)) | ( (c2_1 @ a1)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1261])).
% 37.25/5.86 thf(zip_derived_cl449, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl1074, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl442])).
% 37.25/5.86 thf(zip_derived_cl1097, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1074])).
% 37.25/5.86 thf(clause37, conjecture, (~( ( c0_1 @ a10 ) | ( ~( hskp26 ) ) ))).
% 37.25/5.86 thf(zf_stmt_85, negated_conjecture, (( c0_1 @ a10 ) | ( ~( hskp26 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause37])).
% 37.25/5.86 thf(zip_derived_cl36, plain, (( (c0_1 @ a10) | ~ (hskp26))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_85])).
% 37.25/5.86 thf(zip_derived_cl229, plain, (( (c0_1 @ a10)) <= (( (c0_1 @ a10)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl36])).
% 37.25/5.86 thf(zip_derived_cl1714, plain,
% 37.25/5.86 ((~ (c2_1 @ a10))
% 37.25/5.86 <= (( (c0_1 @ a10)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1097, zip_derived_cl229])).
% 37.25/5.86 thf(zip_derived_cl231, plain, (( (c2_1 @ a10)) <= (( (c2_1 @ a10)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 37.25/5.86 thf('117', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | (c1_1 @ X1))) |
% 37.25/5.86 ~ ( (c0_1 @ a10)) | ~ ( (c2_1 @ a10))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1714, zip_derived_cl231])).
% 37.25/5.86 thf(zip_derived_cl462, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl135])).
% 37.25/5.86 thf(zip_derived_cl313, plain, ((~ (c1_1 @ a42)) <= (~ ( (c1_1 @ a42)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl78])).
% 37.25/5.86 thf(zip_derived_cl1471, plain,
% 37.25/5.86 ((( (c0_1 @ a42) | ~ (c3_1 @ a42)))
% 37.25/5.86 <= (~ ( (c1_1 @ a42)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl462, zip_derived_cl313])).
% 37.25/5.86 thf('118', plain,
% 37.25/5.86 (( (c0_1 @ a42)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a42)) | ( (c1_1 @ a42))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1471])).
% 37.25/5.86 thf(clause48, conjecture, (~( ( c2_1 @ a42 ) | ( ~( hskp21 ) ) ))).
% 37.25/5.86 thf(zf_stmt_86, negated_conjecture, (( c2_1 @ a42 ) | ( ~( hskp21 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause48])).
% 37.25/5.86 thf(zip_derived_cl47, plain, (( (c2_1 @ a42) | ~ (hskp21))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_86])).
% 37.25/5.86 thf('119', plain, (( (c2_1 @ a42)) | ~ ( (hskp21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl47])).
% 37.25/5.86 thf('120', plain, (( (c3_1 @ a42)) | ~ ( (hskp21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl48])).
% 37.25/5.86 thf('121', plain, (~ ( (c1_1 @ a42)) | ~ ( (hskp21))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl78])).
% 37.25/5.86 thf('122', plain,
% 37.25/5.86 (( (hskp4)) |
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0)) |
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl135])).
% 37.25/5.86 thf(clause31, conjecture, (~( ( hskp4 ) | ( hskp8 ) | ( hskp17 ) ))).
% 37.25/5.86 thf(zf_stmt_87, negated_conjecture, (( hskp4 ) | ( hskp8 ) | ( hskp17 )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause31])).
% 37.25/5.86 thf(zip_derived_cl30, plain, (( (hskp4) | (hskp8) | (hskp17))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_87])).
% 37.25/5.86 thf('123', plain, (( (hskp4)) | ( (hskp8)) | ( (hskp17))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl30])).
% 37.25/5.86 thf(zip_derived_cl402, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl120])).
% 37.25/5.86 thf(clause103, conjecture, (~( ( ~( hskp8 ) ) | ( ~( c1_1 @ a15 ) ) ))).
% 37.25/5.86 thf(zf_stmt_88, negated_conjecture, (( ~( hskp8 ) ) | ( ~( c1_1 @ a15 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause103])).
% 37.25/5.86 thf(zip_derived_cl102, plain, ((~ (hskp8) | ~ (c1_1 @ a15))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_88])).
% 37.25/5.86 thf(zip_derived_cl361, plain, ((~ (c1_1 @ a15)) <= (~ ( (c1_1 @ a15)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 37.25/5.86 thf(zip_derived_cl1020, plain,
% 37.25/5.86 (((~ (c0_1 @ a15) | (c2_1 @ a15)))
% 37.25/5.86 <= (~ ( (c1_1 @ a15)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl361])).
% 37.25/5.86 thf('124', plain,
% 37.25/5.86 (( (c1_1 @ a15)) | ( (c2_1 @ a15)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1020])).
% 37.25/5.86 thf(clause29, conjecture, (~( ( hskp21 ) | ( hskp17 ) | ( hskp25 ) ))).
% 37.25/5.86 thf(zf_stmt_89, negated_conjecture, (( hskp21 ) | ( hskp17 ) | ( hskp25 )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause29])).
% 37.25/5.86 thf(zip_derived_cl28, plain, (( (hskp21) | (hskp17) | (hskp25))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_89])).
% 37.25/5.86 thf('125', plain, (( (hskp21)) | ( (hskp25)) | ( (hskp17))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl28])).
% 37.25/5.86 thf('126', plain,
% 37.25/5.86 (~ ( (c0_1 @ a42)) | ~ ( (c3_1 @ a42)) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c2_1 @ a42))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl614])).
% 37.25/5.86 thf(zip_derived_cl450, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl132])).
% 37.25/5.86 thf(clause76, conjecture, (~( ( ~( hskp23 ) ) | ( ~( c1_1 @ a53 ) ) ))).
% 37.25/5.86 thf(zf_stmt_90, negated_conjecture, (( ~( hskp23 ) ) | ( ~( c1_1 @ a53 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause76])).
% 37.25/5.86 thf(zip_derived_cl75, plain, ((~ (hskp23) | ~ (c1_1 @ a53))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_90])).
% 37.25/5.86 thf(zip_derived_cl307, plain, ((~ (c1_1 @ a53)) <= (~ ( (c1_1 @ a53)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl75])).
% 37.25/5.86 thf(zip_derived_cl1430, plain,
% 37.25/5.86 ((( (c0_1 @ a53) | (c2_1 @ a53)))
% 37.25/5.86 <= (~ ( (c1_1 @ a53)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl307])).
% 37.25/5.86 thf('127', plain,
% 37.25/5.86 (( (c2_1 @ a53)) | ( (c1_1 @ a53)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ( (c0_1 @ a53))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1430])).
% 37.25/5.86 thf('128', plain, (( (c3_1 @ a53)) | ~ ( (hskp23))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 37.25/5.86 thf('129', plain, (~ ( (hskp23)) | ~ ( (c0_1 @ a53))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl74])).
% 37.25/5.86 thf('130', plain, (~ ( (hskp23)) | ~ ( (c1_1 @ a53))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl75])).
% 37.25/5.86 thf(zip_derived_cl426, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 37.25/5.86 thf(zip_derived_cl247, plain, (( (c3_1 @ a53)) <= (( (c3_1 @ a53)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 37.25/5.86 thf(zip_derived_cl771, plain,
% 37.25/5.86 ((( (c0_1 @ a53) | ~ (c2_1 @ a53)))
% 37.25/5.86 <= (( (c3_1 @ a53)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl247])).
% 37.25/5.86 thf('131', plain,
% 37.25/5.86 (( (c0_1 @ a53)) | ~ ( (c2_1 @ a53)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a53))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl771])).
% 37.25/5.86 thf(clause60, conjecture, (~( ( c0_1 @ a18 ) | ( ~( hskp10 ) ) ))).
% 37.25/5.86 thf(zf_stmt_91, negated_conjecture, (( c0_1 @ a18 ) | ( ~( hskp10 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause60])).
% 37.25/5.86 thf(zip_derived_cl59, plain, (( (c0_1 @ a18) | ~ (hskp10))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_91])).
% 37.25/5.86 thf('132', plain, (( (c0_1 @ a18)) | ~ ( (hskp10))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl59])).
% 37.25/5.86 thf('133', plain, (( (c2_1 @ a18)) | ~ ( (hskp10))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl60])).
% 37.25/5.86 thf('134', plain, (~ ( (c3_1 @ a18)) | ~ ( (hskp10))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl99])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl391, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.86 thf(zip_derived_cl758, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 (~ (c0_1 @ X0) | ~ (c2_1 @ X0) | (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl391])).
% 37.25/5.86 thf(zip_derived_cl761, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl758])).
% 37.25/5.86 thf(zip_derived_cl355, plain, ((~ (c3_1 @ a18)) <= (~ ( (c3_1 @ a18)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl99])).
% 37.25/5.86 thf(zip_derived_cl2729, plain,
% 37.25/5.86 (((~ (c0_1 @ a18) | ~ (c2_1 @ a18)))
% 37.25/5.86 <= (~ ( (c3_1 @ a18)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl761, zip_derived_cl355])).
% 37.25/5.86 thf('135', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a18)) | ( (c3_1 @ a18)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a18))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl2729])).
% 37.25/5.86 thf(zip_derived_cl1127, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1103])).
% 37.25/5.86 thf(zip_derived_cl233, plain, (( (c3_1 @ a10)) <= (( (c3_1 @ a10)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 37.25/5.86 thf(zip_derived_cl1956, plain,
% 37.25/5.86 (((~ (c2_1 @ a10) | ~ (c0_1 @ a10)))
% 37.25/5.86 <= (( (c3_1 @ a10)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1127, zip_derived_cl233])).
% 37.25/5.86 thf('136', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a10)) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c3_1 @ a10)) | ~ ( (c0_1 @ a10))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1956])).
% 37.25/5.86 thf('137', plain,
% 37.25/5.86 (( (hskp27)) |
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0)) | ( (hskp26))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.86 thf(zip_derived_cl761, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl758])).
% 37.25/5.86 thf(clause89, conjecture, (~( ( ~( hskp15 ) ) | ( ~( c3_1 @ a25 ) ) ))).
% 37.25/5.86 thf(zf_stmt_92, negated_conjecture, (( ~( hskp15 ) ) | ( ~( c3_1 @ a25 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause89])).
% 37.25/5.86 thf(zip_derived_cl88, plain, ((~ (hskp15) | ~ (c3_1 @ a25))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_92])).
% 37.25/5.86 thf(zip_derived_cl333, plain, ((~ (c3_1 @ a25)) <= (~ ( (c3_1 @ a25)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl88])).
% 37.25/5.86 thf(zip_derived_cl2726, plain,
% 37.25/5.86 (((~ (c0_1 @ a25) | ~ (c2_1 @ a25)))
% 37.25/5.86 <= (~ ( (c3_1 @ a25)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl761, zip_derived_cl333])).
% 37.25/5.86 thf('138', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a25)) | ( (c3_1 @ a25)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a25))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl2726])).
% 37.25/5.86 thf(clause56, conjecture, (~( ( c0_1 @ a25 ) | ( ~( hskp15 ) ) ))).
% 37.25/5.86 thf(zf_stmt_93, negated_conjecture, (( c0_1 @ a25 ) | ( ~( hskp15 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause56])).
% 37.25/5.86 thf(zip_derived_cl55, plain, (( (c0_1 @ a25) | ~ (hskp15))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_93])).
% 37.25/5.86 thf('139', plain, (( (c0_1 @ a25)) | ~ ( (hskp15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl55])).
% 37.25/5.86 thf('140', plain, (~ ( (c3_1 @ a25)) | ~ ( (hskp15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl88])).
% 37.25/5.86 thf(zip_derived_cl453, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl133])).
% 37.25/5.86 thf(zip_derived_cl361, plain, ((~ (c1_1 @ a15)) <= (~ ( (c1_1 @ a15)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 37.25/5.86 thf(zip_derived_cl1114, plain,
% 37.25/5.86 (((~ (c3_1 @ a15) | ~ (c2_1 @ a15)))
% 37.25/5.86 <= (~ ( (c1_1 @ a15)) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl453, zip_derived_cl361])).
% 37.25/5.86 thf(zip_derived_cl1823, plain, ((~ (c3_1 @ a15)) <= (~ ( (c3_1 @ a15)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1114])).
% 37.25/5.86 thf(zip_derived_cl410, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.86 thf(zip_derived_cl1826, plain,
% 37.25/5.86 ((( (c2_1 @ a15) | ~ (c0_1 @ a15)))
% 37.25/5.86 <= (~ ( (c3_1 @ a15)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1823, zip_derived_cl410])).
% 37.25/5.86 thf('141', plain,
% 37.25/5.86 (( (c3_1 @ a15)) | ( (c2_1 @ a15)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1826])).
% 37.25/5.86 thf('142', plain, (~ ( (c1_1 @ a15)) | ~ ( (hskp8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 37.25/5.86 thf(clause140, conjecture,
% 37.25/5.86 (~( ( hskp15 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 37.25/5.86 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 37.25/5.86 ( ~( c0_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_94, negated_conjecture,
% 37.25/5.86 (( hskp15 ) | ( c2_1 @ V ) | ( c1_1 @ V ) | ( c2_1 @ U ) |
% 37.25/5.86 ( ~( c3_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c3_1 @ U ) ) |
% 37.25/5.86 ( ~( c0_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause140])).
% 37.25/5.86 thf(zip_derived_cl139, plain,
% 37.25/5.86 (![X0 : $i, X1 : $i]:
% 37.25/5.86 ( (hskp15)
% 37.25/5.86 | (c2_1 @ X0)
% 37.25/5.86 | (c1_1 @ X0)
% 37.25/5.86 | (c2_1 @ X1)
% 37.25/5.86 | ~ (c3_1 @ X0)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c3_1 @ X1)
% 37.25/5.86 | ~ (c0_1 @ X1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_94])).
% 37.25/5.86 thf(zip_derived_cl478, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl139])).
% 37.25/5.86 thf(zip_derived_cl361, plain, ((~ (c1_1 @ a15)) <= (~ ( (c1_1 @ a15)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 37.25/5.86 thf(zip_derived_cl1542, plain,
% 37.25/5.86 ((( (c2_1 @ a15) | ~ (c3_1 @ a15)))
% 37.25/5.86 <= (~ ( (c1_1 @ a15)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl478, zip_derived_cl361])).
% 37.25/5.86 thf('143', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a15)) | ( (c2_1 @ a15)) | ( (c1_1 @ a15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1542])).
% 37.25/5.86 thf(clause20, conjecture, (~( ( ndr1_0 ) | ( ~( hskp8 ) ) ))).
% 37.25/5.86 thf(zf_stmt_95, negated_conjecture, (( ndr1_0 ) | ( ~( hskp8 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause20])).
% 37.25/5.86 thf(zip_derived_cl19, plain, (( (ndr1_0) | ~ (hskp8))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_95])).
% 37.25/5.86 thf('144', plain, (( (ndr1_0)) | ~ ( (hskp8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl19])).
% 37.25/5.86 thf('145', plain,
% 37.25/5.86 (( (hskp15)) |
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl139])).
% 37.25/5.86 thf('146', plain, (( (c0_1 @ a15)) | ~ ( (hskp8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl62])).
% 37.25/5.86 thf('147', plain, (~ ( (c2_1 @ a15)) | ~ ( (hskp8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl103])).
% 37.25/5.86 thf(zip_derived_cl391, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.86 thf(zip_derived_cl361, plain, ((~ (c1_1 @ a15)) <= (~ ( (c1_1 @ a15)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl102])).
% 37.25/5.86 thf(zip_derived_cl753, plain,
% 37.25/5.86 (((~ (c2_1 @ a15) | (c3_1 @ a15)))
% 37.25/5.86 <= (~ ( (c1_1 @ a15)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl361])).
% 37.25/5.86 thf(zip_derived_cl2522, plain, (( (c3_1 @ a15)) <= (( (c3_1 @ a15)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl753])).
% 37.25/5.86 thf(zip_derived_cl430, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.86 thf(zip_derived_cl2525, plain,
% 37.25/5.86 ((( (c2_1 @ a15) | ~ (c0_1 @ a15)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 ( (c3_1 @ a15)))),
% 37.25/5.86 inference('s_sup-', [status(thm)],
% 37.25/5.86 [zip_derived_cl2522, zip_derived_cl430])).
% 37.25/5.86 thf('148', plain,
% 37.25/5.86 (~ ( (c3_1 @ a15)) | ( (c2_1 @ a15)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a15))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl2525])).
% 37.25/5.86 thf(clause122, conjecture,
% 37.25/5.86 (~( ( hskp26 ) | ( hskp6 ) | ( c3_1 @ U ) | ( c1_1 @ U ) |
% 37.25/5.86 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_96, negated_conjecture,
% 37.25/5.86 (( hskp26 ) | ( hskp6 ) | ( c3_1 @ U ) | ( c1_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.86 ( ~( c2_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause122])).
% 37.25/5.86 thf(zip_derived_cl121, plain,
% 37.25/5.86 (![X0 : $i]:
% 37.25/5.86 ( (hskp26)
% 37.25/5.86 | (hskp6)
% 37.25/5.86 | (c3_1 @ X0)
% 37.25/5.86 | (c1_1 @ X0)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c2_1 @ X0))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_96])).
% 37.25/5.86 thf('149', plain,
% 37.25/5.86 (( (hskp6)) |
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ( (hskp26)) | ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl121])).
% 37.25/5.86 thf(clause126, conjecture,
% 37.25/5.86 (~( ( hskp9 ) | ( hskp8 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.86 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_97, negated_conjecture,
% 37.25/5.86 (( hskp9 ) | ( hskp8 ) | ( c0_1 @ U ) | ( ~( ndr1_0 ) ) |
% 37.25/5.86 ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause126])).
% 37.25/5.86 thf(zip_derived_cl125, plain,
% 37.25/5.86 (![X0 : $i]:
% 37.25/5.86 ( (hskp9)
% 37.25/5.86 | (hskp8)
% 37.25/5.86 | (c0_1 @ X0)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c2_1 @ X0)
% 37.25/5.86 | ~ (c1_1 @ X0))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_97])).
% 37.25/5.86 thf('150', plain,
% 37.25/5.86 (( (hskp8)) |
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ( (hskp9)) | ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl125])).
% 37.25/5.86 thf(zip_derived_cl410, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.86 thf(zip_derived_cl333, plain, ((~ (c3_1 @ a25)) <= (~ ( (c3_1 @ a25)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl88])).
% 37.25/5.86 thf(zip_derived_cl1186, plain,
% 37.25/5.86 (((~ (c0_1 @ a25) | (c2_1 @ a25)))
% 37.25/5.86 <= (~ ( (c3_1 @ a25)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl333])).
% 37.25/5.86 thf('151', plain,
% 37.25/5.86 (( (c2_1 @ a25)) | ( (c3_1 @ a25)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a25))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1186])).
% 37.25/5.86 thf(zip_derived_cl410, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.86 thf(zip_derived_cl359, plain, ((~ (c3_1 @ a16)) <= (~ ( (c3_1 @ a16)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl101])).
% 37.25/5.86 thf(zip_derived_cl1189, plain,
% 37.25/5.86 (((~ (c0_1 @ a16) | (c2_1 @ a16)))
% 37.25/5.86 <= (~ ( (c3_1 @ a16)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl359])).
% 37.25/5.86 thf('152', plain,
% 37.25/5.86 (( (c2_1 @ a16)) | ( (c3_1 @ a16)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a16))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1189])).
% 37.25/5.86 thf('153', plain, (( (c0_1 @ a16)) | ~ ( (hskp9))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl61])).
% 37.25/5.86 thf(clause101, conjecture, (~( ( ~( hskp9 ) ) | ( ~( c2_1 @ a16 ) ) ))).
% 37.25/5.86 thf(zf_stmt_98, negated_conjecture, (( ~( hskp9 ) ) | ( ~( c2_1 @ a16 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause101])).
% 37.25/5.86 thf(zip_derived_cl100, plain, ((~ (hskp9) | ~ (c2_1 @ a16))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_98])).
% 37.25/5.86 thf('154', plain, (~ ( (c2_1 @ a16)) | ~ ( (hskp9))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl100])).
% 37.25/5.86 thf('155', plain, (~ ( (c3_1 @ a16)) | ~ ( (hskp9))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl101])).
% 37.25/5.86 thf(clause64, conjecture, (~( ( c0_1 @ a14 ) | ( ~( hskp7 ) ) ))).
% 37.25/5.86 thf(zf_stmt_99, negated_conjecture, (( c0_1 @ a14 ) | ( ~( hskp7 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause64])).
% 37.25/5.86 thf(zip_derived_cl63, plain, (( (c0_1 @ a14) | ~ (hskp7))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_99])).
% 37.25/5.86 thf('156', plain, (( (c0_1 @ a14)) | ~ ( (hskp7))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl63])).
% 37.25/5.86 thf('157', plain, (( (c3_1 @ a14)) | ~ ( (hskp7))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl64])).
% 37.25/5.86 thf(clause105, conjecture, (~( ( ~( hskp7 ) ) | ( ~( c2_1 @ a14 ) ) ))).
% 37.25/5.86 thf(zf_stmt_100, negated_conjecture, (( ~( hskp7 ) ) | ( ~( c2_1 @ a14 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause105])).
% 37.25/5.86 thf(zip_derived_cl104, plain, ((~ (hskp7) | ~ (c2_1 @ a14))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_100])).
% 37.25/5.86 thf('158', plain, (~ ( (c2_1 @ a14)) | ~ ( (hskp7))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl104])).
% 37.25/5.86 thf('159', plain,
% 37.25/5.86 (( (hskp13)) |
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0)) |
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl138])).
% 37.25/5.86 thf(clause32, conjecture, (~( ( hskp13 ) | ( hskp9 ) | ( hskp7 ) ))).
% 37.25/5.86 thf(zf_stmt_101, negated_conjecture, (( hskp13 ) | ( hskp9 ) | ( hskp7 )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause32])).
% 37.25/5.86 thf(zip_derived_cl31, plain, (( (hskp13) | (hskp9) | (hskp7))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_101])).
% 37.25/5.86 thf('160', plain, (( (hskp13)) | ( (hskp9)) | ( (hskp7))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl31])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl402, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl120])).
% 37.25/5.86 thf(zip_derived_cl1025, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 ( (c2_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl402])).
% 37.25/5.86 thf(zip_derived_cl1031, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1025])).
% 37.25/5.86 thf(zip_derived_cl285, plain, (( (c3_1 @ a14)) <= (( (c3_1 @ a14)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl64])).
% 37.25/5.86 thf(zip_derived_cl3426, plain,
% 37.25/5.86 ((( (c2_1 @ a14) | ~ (c0_1 @ a14)))
% 37.25/5.86 <= (( (c3_1 @ a14)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1031, zip_derived_cl285])).
% 37.25/5.86 thf('161', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a14)) | ( (c2_1 @ a14)) | ~ ( (c3_1 @ a14))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl3426])).
% 37.25/5.86 thf(zip_derived_cl473, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl138])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl1145, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl442])).
% 37.25/5.86 thf(zip_derived_cl1163, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1145])).
% 37.25/5.86 thf(zip_derived_cl233, plain, (( (c3_1 @ a10)) <= (( (c3_1 @ a10)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 37.25/5.86 thf(zip_derived_cl2028, plain,
% 37.25/5.86 (((~ (c0_1 @ a10) | ~ (c2_1 @ a10)))
% 37.25/5.86 <= (( (c3_1 @ a10)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1163, zip_derived_cl233])).
% 37.25/5.86 thf('162', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c2_1 @ a10)) | ~ ( (c3_1 @ a10)) | ~ ( (c0_1 @ a10))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl2028])).
% 37.25/5.86 thf(zip_derived_cl497, plain,
% 37.25/5.86 ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl144])).
% 37.25/5.86 thf(zip_derived_cl265, plain, (( (c1_1 @ a30)) <= (( (c1_1 @ a30)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.86 thf(zip_derived_cl484, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.86 thf(zip_derived_cl643, plain,
% 37.25/5.86 (((~ (c2_1 @ a30) | ~ (c3_1 @ a30)))
% 37.25/5.86 <= (( (c1_1 @ a30)) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl484])).
% 37.25/5.86 thf(zip_derived_cl674, plain, ((~ (c3_1 @ a30)) <= (~ ( (c3_1 @ a30)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl643])).
% 37.25/5.86 thf(zip_derived_cl1605, plain,
% 37.25/5.86 ((( (c2_1 @ a30) | (c0_1 @ a30)))
% 37.25/5.86 <= (~ ( (c3_1 @ a30)) &
% 37.25/5.86 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl674])).
% 37.25/5.86 thf('163', plain,
% 37.25/5.86 (( (c3_1 @ a30)) |
% 37.25/5.86 ~ (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.86 ( (c0_1 @ a30)) | ( (c2_1 @ a30))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1605])).
% 37.25/5.86 thf(zip_derived_cl402, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl120])).
% 37.25/5.86 thf(zip_derived_cl508, plain,
% 37.25/5.86 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2)))
% 37.25/5.86 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 37.25/5.86 thf(zip_derived_cl1297, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 (~ (c0_1 @ X0) | (c2_1 @ X0) | (c2_1 @ X0) | (c3_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl508])).
% 37.25/5.86 thf(zip_derived_cl1312, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1297])).
% 37.25/5.86 thf(zip_derived_cl359, plain, ((~ (c3_1 @ a16)) <= (~ ( (c3_1 @ a16)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl101])).
% 37.25/5.86 thf(zip_derived_cl5718, plain,
% 37.25/5.86 (((~ (c0_1 @ a16) | (c2_1 @ a16)))
% 37.25/5.86 <= (~ ( (c3_1 @ a16)) &
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('s_sup-', [status(thm)],
% 37.25/5.86 [zip_derived_cl1312, zip_derived_cl359])).
% 37.25/5.86 thf('164', plain,
% 37.25/5.86 (~ ( (c0_1 @ a16)) | ( (c2_1 @ a16)) |
% 37.25/5.86 ~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c1_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ( (c3_1 @ a16))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl5718])).
% 37.25/5.86 thf(zip_derived_cl473, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl138])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl1144, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 (~ (c3_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl434])).
% 37.25/5.86 thf(zip_derived_cl1162, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0) | ~ (c3_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1144])).
% 37.25/5.86 thf(zip_derived_cl285, plain, (( (c3_1 @ a14)) <= (( (c3_1 @ a14)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl64])).
% 37.25/5.86 thf(zip_derived_cl3590, plain,
% 37.25/5.86 (((~ (c0_1 @ a14) | (c2_1 @ a14)))
% 37.25/5.86 <= (( (c3_1 @ a14)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1162, zip_derived_cl285])).
% 37.25/5.86 thf('165', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c0_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c0_1 @ a14)) | ~ ( (c3_1 @ a14)) | ( (c2_1 @ a14))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl3590])).
% 37.25/5.86 thf(clause44, conjecture, (~( ( c2_1 @ a3 ) | ( ~( hskp24 ) ) ))).
% 37.25/5.86 thf(zf_stmt_102, negated_conjecture, (( c2_1 @ a3 ) | ( ~( hskp24 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause44])).
% 37.25/5.86 thf(zip_derived_cl43, plain, (( (c2_1 @ a3) | ~ (hskp24))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_102])).
% 37.25/5.86 thf('166', plain, (( (c2_1 @ a3)) | ~ ( (hskp24))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl43])).
% 37.25/5.86 thf(zip_derived_cl241, plain, (( (c1_1 @ a3)) <= (( (c1_1 @ a3)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl42])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl594, plain,
% 37.25/5.86 (((~ (c2_1 @ a3) | ~ (c0_1 @ a3)))
% 37.25/5.86 <= (( (c1_1 @ a3)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl241, zip_derived_cl442])).
% 37.25/5.86 thf('167', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a3)) | ~ ( (c1_1 @ a3)) | ~ ( (c2_1 @ a3))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl594])).
% 37.25/5.86 thf('168', plain, (( (c1_1 @ a3)) | ~ ( (hskp24))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl42])).
% 37.25/5.86 thf('169', plain, (( (c3_1 @ a3)) | ~ ( (hskp24))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl44])).
% 37.25/5.86 thf(zip_derived_cl470, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl137])).
% 37.25/5.86 thf(zip_derived_cl241, plain, (( (c1_1 @ a3)) <= (( (c1_1 @ a3)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl42])).
% 37.25/5.86 thf(zip_derived_cl926, plain,
% 37.25/5.86 ((( (c0_1 @ a3) | ~ (c3_1 @ a3)))
% 37.25/5.86 <= (( (c1_1 @ a3)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl241])).
% 37.25/5.86 thf('170', plain,
% 37.25/5.86 (( (c0_1 @ a3)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a3)) | ~ ( (c1_1 @ a3))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl926])).
% 37.25/5.86 thf(clause40, conjecture, (~( ( c0_1 @ a9 ) | ( ~( hskp25 ) ) ))).
% 37.25/5.86 thf(zf_stmt_103, negated_conjecture, (( c0_1 @ a9 ) | ( ~( hskp25 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause40])).
% 37.25/5.86 thf(zip_derived_cl39, plain, (( (c0_1 @ a9) | ~ (hskp25))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_103])).
% 37.25/5.86 thf('171', plain, (( (c0_1 @ a9)) | ~ ( (hskp25))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 37.25/5.86 thf(clause41, conjecture, (~( ( c1_1 @ a9 ) | ( ~( hskp25 ) ) ))).
% 37.25/5.86 thf(zf_stmt_104, negated_conjecture, (( c1_1 @ a9 ) | ( ~( hskp25 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause41])).
% 37.25/5.86 thf(zip_derived_cl40, plain, (( (c1_1 @ a9) | ~ (hskp25))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_104])).
% 37.25/5.86 thf('172', plain, (( (c1_1 @ a9)) | ~ ( (hskp25))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl40])).
% 37.25/5.86 thf(clause42, conjecture, (~( ( c2_1 @ a9 ) | ( ~( hskp25 ) ) ))).
% 37.25/5.86 thf(zf_stmt_105, negated_conjecture, (( c2_1 @ a9 ) | ( ~( hskp25 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause42])).
% 37.25/5.86 thf(zip_derived_cl41, plain, (( (c2_1 @ a9) | ~ (hskp25))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_105])).
% 37.25/5.86 thf('173', plain, (( (c2_1 @ a9)) | ~ ( (hskp25))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 37.25/5.86 thf(zip_derived_cl237, plain, (( (c1_1 @ a9)) <= (( (c1_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl40])).
% 37.25/5.86 thf(zip_derived_cl442, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl130])).
% 37.25/5.86 thf(zip_derived_cl590, plain,
% 37.25/5.86 (((~ (c2_1 @ a9) | ~ (c0_1 @ a9)))
% 37.25/5.86 <= (( (c1_1 @ a9)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl442])).
% 37.25/5.86 thf('174', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c1_1 @ a9)) | ~ ( (c2_1 @ a9)) | ~ ( (c0_1 @ a9))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl590])).
% 37.25/5.86 thf(clause92, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c0_1 @ a22 ) ) ))).
% 37.25/5.86 thf(zf_stmt_106, negated_conjecture, (( ~( hskp13 ) ) | ( ~( c0_1 @ a22 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause92])).
% 37.25/5.86 thf(zip_derived_cl91, plain, ((~ (hskp13) | ~ (c0_1 @ a22))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_106])).
% 37.25/5.86 thf('175', plain, (~ ( (c0_1 @ a22)) | ~ ( (hskp13))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl91])).
% 37.25/5.86 thf(clause93, conjecture, (~( ( ~( hskp13 ) ) | ( ~( c2_1 @ a22 ) ) ))).
% 37.25/5.86 thf(zf_stmt_107, negated_conjecture, (( ~( hskp13 ) ) | ( ~( c2_1 @ a22 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause93])).
% 37.25/5.86 thf(zip_derived_cl92, plain, ((~ (hskp13) | ~ (c2_1 @ a22))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_107])).
% 37.25/5.86 thf('176', plain, (~ ( (c2_1 @ a22)) | ~ ( (hskp13))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl92])).
% 37.25/5.86 thf('177', plain, (~ ( (c3_1 @ a22)) | ~ ( (hskp13))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl93])).
% 37.25/5.86 thf(zip_derived_cl497, plain,
% 37.25/5.86 ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl144])).
% 37.25/5.86 thf(zip_derived_cl343, plain, ((~ (c3_1 @ a22)) <= (~ ( (c3_1 @ a22)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl93])).
% 37.25/5.86 thf(zip_derived_cl1616, plain,
% 37.25/5.86 ((( (c2_1 @ a22) | (c0_1 @ a22)))
% 37.25/5.86 <= (~ ( (c3_1 @ a22)) &
% 37.25/5.86 (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl343])).
% 37.25/5.86 thf('178', plain,
% 37.25/5.86 (( (c0_1 @ a22)) | ( (c2_1 @ a22)) |
% 37.25/5.86 ~ (![X1 : $i]: ( (c0_1 @ X1) | (c2_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.86 ( (c3_1 @ a22))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1616])).
% 37.25/5.86 thf(zip_derived_cl466, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl136])).
% 37.25/5.86 thf(zip_derived_cl265, plain, (( (c1_1 @ a30)) <= (( (c1_1 @ a30)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.86 thf(zip_derived_cl1223, plain,
% 37.25/5.86 ((( (c0_1 @ a30) | (c2_1 @ a30)))
% 37.25/5.86 <= (( (c1_1 @ a30)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl265])).
% 37.25/5.86 thf('179', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c1_1 @ X0) | (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ( (c0_1 @ a30)) | ( (c2_1 @ a30)) | ~ ( (c1_1 @ a30))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1223])).
% 37.25/5.86 thf(zip_derived_cl508, plain,
% 37.25/5.86 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2)))
% 37.25/5.86 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 37.25/5.86 thf(zip_derived_cl265, plain, (( (c1_1 @ a30)) <= (( (c1_1 @ a30)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.86 thf(zip_derived_cl1289, plain,
% 37.25/5.86 ((( (c3_1 @ a30) | (c2_1 @ a30)))
% 37.25/5.86 <= (( (c1_1 @ a30)) &
% 37.25/5.86 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl265])).
% 37.25/5.86 thf('180', plain,
% 37.25/5.86 (( (c3_1 @ a30)) | ( (c2_1 @ a30)) |
% 37.25/5.86 ~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.86 ~ ( (c1_1 @ a30))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1289])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl265, plain, (( (c1_1 @ a30)) <= (( (c1_1 @ a30)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.86 thf(zip_derived_cl813, plain,
% 37.25/5.86 ((( (c2_1 @ a30) | ~ (c3_1 @ a30)))
% 37.25/5.86 <= (( (c1_1 @ a30)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl265])).
% 37.25/5.86 thf('181', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a30)) | ( (c2_1 @ a30)) | ~ ( (c1_1 @ a30))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl813])).
% 37.25/5.86 thf('182', plain, (( (c1_1 @ a30)) | ~ ( (hskp16))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl54])).
% 37.25/5.86 thf(clause87, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c0_1 @ a30 ) ) ))).
% 37.25/5.86 thf(zf_stmt_108, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c0_1 @ a30 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause87])).
% 37.25/5.86 thf(zip_derived_cl86, plain, ((~ (hskp16) | ~ (c0_1 @ a30))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_108])).
% 37.25/5.86 thf('183', plain, (~ ( (c0_1 @ a30)) | ~ ( (hskp16))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl86])).
% 37.25/5.86 thf(clause88, conjecture, (~( ( ~( hskp16 ) ) | ( ~( c2_1 @ a30 ) ) ))).
% 37.25/5.86 thf(zf_stmt_109, negated_conjecture, (( ~( hskp16 ) ) | ( ~( c2_1 @ a30 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause88])).
% 37.25/5.86 thf(zip_derived_cl87, plain, ((~ (hskp16) | ~ (c2_1 @ a30))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_109])).
% 37.25/5.86 thf('184', plain, (~ ( (c2_1 @ a30)) | ~ ( (hskp16))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl87])).
% 37.25/5.86 thf('185', plain,
% 37.25/5.86 (( (hskp16)) | ( (hskp26)) | ~ ( (ndr1_0)) |
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.86 thf(zip_derived_cl410, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.86 thf(clause78, conjecture, (~( ( ~( hskp22 ) ) | ( ~( c3_1 @ a45 ) ) ))).
% 37.25/5.86 thf(zf_stmt_110, negated_conjecture, (( ~( hskp22 ) ) | ( ~( c3_1 @ a45 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause78])).
% 37.25/5.86 thf(zip_derived_cl77, plain, ((~ (hskp22) | ~ (c3_1 @ a45))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_110])).
% 37.25/5.86 thf(zip_derived_cl311, plain, ((~ (c3_1 @ a45)) <= (~ ( (c3_1 @ a45)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl77])).
% 37.25/5.86 thf(zip_derived_cl1183, plain,
% 37.25/5.86 (((~ (c0_1 @ a45) | (c2_1 @ a45)))
% 37.25/5.86 <= (~ ( (c3_1 @ a45)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl311])).
% 37.25/5.86 thf('186', plain,
% 37.25/5.86 (( (c2_1 @ a45)) | ( (c3_1 @ a45)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c0_1 @ a45))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1183])).
% 37.25/5.86 thf(clause47, conjecture, (~( ( c0_1 @ a45 ) | ( ~( hskp22 ) ) ))).
% 37.25/5.86 thf(zf_stmt_111, negated_conjecture, (( c0_1 @ a45 ) | ( ~( hskp22 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause47])).
% 37.25/5.86 thf(zip_derived_cl46, plain, (( (c0_1 @ a45) | ~ (hskp22))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_111])).
% 37.25/5.86 thf('187', plain, (( (c0_1 @ a45)) | ~ ( (hskp22))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl46])).
% 37.25/5.86 thf(clause77, conjecture, (~( ( ~( hskp22 ) ) | ( ~( c1_1 @ a45 ) ) ))).
% 37.25/5.86 thf(zf_stmt_112, negated_conjecture, (( ~( hskp22 ) ) | ( ~( c1_1 @ a45 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause77])).
% 37.25/5.86 thf(zip_derived_cl76, plain, ((~ (hskp22) | ~ (c1_1 @ a45))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_112])).
% 37.25/5.86 thf('188', plain, (~ ( (c1_1 @ a45)) | ~ ( (hskp22))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl76])).
% 37.25/5.86 thf('189', plain, (~ ( (c3_1 @ a45)) | ~ ( (hskp22))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl77])).
% 37.25/5.86 thf(clause30, conjecture, (~( ( hskp22 ) | ( hskp26 ) | ( hskp6 ) ))).
% 37.25/5.86 thf(zf_stmt_113, negated_conjecture, (( hskp22 ) | ( hskp26 ) | ( hskp6 )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause30])).
% 37.25/5.86 thf(zip_derived_cl29, plain, (( (hskp22) | (hskp26) | (hskp6))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_113])).
% 37.25/5.86 thf('190', plain, (( (hskp6)) | ( (hskp22)) | ( (hskp26))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl29])).
% 37.25/5.86 thf(zip_derived_cl410, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl122])).
% 37.25/5.86 thf(zip_derived_cl289, plain, (( (c1_1 @ a8)) <= (( (c1_1 @ a8)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl66])).
% 37.25/5.86 thf(zip_derived_cl484, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.86 thf(zip_derived_cl679, plain,
% 37.25/5.86 (((~ (c2_1 @ a8) | ~ (c3_1 @ a8)))
% 37.25/5.86 <= (( (c1_1 @ a8)) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl289, zip_derived_cl484])).
% 37.25/5.86 thf(zip_derived_cl742, plain, ((~ (c3_1 @ a8)) <= (~ ( (c3_1 @ a8)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl679])).
% 37.25/5.86 thf(zip_derived_cl1190, plain,
% 37.25/5.86 (((~ (c0_1 @ a8) | (c2_1 @ a8)))
% 37.25/5.86 <= (~ ( (c3_1 @ a8)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl742])).
% 37.25/5.86 thf('191', plain,
% 37.25/5.86 (( (c3_1 @ a8)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ( (c2_1 @ a8)) | ~ ( (c0_1 @ a8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1190])).
% 37.25/5.86 thf(clause66, conjecture, (~( ( c0_1 @ a8 ) | ( ~( hskp6 ) ) ))).
% 37.25/5.86 thf(zf_stmt_114, negated_conjecture, (( c0_1 @ a8 ) | ( ~( hskp6 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause66])).
% 37.25/5.86 thf(zip_derived_cl65, plain, (( (c0_1 @ a8) | ~ (hskp6))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_114])).
% 37.25/5.86 thf('192', plain, (( (c0_1 @ a8)) | ~ ( (hskp6))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl65])).
% 37.25/5.86 thf('193', plain, (( (c1_1 @ a8)) | ~ ( (hskp6))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl66])).
% 37.25/5.86 thf(clause106, conjecture, (~( ( ~( hskp6 ) ) | ( ~( c2_1 @ a8 ) ) ))).
% 37.25/5.86 thf(zf_stmt_115, negated_conjecture, (( ~( hskp6 ) ) | ( ~( c2_1 @ a8 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause106])).
% 37.25/5.86 thf(zip_derived_cl105, plain, ((~ (hskp6) | ~ (c2_1 @ a8))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_115])).
% 37.25/5.86 thf('194', plain, (~ ( (c2_1 @ a8)) | ~ ( (hskp6))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl105])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl289, plain, (( (c1_1 @ a8)) <= (( (c1_1 @ a8)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl66])).
% 37.25/5.86 thf(zip_derived_cl815, plain,
% 37.25/5.86 ((( (c2_1 @ a8) | ~ (c3_1 @ a8)))
% 37.25/5.86 <= (( (c1_1 @ a8)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl289])).
% 37.25/5.86 thf('195', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a8)) | ( (c2_1 @ a8)) | ~ ( (c1_1 @ a8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl815])).
% 37.25/5.86 thf(zip_derived_cl391, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.86 thf(zip_derived_cl309, plain, ((~ (c1_1 @ a45)) <= (~ ( (c1_1 @ a45)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl76])).
% 37.25/5.86 thf(zip_derived_cl748, plain,
% 37.25/5.86 (((~ (c2_1 @ a45) | (c3_1 @ a45)))
% 37.25/5.86 <= (~ ( (c1_1 @ a45)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl309])).
% 37.25/5.86 thf('196', plain,
% 37.25/5.86 (( (c1_1 @ a45)) | ( (c3_1 @ a45)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a45))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl748])).
% 37.25/5.86 thf(clause144, conjecture,
% 37.25/5.86 (~( ( hskp11 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 37.25/5.86 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.86 ( ~( c0_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_116, negated_conjecture,
% 37.25/5.86 (( hskp11 ) | ( c0_1 @ V ) | ( c3_1 @ U ) | ( ~( c3_1 @ V ) ) |
% 37.25/5.86 ( ~( c2_1 @ V ) ) | ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) |
% 37.25/5.86 ( ~( c0_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause144])).
% 37.25/5.86 thf(zip_derived_cl143, plain,
% 37.25/5.86 (![X0 : $i, X1 : $i]:
% 37.25/5.86 ( (hskp11)
% 37.25/5.86 | (c0_1 @ X0)
% 37.25/5.86 | (c3_1 @ X1)
% 37.25/5.86 | ~ (c3_1 @ X0)
% 37.25/5.86 | ~ (c2_1 @ X0)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c2_1 @ X1)
% 37.25/5.86 | ~ (c0_1 @ X1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_116])).
% 37.25/5.86 thf('197', plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ( (hskp11)) | ~ ( (ndr1_0)) |
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl143])).
% 37.25/5.86 thf(clause4, conjecture, (~( ( ndr1_0 ) | ( ~( hskp24 ) ) ))).
% 37.25/5.86 thf(zf_stmt_117, negated_conjecture, (( ndr1_0 ) | ( ~( hskp24 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause4])).
% 37.25/5.86 thf(zip_derived_cl3, plain, (( (ndr1_0) | ~ (hskp24))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_117])).
% 37.25/5.86 thf('198', plain, (( (ndr1_0)) | ~ ( (hskp24))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl3])).
% 37.25/5.86 thf(clause5, conjecture, (~( ( ndr1_0 ) | ( ~( hskp23 ) ) ))).
% 37.25/5.86 thf(zf_stmt_118, negated_conjecture, (( ndr1_0 ) | ( ~( hskp23 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause5])).
% 37.25/5.86 thf(zip_derived_cl4, plain, (( (ndr1_0) | ~ (hskp23))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_118])).
% 37.25/5.86 thf('199', plain, (( (ndr1_0)) | ~ ( (hskp23))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl4])).
% 37.25/5.86 thf(clause28, conjecture, (~( ( ndr1_0 ) | ( ~( hskp0 ) ) ))).
% 37.25/5.86 thf(zf_stmt_119, negated_conjecture, (( ndr1_0 ) | ( ~( hskp0 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause28])).
% 37.25/5.86 thf(zip_derived_cl27, plain, (( (ndr1_0) | ~ (hskp0))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_119])).
% 37.25/5.86 thf('200', plain, (~ ( (hskp0)) | ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl27])).
% 37.25/5.86 thf(clause33, conjecture, (~( ( hskp0 ) | ( hskp23 ) | ( hskp24 ) ))).
% 37.25/5.86 thf(zf_stmt_120, negated_conjecture, (( hskp0 ) | ( hskp23 ) | ( hskp24 )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause33])).
% 37.25/5.86 thf(zip_derived_cl32, plain, (( (hskp0) | (hskp23) | (hskp24))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_120])).
% 37.25/5.86 thf('201', plain, (( (hskp24)) | ( (hskp23)) | ( (hskp0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl32])).
% 37.25/5.86 thf(zip_derived_cl918, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl906])).
% 37.25/5.86 thf(zip_derived_cl237, plain, (( (c1_1 @ a9)) <= (( (c1_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl40])).
% 37.25/5.86 thf(zip_derived_cl484, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl141])).
% 37.25/5.86 thf(zip_derived_cl591, plain,
% 37.25/5.86 (((~ (c2_1 @ a9) | ~ (c3_1 @ a9)))
% 37.25/5.86 <= (( (c1_1 @ a9)) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl484])).
% 37.25/5.86 thf(zip_derived_cl602, plain, ((~ (c3_1 @ a9)) <= (~ ( (c3_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl591])).
% 37.25/5.86 thf(zip_derived_cl2232, plain,
% 37.25/5.86 ((~ (c2_1 @ a9))
% 37.25/5.86 <= (~ ( (c3_1 @ a9)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl918, zip_derived_cl602])).
% 37.25/5.86 thf(zip_derived_cl239, plain, (( (c2_1 @ a9)) <= (( (c2_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 37.25/5.86 thf('202', plain,
% 37.25/5.86 (~ (![X1 : $i]: (~ (c2_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.86 ( (c3_1 @ a9)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a9))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl2232, zip_derived_cl239])).
% 37.25/5.86 thf(zip_derived_cl1068, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c0_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1060])).
% 37.25/5.86 thf(zip_derived_cl235, plain, (( (c0_1 @ a9)) <= (( (c0_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 37.25/5.86 thf(zip_derived_cl1689, plain,
% 37.25/5.86 ((~ (c2_1 @ a9))
% 37.25/5.86 <= (( (c0_1 @ a9)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1068, zip_derived_cl235])).
% 37.25/5.86 thf(zip_derived_cl239, plain, (( (c2_1 @ a9)) <= (( (c2_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 37.25/5.86 thf('203', plain,
% 37.25/5.86 (~ ( (c0_1 @ a9)) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a9))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1689, zip_derived_cl239])).
% 37.25/5.86 thf(zip_derived_cl457, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl134])).
% 37.25/5.86 thf(zip_derived_cl237, plain, (( (c1_1 @ a9)) <= (( (c1_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl40])).
% 37.25/5.86 thf(zip_derived_cl871, plain,
% 37.25/5.86 ((( (c3_1 @ a9) | ~ (c0_1 @ a9)))
% 37.25/5.86 <= (( (c1_1 @ a9)) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl237])).
% 37.25/5.86 thf(zip_derived_cl3751, plain, (( (c3_1 @ a9)) <= (( (c3_1 @ a9)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl871])).
% 37.25/5.86 thf(zip_derived_cl481, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.86 thf(zip_derived_cl3771, plain,
% 37.25/5.86 (((~ (c0_1 @ a9) | ~ (c2_1 @ a9)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) &
% 37.25/5.86 ( (c3_1 @ a9)))),
% 37.25/5.86 inference('s_sup-', [status(thm)],
% 37.25/5.86 [zip_derived_cl3751, zip_derived_cl481])).
% 37.25/5.86 thf('204', plain,
% 37.25/5.86 (~ ( (c3_1 @ a9)) | ~ ( (c0_1 @ a9)) |
% 37.25/5.86 ~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c2_1 @ a9))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl3771])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl291, plain, (( (c1_1 @ a7)) <= (( (c1_1 @ a7)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl67])).
% 37.25/5.86 thf(zip_derived_cl816, plain,
% 37.25/5.86 ((( (c2_1 @ a7) | ~ (c3_1 @ a7)))
% 37.25/5.86 <= (( (c1_1 @ a7)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl291])).
% 37.25/5.86 thf('205', plain,
% 37.25/5.86 (( (c2_1 @ a7)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a7)) | ~ ( (c1_1 @ a7))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl816])).
% 37.25/5.86 thf('206', plain, (( (c1_1 @ a6)) | ~ ( (hskp4))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl69])).
% 37.25/5.86 thf('207', plain, (( (c3_1 @ a6)) | ~ ( (hskp4))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl70])).
% 37.25/5.86 thf(clause108, conjecture, (~( ( ~( hskp4 ) ) | ( ~( c2_1 @ a6 ) ) ))).
% 37.25/5.86 thf(zf_stmt_121, negated_conjecture, (( ~( hskp4 ) ) | ( ~( c2_1 @ a6 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause108])).
% 37.25/5.86 thf(zip_derived_cl107, plain, ((~ (hskp4) | ~ (c2_1 @ a6))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_121])).
% 37.25/5.86 thf('208', plain, (~ ( (c2_1 @ a6)) | ~ ( (hskp4))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl107])).
% 37.25/5.86 thf(zip_derived_cl434, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl128])).
% 37.25/5.86 thf(zip_derived_cl295, plain, (( (c1_1 @ a6)) <= (( (c1_1 @ a6)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl69])).
% 37.25/5.86 thf(zip_derived_cl817, plain,
% 37.25/5.86 ((( (c2_1 @ a6) | ~ (c3_1 @ a6)))
% 37.25/5.86 <= (( (c1_1 @ a6)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl295])).
% 37.25/5.86 thf('209', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c1_1 @ a6)) | ( (c2_1 @ a6)) | ~ ( (c3_1 @ a6))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl817])).
% 37.25/5.86 thf(zip_derived_cl462, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl135])).
% 37.25/5.86 thf(zip_derived_cl414, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl123])).
% 37.25/5.86 thf(zip_derived_cl1459, plain,
% 37.25/5.86 ((![X0 : $i]:
% 37.25/5.86 ( (c0_1 @ X0) | ~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl462, zip_derived_cl414])).
% 37.25/5.86 thf(zip_derived_cl1489, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c2_1 @ X0) | ~ (c3_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1459])).
% 37.25/5.86 thf(zip_derived_cl245, plain, (( (c3_1 @ a3)) <= (( (c3_1 @ a3)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl44])).
% 37.25/5.86 thf(zip_derived_cl3695, plain,
% 37.25/5.86 ((( (c0_1 @ a3) | ~ (c2_1 @ a3)))
% 37.25/5.86 <= (( (c3_1 @ a3)) &
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1489, zip_derived_cl245])).
% 37.25/5.86 thf('210', plain,
% 37.25/5.86 (( (c0_1 @ a3)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a3)) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c1_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c3_1 @ a3))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl3695])).
% 37.25/5.86 thf(clause147, conjecture,
% 37.25/5.86 (~( ( hskp19 ) | ( c2_1 @ V ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 37.25/5.86 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 37.25/5.86 ( ~( c0_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_122, negated_conjecture,
% 37.25/5.86 (( hskp19 ) | ( c2_1 @ V ) | ( ~( c3_1 @ V ) ) | ( ~( c1_1 @ V ) ) |
% 37.25/5.86 ( ~( ndr1_0 ) ) | ( ~( c2_1 @ U ) ) | ( ~( c1_1 @ U ) ) |
% 37.25/5.86 ( ~( c0_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause147])).
% 37.25/5.86 thf(zip_derived_cl146, plain,
% 37.25/5.86 (![X0 : $i, X1 : $i]:
% 37.25/5.86 ( (hskp19)
% 37.25/5.86 | (c2_1 @ X0)
% 37.25/5.86 | ~ (c3_1 @ X0)
% 37.25/5.86 | ~ (c1_1 @ X0)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c2_1 @ X1)
% 37.25/5.86 | ~ (c1_1 @ X1)
% 37.25/5.86 | ~ (c0_1 @ X1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_122])).
% 37.25/5.86 thf('211', plain,
% 37.25/5.86 (( (hskp19)) |
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c1_1 @ X0) | (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (ndr1_0)) |
% 37.25/5.86 (![X0 : $i]: (~ (c1_1 @ X0) | ~ (c2_1 @ X0) | ~ (c0_1 @ X0)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl146])).
% 37.25/5.86 thf('212', plain, (( (c2_1 @ a33)) | ~ ( (hskp19))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl50])).
% 37.25/5.86 thf('213', plain, (( (c3_1 @ a33)) | ~ ( (hskp19))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl51])).
% 37.25/5.86 thf('214', plain, (~ ( (c0_1 @ a33)) | ~ ( (hskp19))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl81])).
% 37.25/5.86 thf(zip_derived_cl426, plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl126])).
% 37.25/5.86 thf(zip_derived_cl259, plain, (( (c3_1 @ a33)) <= (( (c3_1 @ a33)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl51])).
% 37.25/5.86 thf(zip_derived_cl773, plain,
% 37.25/5.86 ((( (c0_1 @ a33) | ~ (c2_1 @ a33)))
% 37.25/5.86 <= (( (c3_1 @ a33)) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl259])).
% 37.25/5.86 thf('215', plain,
% 37.25/5.86 (~ (![X0 : $i]: (~ (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a33)) | ( (c0_1 @ a33)) | ~ ( (c3_1 @ a33))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl773])).
% 37.25/5.86 thf(clause59, conjecture, (~( ( c2_1 @ a19 ) | ( ~( hskp11 ) ) ))).
% 37.25/5.86 thf(zf_stmt_123, negated_conjecture, (( c2_1 @ a19 ) | ( ~( hskp11 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause59])).
% 37.25/5.86 thf(zip_derived_cl58, plain, (( (c2_1 @ a19) | ~ (hskp11))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_123])).
% 37.25/5.86 thf('216', plain, (( (c2_1 @ a19)) | ~ ( (hskp11))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl58])).
% 37.25/5.86 thf(clause98, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c1_1 @ a19 ) ) ))).
% 37.25/5.86 thf(zf_stmt_124, negated_conjecture, (( ~( hskp11 ) ) | ( ~( c1_1 @ a19 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause98])).
% 37.25/5.86 thf(zip_derived_cl97, plain, ((~ (hskp11) | ~ (c1_1 @ a19))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_124])).
% 37.25/5.86 thf('217', plain, (~ ( (c1_1 @ a19)) | ~ ( (hskp11))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 37.25/5.86 thf(clause99, conjecture, (~( ( ~( hskp11 ) ) | ( ~( c3_1 @ a19 ) ) ))).
% 37.25/5.86 thf(zf_stmt_125, negated_conjecture, (( ~( hskp11 ) ) | ( ~( c3_1 @ a19 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause99])).
% 37.25/5.86 thf(zip_derived_cl98, plain, ((~ (hskp11) | ~ (c3_1 @ a19))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_125])).
% 37.25/5.86 thf('218', plain, (~ ( (c3_1 @ a19)) | ~ ( (hskp11))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl98])).
% 37.25/5.86 thf(zip_derived_cl391, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl117])).
% 37.25/5.86 thf(zip_derived_cl351, plain, ((~ (c1_1 @ a19)) <= (~ ( (c1_1 @ a19)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl97])).
% 37.25/5.86 thf(zip_derived_cl752, plain,
% 37.25/5.86 (((~ (c2_1 @ a19) | (c3_1 @ a19)))
% 37.25/5.86 <= (~ ( (c1_1 @ a19)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl351])).
% 37.25/5.86 thf('219', plain,
% 37.25/5.86 (( (c1_1 @ a19)) | ( (c3_1 @ a19)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a19))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl752])).
% 37.25/5.86 thf('220', plain,
% 37.25/5.86 (( (c3_1 @ a31)) | ( (c1_1 @ a31)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a31))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl750])).
% 37.25/5.86 thf('221', plain, (( (c0_1 @ a31)) | ~ ( (hskp17))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl52])).
% 37.25/5.86 thf('222', plain, (( (c2_1 @ a31)) | ~ ( (hskp17))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl53])).
% 37.25/5.86 thf('223', plain, (~ ( (c1_1 @ a31)) | ~ ( (hskp17))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl85])).
% 37.25/5.86 thf(zip_derived_cl2428, plain, (( (c3_1 @ a31)) <= (( (c3_1 @ a31)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl750])).
% 37.25/5.86 thf(zip_derived_cl481, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.86 thf(zip_derived_cl2440, plain,
% 37.25/5.86 (((~ (c0_1 @ a31) | ~ (c2_1 @ a31)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) &
% 37.25/5.86 ( (c3_1 @ a31)))),
% 37.25/5.86 inference('s_sup-', [status(thm)],
% 37.25/5.86 [zip_derived_cl2428, zip_derived_cl481])).
% 37.25/5.86 thf('224', plain,
% 37.25/5.86 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c3_1 @ a31)) | ~ ( (c2_1 @ a31)) | ~ ( (c0_1 @ a31))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl2440])).
% 37.25/5.86 thf('225', plain,
% 37.25/5.86 ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.86 (![X0 : $i]: ( (c1_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 (![X1 : $i]: (~ (c2_1 @ X1) | (c1_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl149])).
% 37.25/5.86 thf('226', plain, (( (c0_1 @ a10)) | ~ ( (hskp26))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl36])).
% 37.25/5.86 thf('227', plain, (( (c2_1 @ a10)) | ~ ( (hskp26))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 37.25/5.86 thf('228', plain, (( (c3_1 @ a10)) | ~ ( (hskp26))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 37.25/5.86 thf(zip_derived_cl233, plain, (( (c3_1 @ a10)) <= (( (c3_1 @ a10)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 37.25/5.86 thf(zip_derived_cl481, plain,
% 37.25/5.86 ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.86 thf(zip_derived_cl580, plain,
% 37.25/5.86 (((~ (c0_1 @ a10) | ~ (c2_1 @ a10)))
% 37.25/5.86 <= (( (c3_1 @ a10)) &
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl481])).
% 37.25/5.86 thf('229', plain,
% 37.25/5.86 (~ (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (c0_1 @ a10)) | ~ ( (c3_1 @ a10)) | ~ ( (c2_1 @ a10))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl580])).
% 37.25/5.86 thf(zip_derived_cl517, plain,
% 37.25/5.86 ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1)))
% 37.25/5.86 <= ((![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl149])).
% 37.25/5.86 thf(zip_derived_cl255, plain, (( (c1_1 @ a37)) <= (( (c1_1 @ a37)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl49])).
% 37.25/5.86 thf(zip_derived_cl1377, plain,
% 37.25/5.86 ((( (c3_1 @ a37) | (c0_1 @ a37)))
% 37.25/5.86 <= (( (c1_1 @ a37)) &
% 37.25/5.86 (![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl255])).
% 37.25/5.86 thf('230', plain,
% 37.25/5.86 (~ ( (c1_1 @ a37)) | ( (c0_1 @ a37)) |
% 37.25/5.86 ~ (![X1 : $i]: ( (c0_1 @ X1) | ~ (c1_1 @ X1) | (c3_1 @ X1))) |
% 37.25/5.86 ( (c3_1 @ a37))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1377])).
% 37.25/5.86 thf('231', plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | (c1_1 @ X0) | ~ (c2_1 @ X0))) |
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl140])).
% 37.25/5.86 thf('232', plain, (~ ( (c1_1 @ a32)) | ~ ( (hskp18))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl83])).
% 37.25/5.86 thf('233', plain, (~ ( (c3_1 @ a32)) | ~ ( (hskp18))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl84])).
% 37.25/5.86 thf(clause73, conjecture, (~( ( c2_1 @ a2 ) | ( ~( hskp1 ) ) ))).
% 37.25/5.86 thf(zf_stmt_126, negated_conjecture, (( c2_1 @ a2 ) | ( ~( hskp1 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause73])).
% 37.25/5.86 thf(zip_derived_cl72, plain, (( (c2_1 @ a2) | ~ (hskp1))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_126])).
% 37.25/5.86 thf('234', plain, (( (c2_1 @ a2)) | ~ ( (hskp1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl72])).
% 37.25/5.86 thf(clause114, conjecture, (~( ( ~( hskp1 ) ) | ( ~( c0_1 @ a2 ) ) ))).
% 37.25/5.86 thf(zf_stmt_127, negated_conjecture, (( ~( hskp1 ) ) | ( ~( c0_1 @ a2 ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause114])).
% 37.25/5.86 thf(zip_derived_cl113, plain, ((~ (hskp1) | ~ (c0_1 @ a2))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_127])).
% 37.25/5.86 thf('235', plain, (~ ( (c0_1 @ a2)) | ~ ( (hskp1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl113])).
% 37.25/5.86 thf('236', plain, (~ ( (c3_1 @ a2)) | ~ ( (hskp1))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl114])).
% 37.25/5.86 thf(zip_derived_cl398, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl119])).
% 37.25/5.86 thf(zip_derived_cl385, plain, ((~ (c3_1 @ a2)) <= (~ ( (c3_1 @ a2)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl114])).
% 37.25/5.86 thf(zip_derived_cl977, plain,
% 37.25/5.86 ((( (c0_1 @ a2) | ~ (c2_1 @ a2)))
% 37.25/5.86 <= (~ ( (c3_1 @ a2)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl385])).
% 37.25/5.86 thf('237', plain,
% 37.25/5.86 (( (c0_1 @ a2)) | ( (c3_1 @ a2)) |
% 37.25/5.86 ~ (![X0 : $i]: ( (c3_1 @ X0) | ~ (c2_1 @ X0) | (c0_1 @ X0))) |
% 37.25/5.86 ~ ( (c2_1 @ a2))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl977])).
% 37.25/5.86 thf('238', plain,
% 37.25/5.86 ((![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ( (hskp18)) | ( (hskp17)) | ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl127])).
% 37.25/5.86 thf(zip_derived_cl1208, plain,
% 37.25/5.86 ((![X0 : $i]: ( (c2_1 @ X0) | ~ (c0_1 @ X0)))
% 37.25/5.86 <= ((![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('simplify', [status(thm)], [zip_derived_cl1199])).
% 37.25/5.86 thf(zip_derived_cl287, plain, (( (c0_1 @ a8)) <= (( (c0_1 @ a8)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl65])).
% 37.25/5.86 thf(zip_derived_cl2067, plain,
% 37.25/5.86 (( (c2_1 @ a8))
% 37.25/5.86 <= (( (c0_1 @ a8)) &
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) &
% 37.25/5.86 (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))))),
% 37.25/5.86 inference('s_sup+', [status(thm)],
% 37.25/5.86 [zip_derived_cl1208, zip_derived_cl287])).
% 37.25/5.86 thf(zip_derived_cl367, plain, ((~ (c2_1 @ a8)) <= (~ ( (c2_1 @ a8)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl105])).
% 37.25/5.86 thf('239', plain,
% 37.25/5.86 (~ (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ~ (![X0 : $i]: (~ (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 ( (c2_1 @ a8)) | ~ ( (c0_1 @ a8))),
% 37.25/5.86 inference('s_sup-', [status(thm)],
% 37.25/5.86 [zip_derived_cl2067, zip_derived_cl367])).
% 37.25/5.86 thf(clause152, conjecture,
% 37.25/5.86 (~( ( c3_1 @ W ) | ( c2_1 @ W ) | ( c3_1 @ V ) | ( c2_1 @ V ) |
% 37.25/5.86 ( ~( c0_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.86 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) ) ))).
% 37.25/5.86 thf(zf_stmt_128, negated_conjecture,
% 37.25/5.86 (( c3_1 @ W ) | ( c2_1 @ W ) | ( c3_1 @ V ) | ( c2_1 @ V ) |
% 37.25/5.86 ( ~( c0_1 @ W ) ) | ( ~( c1_1 @ V ) ) | ( ~( ndr1_0 ) ) |
% 37.25/5.86 ( ~( c3_1 @ U ) ) | ( ~( c2_1 @ U ) ) | ( ~( c0_1 @ U ) )),
% 37.25/5.86 inference('cnf.neg', [status(esa)], [clause152])).
% 37.25/5.86 thf(zip_derived_cl151, plain,
% 37.25/5.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.25/5.86 ( (c3_1 @ X0)
% 37.25/5.86 | (c2_1 @ X0)
% 37.25/5.86 | (c3_1 @ X1)
% 37.25/5.86 | (c2_1 @ X1)
% 37.25/5.86 | ~ (c0_1 @ X0)
% 37.25/5.86 | ~ (c1_1 @ X1)
% 37.25/5.86 | ~ (ndr1_0)
% 37.25/5.86 | ~ (c3_1 @ X2)
% 37.25/5.86 | ~ (c2_1 @ X2)
% 37.25/5.86 | ~ (c0_1 @ X2))),
% 37.25/5.86 inference('cnf', [status(esa)], [zf_stmt_128])).
% 37.25/5.86 thf('240', plain,
% 37.25/5.86 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.86 (![X0 : $i]: ( (c3_1 @ X0) | (c2_1 @ X0) | ~ (c0_1 @ X0))) |
% 37.25/5.86 (![X1 : $i]: (~ (c0_1 @ X1) | ~ (c2_1 @ X1) | ~ (c3_1 @ X1))) |
% 37.25/5.86 ~ ( (ndr1_0))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl151])).
% 37.25/5.86 thf(zip_derived_cl508, plain,
% 37.25/5.86 ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2)))
% 37.25/5.86 <= ((![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl147])).
% 37.25/5.86 thf(zip_derived_cl289, plain, (( (c1_1 @ a8)) <= (( (c1_1 @ a8)))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl66])).
% 37.25/5.86 thf(zip_derived_cl1291, plain,
% 37.25/5.86 ((( (c3_1 @ a8) | (c2_1 @ a8)))
% 37.25/5.86 <= (( (c1_1 @ a8)) &
% 37.25/5.86 (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))))),
% 37.25/5.86 inference('s_sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl289])).
% 37.25/5.86 thf('241', plain,
% 37.25/5.86 (~ (![X2 : $i]: ( (c2_1 @ X2) | (c3_1 @ X2) | ~ (c1_1 @ X2))) |
% 37.25/5.86 ( (c3_1 @ a8)) | ( (c2_1 @ a8)) | ~ ( (c1_1 @ a8))),
% 37.25/5.86 inference('split', [status(esa)], [zip_derived_cl1291])).
% 37.25/5.86 thf(zip_derived_cl27936, plain, ($false),
% 37.25/5.86 inference('sat_resolution*', [status(thm)],
% 37.25/5.86 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 37.25/5.86 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 37.25/5.86 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 37.25/5.86 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 37.25/5.86 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 37.25/5.86 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 37.25/5.86 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71',
% 37.25/5.86 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81',
% 37.25/5.86 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91',
% 37.25/5.86 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101',
% 37.25/5.86 '102', '103', '104', '105', '106', '107', '108', '109',
% 37.25/5.86 '110', '111', '112', '113', '114', '115', '116', '117',
% 37.25/5.86 '118', '119', '120', '121', '122', '123', '124', '125',
% 37.25/5.86 '126', '127', '128', '129', '130', '131', '132', '133',
% 37.25/5.86 '134', '135', '136', '137', '138', '139', '140', '141',
% 37.25/5.86 '142', '143', '144', '145', '146', '147', '148', '149',
% 37.25/5.86 '150', '151', '152', '153', '154', '155', '156', '157',
% 37.25/5.86 '158', '159', '160', '161', '162', '163', '164', '165',
% 37.25/5.86 '166', '167', '168', '169', '170', '171', '172', '173',
% 37.25/5.86 '174', '175', '176', '177', '178', '179', '180', '181',
% 37.25/5.86 '182', '183', '184', '185', '186', '187', '188', '189',
% 37.25/5.86 '190', '191', '192', '193', '194', '195', '196', '197',
% 37.25/5.86 '198', '199', '200', '201', '202', '203', '204', '205',
% 37.25/5.86 '206', '207', '208', '209', '210', '211', '212', '213',
% 37.25/5.86 '214', '215', '216', '217', '218', '219', '220', '221',
% 37.25/5.86 '222', '223', '224', '225', '226', '227', '228', '229',
% 37.25/5.86 '230', '231', '232', '233', '234', '235', '236', '237',
% 37.25/5.86 '238', '239', '240', '241'])).
% 37.25/5.86
% 37.25/5.86 % SZS output end Refutation
% 37.25/5.86
% 37.25/5.86
% 37.25/5.86 % Terminating...
% 37.25/5.90 % Runner terminated.
% 37.25/5.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------