TSTP Solution File: SYN843-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN843-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F0nGTm6cDU true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:05:42 EDT 2023
% Result : Unsatisfiable 10.27s 2.16s
% Output : Refutation 10.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN843-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.F0nGTm6cDU true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 17:14:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.27/2.16 % Solved by fo/fo7.sh.
% 10.27/2.16 % done 712 iterations in 1.330s
% 10.27/2.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.27/2.16 % SZS output start Refutation
% 10.27/2.16 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 10.27/2.16 $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 10.27/2.16 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 10.27/2.16 $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 10.27/2.16 $i > $o).
% 10.27/2.16 thf(skc29_type, type, skc29: $i).
% 10.27/2.16 thf(ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.27/2.16 $i > $i > $o).
% 10.27/2.16 thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ssPv12_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(skc21_type, type, skc21: $i).
% 10.27/2.16 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(skc25_type, type, skc25: $i).
% 10.27/2.16 thf(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, ssPv16_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv17_4r1r1r1r1_type, type, ssPv17_4r1r1r1r1: $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(skc26_type, type, skc26: $i).
% 10.27/2.16 thf(ssPv17_9r1r1r1r1r1r1r1r1r1_type, type, ssPv17_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.27/2.16 $i > $i > $o).
% 10.27/2.16 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.27/2.16 $i > $i > $o).
% 10.27/2.16 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.27/2.16 $i > $i >
% 10.27/2.16 $i > $i >
% 10.27/2.16 $i > $i > $o).
% 10.27/2.16 thf(skc31_type, type, skc31: $i).
% 10.27/2.16 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 10.27/2.16 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 10.27/2.16 $i > $i >
% 10.27/2.16 $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, ssPv15_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv13_9r1r1r1r1r1r1r1r1r1_type, type, ssPv13_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.27/2.16 $i > $i > $o).
% 10.27/2.16 thf(skc30_type, type, skc30: $i).
% 10.27/2.16 thf(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, ssPv14_9r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.27/2.16 thf(skc16_type, type, skc16: $i).
% 10.27/2.16 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 10.27/2.16 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 10.27/2.16 $i > $i >
% 10.27/2.16 $i > $i > $i > $o).
% 10.27/2.16 thf(ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.27/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.27/2.16 $i > $i > $o).
% 10.27/2.16 thf(clause27, conjecture,
% 10.27/2.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 10.27/2.16 thf(zf_stmt_0, negated_conjecture,
% 10.27/2.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause27])).
% 10.27/2.16 thf(zip_derived_cl549, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.27/2.16 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 10.27/2.16 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause1])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl579, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl575])).
% 10.27/2.16 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 10.27/2.16 thf(zf_stmt_2, negated_conjecture,
% 10.27/2.16 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause2])).
% 10.27/2.16 thf(zip_derived_cl574, plain,
% 10.27/2.16 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(clause3, conjecture,
% 10.27/2.16 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) ))).
% 10.27/2.16 thf(zf_stmt_3, negated_conjecture,
% 10.27/2.16 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause3])).
% 10.27/2.16 thf(zip_derived_cl573, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]:
% 10.27/2.16 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(clause10, conjecture,
% 10.27/2.16 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 10.27/2.16 thf(zf_stmt_4, negated_conjecture,
% 10.27/2.16 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause10])).
% 10.27/2.16 thf(zip_derived_cl566, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.27/2.16 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl599, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl579, zip_derived_cl581, zip_derived_cl582,
% 10.27/2.16 zip_derived_cl589])).
% 10.27/2.16 thf(clause447, conjecture,
% 10.27/2.16 (~( ( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.16 X10 ) |
% 10.27/2.16 ( ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.16 X10 ) |
% 10.27/2.16 ( ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.16 X10 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.16 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.27/2.16 X9 @ X10 ) ) ))).
% 10.27/2.16 thf(zf_stmt_5, negated_conjecture,
% 10.27/2.16 (( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.27/2.16 ( ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.27/2.16 ( ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.16 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.16 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.16 X10 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause447])).
% 10.27/2.16 thf(zip_derived_cl129, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.16 X14 : $i, X15 : $i]:
% 10.27/2.16 ( (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.16 | (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.16 | (ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.16 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.27/2.16 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(clause21, conjecture,
% 10.27/2.16 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 10.27/2.16 thf(zf_stmt_6, negated_conjecture,
% 10.27/2.16 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause21])).
% 10.27/2.16 thf(zip_derived_cl555, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(clause34, conjecture,
% 10.27/2.16 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 10.27/2.16 thf(zf_stmt_7, negated_conjecture,
% 10.27/2.16 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause34])).
% 10.27/2.16 thf(zip_derived_cl542, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(clause49, conjecture,
% 10.27/2.16 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 10.27/2.16 thf(zf_stmt_8, negated_conjecture,
% 10.27/2.16 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause49])).
% 10.27/2.16 thf(zip_derived_cl527, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_8])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(clause71, conjecture,
% 10.27/2.16 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 10.27/2.16 thf(zf_stmt_9, negated_conjecture,
% 10.27/2.16 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause71])).
% 10.27/2.16 thf(zip_derived_cl505, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(clause97, conjecture,
% 10.27/2.16 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 10.27/2.16 thf(zf_stmt_10, negated_conjecture,
% 10.27/2.16 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause97])).
% 10.27/2.16 thf(zip_derived_cl479, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_10])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(clause118, conjecture,
% 10.27/2.16 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.27/2.16 thf(zf_stmt_11, negated_conjecture,
% 10.27/2.16 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause118])).
% 10.27/2.16 thf(zip_derived_cl458, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_11])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(clause145, conjecture,
% 10.27/2.16 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.27/2.16 thf(zf_stmt_12, negated_conjecture,
% 10.27/2.16 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause145])).
% 10.27/2.16 thf(zip_derived_cl431, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_12])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(clause176, conjecture,
% 10.27/2.16 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 10.27/2.16 thf(zf_stmt_13, negated_conjecture,
% 10.27/2.16 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause176])).
% 10.27/2.16 thf(zip_derived_cl400, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_13])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(zip_derived_cl884, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.16 thf(clause202, conjecture,
% 10.27/2.16 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 10.27/2.16 thf(zf_stmt_14, negated_conjecture,
% 10.27/2.16 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause202])).
% 10.27/2.16 thf(zip_derived_cl374, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.16 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_14])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(zip_derived_cl884, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.16 thf(zip_derived_cl955, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884])).
% 10.27/2.16 thf(clause232, conjecture,
% 10.27/2.16 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 10.27/2.16 thf(zf_stmt_15, negated_conjecture,
% 10.27/2.16 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause232])).
% 10.27/2.16 thf(zip_derived_cl344, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.16 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_15])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(zip_derived_cl884, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.16 thf(zip_derived_cl955, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884])).
% 10.27/2.16 thf(zip_derived_cl1009, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.16 thf(clause265, conjecture,
% 10.27/2.16 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.27/2.16 thf(zf_stmt_16, negated_conjecture,
% 10.27/2.16 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause265])).
% 10.27/2.16 thf(zip_derived_cl311, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.16 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_16])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(zip_derived_cl884, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.16 thf(zip_derived_cl955, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884])).
% 10.27/2.16 thf(zip_derived_cl1009, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.16 thf(zip_derived_cl1066, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.16 thf(clause300, conjecture,
% 10.27/2.16 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.27/2.16 thf(zf_stmt_17, negated_conjecture,
% 10.27/2.16 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause300])).
% 10.27/2.16 thf(zip_derived_cl276, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.16 X14 : $i]:
% 10.27/2.16 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_17])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(zip_derived_cl884, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.16 thf(zip_derived_cl955, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884])).
% 10.27/2.16 thf(zip_derived_cl1009, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.16 thf(zip_derived_cl1066, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.16 thf(zip_derived_cl1133, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.16 X14 : $i]:
% 10.27/2.16 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl276, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.16 zip_derived_cl1066])).
% 10.27/2.16 thf(zip_derived_cl1407, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.16 X14 : $i, X15 : $i]:
% 10.27/2.16 ( (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.16 | (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.16 | (ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.16 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl129, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.16 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.16 zip_derived_cl1066, zip_derived_cl1133])).
% 10.27/2.16 thf(clause301, conjecture,
% 10.27/2.16 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.16 skc16 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.27/2.16 thf(zf_stmt_18, negated_conjecture,
% 10.27/2.16 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.16 skc16 ) |
% 10.27/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.27/2.16 inference('cnf.neg', [status(esa)], [clause301])).
% 10.27/2.16 thf(zip_derived_cl275, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.16 X14 : $i]:
% 10.27/2.16 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 10.27/2.16 | ~ (ssNder1_0)
% 10.27/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7)
% 10.27/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8)
% 10.27/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9)
% 10.27/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_18])).
% 10.27/2.16 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.16 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.16 thf(zip_derived_cl582, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.16 thf(zip_derived_cl589, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582])).
% 10.27/2.16 thf(zip_derived_cl607, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.16 thf(zip_derived_cl624, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.16 thf(zip_derived_cl648, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624])).
% 10.27/2.16 thf(zip_derived_cl676, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.16 thf(zip_derived_cl732, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.16 thf(zip_derived_cl775, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i]:
% 10.27/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732])).
% 10.27/2.16 thf(zip_derived_cl821, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.16 X7 @ X8 @ X9)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.16 thf(zip_derived_cl884, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.16 inference('demod', [status(thm)],
% 10.27/2.16 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.16 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.16 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.16 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.16 thf(zip_derived_cl955, plain,
% 10.27/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl1009, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.17 thf(zip_derived_cl1066, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.17 thf(zip_derived_cl1139, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl275, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066])).
% 10.27/2.17 thf(clause455, conjecture,
% 10.27/2.17 (~( ( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) |
% 10.27/2.17 ( ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.27/2.17 X9 @ X10 ) ) |
% 10.27/2.17 ( ~( ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.27/2.17 X9 @ X10 ) ) ))).
% 10.27/2.17 thf(zf_stmt_19, negated_conjecture,
% 10.27/2.17 (( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.27/2.17 ( ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) ) |
% 10.27/2.17 ( ~( ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause455])).
% 10.27/2.17 thf(zip_derived_cl121, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.17 | (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.17 | ~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7)
% 10.27/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.27/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.17 | ~ (ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_19])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl607, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(zip_derived_cl624, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.17 thf(zip_derived_cl648, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624])).
% 10.27/2.17 thf(zip_derived_cl676, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.17 thf(zip_derived_cl732, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.17 thf(zip_derived_cl775, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i]:
% 10.27/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732])).
% 10.27/2.17 thf(zip_derived_cl821, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8 @ X9)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.17 thf(zip_derived_cl884, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.17 thf(zip_derived_cl955, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl1009, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.17 thf(zip_derived_cl1066, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.17 thf(zip_derived_cl1133, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl276, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066])).
% 10.27/2.17 thf(zip_derived_cl1468, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.17 | (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.27/2.17 | ~ (ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl121, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066, zip_derived_cl1133])).
% 10.27/2.17 thf(zip_derived_cl1469, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (~ (ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16))),
% 10.27/2.17 inference('sup-', [status(thm)], [zip_derived_cl1139, zip_derived_cl1468])).
% 10.27/2.17 thf(zip_derived_cl1470, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16))),
% 10.27/2.17 inference('sup-', [status(thm)], [zip_derived_cl1407, zip_derived_cl1469])).
% 10.27/2.17 thf(zip_derived_cl1139, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl275, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066])).
% 10.27/2.17 thf(zip_derived_cl1471, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 ( (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16))),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl1470, zip_derived_cl1139])).
% 10.27/2.17 thf(zip_derived_cl1472, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 ( (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.27/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16))),
% 10.27/2.17 inference('simplify', [status(thm)], [zip_derived_cl1471])).
% 10.27/2.17 thf(clause377, conjecture,
% 10.27/2.17 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.27/2.17 X9 @ X10 ) ) ))).
% 10.27/2.17 thf(zf_stmt_20, negated_conjecture,
% 10.27/2.17 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause377])).
% 10.27/2.17 thf(zip_derived_cl199, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.17 | ~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7)
% 10.27/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.27/2.17 | ~ (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_20])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl607, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(zip_derived_cl624, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.17 thf(zip_derived_cl648, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624])).
% 10.27/2.17 thf(zip_derived_cl676, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.17 thf(zip_derived_cl732, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.17 thf(zip_derived_cl775, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i]:
% 10.27/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732])).
% 10.27/2.17 thf(zip_derived_cl821, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8 @ X9)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.17 thf(zip_derived_cl884, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.17 thf(zip_derived_cl955, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl1009, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.17 thf(zip_derived_cl1066, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.17 thf(zip_derived_cl1133, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl276, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066])).
% 10.27/2.17 thf(zip_derived_cl1274, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.17 | ~ (ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl199, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066, zip_derived_cl1133])).
% 10.27/2.17 thf(zip_derived_cl1473, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 ( (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc16)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.27/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 10.27/2.17 inference('sup-', [status(thm)], [zip_derived_cl1472, zip_derived_cl1274])).
% 10.27/2.17 thf(clause350, conjecture,
% 10.27/2.17 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.27/2.17 X9 @ X10 ) ) ))).
% 10.27/2.17 thf(zf_stmt_21, negated_conjecture,
% 10.27/2.17 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause350])).
% 10.27/2.17 thf(zip_derived_cl226, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7)
% 10.27/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.27/2.17 | ~ (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_21])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl607, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(zip_derived_cl624, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.17 thf(zip_derived_cl648, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624])).
% 10.27/2.17 thf(zip_derived_cl676, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.17 thf(zip_derived_cl732, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.17 thf(zip_derived_cl775, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i]:
% 10.27/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732])).
% 10.27/2.17 thf(zip_derived_cl821, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8 @ X9)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.17 thf(zip_derived_cl884, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.17 thf(zip_derived_cl955, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl1009, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.17 thf(zip_derived_cl1066, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.17 thf(zip_derived_cl1133, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl276, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066])).
% 10.27/2.17 thf(zip_derived_cl1214, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl226, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066, zip_derived_cl1133])).
% 10.27/2.17 thf(zip_derived_cl1474, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.27/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.27/2.17 | (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.27/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.27/2.17 skc16)
% 10.27/2.17 | (ssPv16_5r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10))),
% 10.27/2.17 inference('sup-', [status(thm)], [zip_derived_cl1473, zip_derived_cl1214])).
% 10.27/2.17 thf(clause347, conjecture,
% 10.27/2.17 (~( ( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.27/2.17 X9 @ X10 ) ) ))).
% 10.27/2.17 thf(zf_stmt_22, negated_conjecture,
% 10.27/2.17 (( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.27/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.27/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.27/2.17 ( ~( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.27/2.17 X10 ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause347])).
% 10.27/2.17 thf(zip_derived_cl229, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7)
% 10.27/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.27/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.27/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.27/2.17 | ~ (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_22])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl607, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(zip_derived_cl624, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.17 thf(zip_derived_cl648, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624])).
% 10.27/2.17 thf(zip_derived_cl676, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.17 thf(zip_derived_cl732, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.17 thf(zip_derived_cl775, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i]:
% 10.27/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732])).
% 10.27/2.17 thf(zip_derived_cl821, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8 @ X9)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.17 thf(zip_derived_cl884, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.17 thf(zip_derived_cl955, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl1009, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl344, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955])).
% 10.27/2.17 thf(zip_derived_cl1066, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.27/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl311, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009])).
% 10.27/2.17 thf(zip_derived_cl1133, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i]:
% 10.27/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl276, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066])).
% 10.27/2.17 thf(zip_derived_cl1195, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.27/2.17 X14 : $i, X15 : $i]:
% 10.27/2.17 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.27/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl229, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884, zip_derived_cl955, zip_derived_cl1009,
% 10.27/2.17 zip_derived_cl1066, zip_derived_cl1133])).
% 10.27/2.17 thf(zip_derived_cl1476, plain,
% 10.27/2.17 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 10.27/2.17 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 10.27/2.17 ( (ssPv16_5r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10)
% 10.27/2.17 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.27/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.27/2.17 | (ssPv17_4r1r1r1r1 @ X14 @ X13 @ X12 @ X11))),
% 10.27/2.17 inference('sup-', [status(thm)], [zip_derived_cl1474, zip_derived_cl1195])).
% 10.27/2.17 thf(clause234, conjecture,
% 10.27/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 10.27/2.17 thf(zf_stmt_23, negated_conjecture,
% 10.27/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.27/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.27/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.27/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.27/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.27/2.17 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.27/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause234])).
% 10.27/2.17 thf(zip_derived_cl342, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.27/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.27/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.27/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7)
% 10.27/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_23])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl607, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(zip_derived_cl624, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.17 thf(zip_derived_cl648, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624])).
% 10.27/2.17 thf(zip_derived_cl676, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.27/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.27/2.17 thf(zip_derived_cl684, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.27/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl342, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.17 thf(zip_derived_cl732, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.27/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.27/2.17 thf(zip_derived_cl735, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8)
% 10.27/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl684, zip_derived_cl732])).
% 10.27/2.17 thf(zip_derived_cl775, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i]:
% 10.27/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl458, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732])).
% 10.27/2.17 thf(zip_derived_cl778, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9)
% 10.27/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl775])).
% 10.27/2.17 thf(zip_derived_cl821, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.27/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.27/2.17 X7 @ X8 @ X9)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl431, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775])).
% 10.27/2.17 thf(zip_derived_cl823, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10)
% 10.27/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl778, zip_derived_cl821])).
% 10.27/2.17 thf(zip_derived_cl884, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.27/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl400, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821])).
% 10.27/2.17 thf(zip_derived_cl886, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.27/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl823, zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl955, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.27/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.27/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl374, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.27/2.17 zip_derived_cl732, zip_derived_cl775, zip_derived_cl821,
% 10.27/2.17 zip_derived_cl884])).
% 10.27/2.17 thf(zip_derived_cl956, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.27/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.27/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl886, zip_derived_cl955])).
% 10.27/2.17 thf(zip_derived_cl1478, plain,
% 10.27/2.17 (![X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.27/2.17 ( (ssPv17_4r1r1r1r1 @ X12 @ X11 @ X10 @ X9)
% 10.27/2.17 | (ssPv16_5r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 10.27/2.17 inference('sup-', [status(thm)], [zip_derived_cl1476, zip_derived_cl956])).
% 10.27/2.17 thf(clause24, conjecture,
% 10.27/2.17 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 10.27/2.17 thf(zf_stmt_24, negated_conjecture,
% 10.27/2.17 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 10.27/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause24])).
% 10.27/2.17 thf(zip_derived_cl552, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)
% 10.27/2.17 | ~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_24])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl615, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl552, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(clause50, conjecture,
% 10.27/2.17 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 10.27/2.17 thf(zf_stmt_25, negated_conjecture,
% 10.27/2.17 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 10.27/2.17 inference('cnf.neg', [status(esa)], [clause50])).
% 10.27/2.17 thf(zip_derived_cl526, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 10.27/2.17 | ~ (ssNder1_0)
% 10.27/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.27/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.27/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.27/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.27/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_25])).
% 10.27/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.27/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.27/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.27/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.27/2.17 thf(zip_derived_cl582, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.27/2.17 thf(zip_derived_cl589, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582])).
% 10.27/2.17 thf(zip_derived_cl607, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.27/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.27/2.17 thf(zip_derived_cl624, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.27/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.27/2.17 thf(zip_derived_cl650, plain,
% 10.27/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.27/2.17 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 10.27/2.17 inference('demod', [status(thm)],
% 10.27/2.17 [zip_derived_cl526, zip_derived_cl575, zip_derived_cl581,
% 10.27/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.27/2.17 zip_derived_cl624])).
% 10.27/2.17 thf(clause142, conjecture,
% 10.27/2.17 (~( ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.27/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.27/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.27/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.27/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.27/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.27/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.27/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.27/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.27/2.17 thf(zf_stmt_26, negated_conjecture,
% 10.27/2.17 (( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause142])).
% 10.92/2.17 thf(zip_derived_cl434, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_26])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl806, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl434, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(clause138, conjecture,
% 10.92/2.17 (~( ( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.92/2.17 thf(zf_stmt_27, negated_conjecture,
% 10.92/2.17 (( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause138])).
% 10.92/2.17 thf(zip_derived_cl438, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_27])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl800, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl438, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(clause187, conjecture,
% 10.92/2.17 (~( ( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.92/2.17 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.92/2.17 thf(zf_stmt_28, negated_conjecture,
% 10.92/2.17 (( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.92/2.17 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause187])).
% 10.92/2.17 thf(zip_derived_cl389, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7)
% 10.92/2.17 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_28])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl934, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl389, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(clause133, conjecture,
% 10.92/2.17 (~( ( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.92/2.17 thf(zf_stmt_29, negated_conjecture,
% 10.92/2.17 (( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause133])).
% 10.92/2.17 thf(zip_derived_cl443, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_29])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl796, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl443, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(clause190, conjecture,
% 10.92/2.17 (~( ( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.92/2.17 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.92/2.17 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.92/2.17 thf(zf_stmt_30, negated_conjecture,
% 10.92/2.17 (( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv17_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.92/2.17 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.92/2.17 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause190])).
% 10.92/2.17 thf(zip_derived_cl386, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7)
% 10.92/2.17 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_30])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl917, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl386, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(zip_derived_cl918, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 10.92/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl796, zip_derived_cl917])).
% 10.92/2.17 thf(zip_derived_cl937, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl934, zip_derived_cl918])).
% 10.92/2.17 thf(zip_derived_cl796, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv17_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl443, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(zip_derived_cl940, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0))),
% 10.92/2.17 inference('clc', [status(thm)], [zip_derived_cl937, zip_derived_cl796])).
% 10.92/2.17 thf(clause144, conjecture,
% 10.92/2.17 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.92/2.17 thf(zf_stmt_31, negated_conjecture,
% 10.92/2.17 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause144])).
% 10.92/2.17 thf(zip_derived_cl432, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7)
% 10.92/2.17 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_31])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl805, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.92/2.17 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl432, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(zip_derived_cl941, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 10.92/2.17 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl940, zip_derived_cl805])).
% 10.92/2.17 thf(zip_derived_cl942, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.92/2.17 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 10.92/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl941])).
% 10.92/2.17 thf(zip_derived_cl943, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.92/2.17 | (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.92/2.17 X1 @ X0)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 10.92/2.17 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.92/2.17 | ~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl806, zip_derived_cl942])).
% 10.92/2.17 thf(clause140, conjecture,
% 10.92/2.17 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 10.92/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.92/2.17 thf(zf_stmt_32, negated_conjecture,
% 10.92/2.17 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 10.92/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.92/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.92/2.17 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause140])).
% 10.92/2.17 thf(zip_derived_cl436, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.92/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7)
% 10.92/2.17 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_32])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl676, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl505, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl732, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.92/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl479, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676])).
% 10.92/2.17 thf(zip_derived_cl793, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.92/2.17 X7 : $i, X8 : $i]:
% 10.92/2.17 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 X7 @ X8))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl436, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624, zip_derived_cl648, zip_derived_cl676,
% 10.92/2.17 zip_derived_cl732])).
% 10.92/2.17 thf(zip_derived_cl944, plain,
% 10.92/2.17 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 10.92/2.17 (~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.92/2.17 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X8 @ X7 @ X6 @ X5)
% 10.92/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.92/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl943, zip_derived_cl793])).
% 10.92/2.17 thf(clause75, conjecture,
% 10.92/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) ) ))).
% 10.92/2.17 thf(zf_stmt_33, negated_conjecture,
% 10.92/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.92/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.92/2.17 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause75])).
% 10.92/2.17 thf(zip_derived_cl501, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.92/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 skc25))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_33])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl624, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl542, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl626, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.92/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.92/2.17 skc25))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl501, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl648, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589, zip_derived_cl607,
% 10.92/2.17 zip_derived_cl624])).
% 10.92/2.17 thf(zip_derived_cl649, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl626, zip_derived_cl648])).
% 10.92/2.17 thf(zip_derived_cl947, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.92/2.17 ( (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.92/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X6 @ X5 @ X4 @ X3)
% 10.92/2.17 | ~ (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl944, zip_derived_cl649])).
% 10.92/2.17 thf(zip_derived_cl948, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 (~ (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X5 @ X4 @ X3 @ X2)
% 10.92/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl947])).
% 10.92/2.17 thf(zip_derived_cl949, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 ( (ssPv15_6r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @ X4)
% 10.92/2.17 | ~ (ssPv17_4r1r1r1r1 @ X3 @ X2 @ X1 @ X0))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl615, zip_derived_cl948])).
% 10.92/2.17 thf(zip_derived_cl1483, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.92/2.17 ( (ssPv16_5r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X5)
% 10.92/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @ X4))),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl1478, zip_derived_cl949])).
% 10.92/2.17 thf(clause38, conjecture,
% 10.92/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.92/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 10.92/2.17 thf(zf_stmt_34, negated_conjecture,
% 10.92/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.92/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.92/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.92/2.17 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 10.92/2.17 inference('cnf.neg', [status(esa)], [clause38])).
% 10.92/2.17 thf(zip_derived_cl538, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (~ (ssNder1_0)
% 10.92/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_34])).
% 10.92/2.17 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 10.92/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.92/2.17 thf(zip_derived_cl578, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (~ (ssNder1_1r1 @ X0)
% 10.92/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.92/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.92/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl538, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 10.92/2.17 thf(zip_derived_cl582, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 10.92/2.17 thf(zip_derived_cl589, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582])).
% 10.92/2.17 thf(zip_derived_cl601, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.92/2.17 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl578, zip_derived_cl581, zip_derived_cl582,
% 10.92/2.17 zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl607, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.92/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.92/2.17 inference('demod', [status(thm)],
% 10.92/2.17 [zip_derived_cl555, zip_derived_cl575, zip_derived_cl581,
% 10.92/2.17 zip_derived_cl582, zip_derived_cl589])).
% 10.92/2.17 thf(zip_derived_cl608, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl601, zip_derived_cl607])).
% 10.92/2.17 thf(zip_derived_cl1498, plain,
% 10.92/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.92/2.17 (ssPv16_5r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X4)),
% 10.92/2.17 inference('sup-', [status(thm)], [zip_derived_cl1483, zip_derived_cl608])).
% 10.92/2.17 thf(zip_derived_cl1499, plain, ($false),
% 10.92/2.17 inference('demod', [status(thm)], [zip_derived_cl599, zip_derived_cl1498])).
% 10.92/2.17
% 10.92/2.17 % SZS output end Refutation
% 10.92/2.17
% 10.92/2.17
% 10.92/2.17 % Terminating...
% 11.25/2.27 % Runner terminated.
% 11.25/2.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------