TSTP Solution File: SYN869-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN869-1 : 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.nWdw2AgWQC true
% Computer : n031.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 04:05:54 EDT 2023
% Result : Unsatisfiable 1.53s 0.89s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN869-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nWdw2AgWQC true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:37:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.89 % Solved by fo/fo5.sh.
% 1.53/0.89 % done 69 iterations in 0.077s
% 1.53/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.53/0.89 % SZS output start Refutation
% 1.53/0.89 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 1.53/0.89 thf(ssPv19_2r1r1_type, type, ssPv19_2r1r1: $i > $i > $o).
% 1.53/0.89 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 1.53/0.89 thf(skc20_type, type, skc20: $i).
% 1.53/0.89 thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 1.53/0.89 $i > $o).
% 1.53/0.89 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(skc26_type, type, skc26: $i).
% 1.53/0.89 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 1.53/0.89 $i > $i > $i > $o).
% 1.53/0.89 thf(skc24_type, type, skc24: $i).
% 1.53/0.89 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 1.53/0.89 thf(skc19_type, type, skc19: $i).
% 1.53/0.89 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(skc31_type, type, skc31: $i).
% 1.53/0.89 thf(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(skc23_type, type, skc23: $i).
% 1.53/0.89 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 1.53/0.89 $i > $i >
% 1.53/0.89 $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 1.53/0.89 $i > $i >
% 1.53/0.89 $i > $i >
% 1.53/0.89 $i > $i > $o).
% 1.53/0.89 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 1.53/0.89 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 1.53/0.89 $i > $i >
% 1.53/0.89 $i > $i > $i > $o).
% 1.53/0.89 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 1.53/0.89 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.53/0.89 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.53/0.89 thf(clause7, conjecture,
% 1.53/0.89 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 1.53/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.53/0.89 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause7])).
% 1.53/0.89 thf(zip_derived_cl6, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.53/0.89 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 1.53/0.89 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause1])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 1.53/0.89 thf(zf_stmt_2, negated_conjecture,
% 1.53/0.89 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause2])).
% 1.53/0.89 thf(zip_derived_cl1, plain,
% 1.53/0.89 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(clause3, conjecture,
% 1.53/0.89 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) ))).
% 1.53/0.89 thf(zf_stmt_3, negated_conjecture,
% 1.53/0.89 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause3])).
% 1.53/0.89 thf(zip_derived_cl2, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]:
% 1.53/0.89 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(clause4, conjecture,
% 1.53/0.89 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 1.53/0.89 thf(zf_stmt_4, negated_conjecture,
% 1.53/0.89 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause4])).
% 1.53/0.89 thf(zip_derived_cl3, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.53/0.89 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl59, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl6, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(clause12, conjecture,
% 1.53/0.89 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.53/0.89 thf(zf_stmt_5, negated_conjecture,
% 1.53/0.89 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause12])).
% 1.53/0.89 thf(zip_derived_cl11, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(clause5, conjecture,
% 1.53/0.89 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 1.53/0.89 thf(zf_stmt_6, negated_conjecture,
% 1.53/0.89 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause5])).
% 1.53/0.89 thf(zip_derived_cl4, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(clause8, conjecture,
% 1.53/0.89 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 1.53/0.89 thf(zf_stmt_7, negated_conjecture,
% 1.53/0.89 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause8])).
% 1.53/0.89 thf(zip_derived_cl7, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl67, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl11, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(clause15, conjecture,
% 1.53/0.89 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.53/0.89 thf(zf_stmt_8, negated_conjecture,
% 1.53/0.89 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause15])).
% 1.53/0.89 thf(zip_derived_cl14, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(clause11, conjecture,
% 1.53/0.89 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.53/0.89 thf(zf_stmt_9, negated_conjecture,
% 1.53/0.89 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 1.53/0.89 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause11])).
% 1.53/0.89 thf(zip_derived_cl10, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl70, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl14, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(clause24, conjecture,
% 1.53/0.89 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 1.53/0.89 ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 1.53/0.89 thf(zf_stmt_10, negated_conjecture,
% 1.53/0.89 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 1.53/0.89 ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause24])).
% 1.53/0.89 thf(zip_derived_cl23, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.89 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7)
% 1.53/0.89 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.53/0.89 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8)
% 1.53/0.89 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(clause14, conjecture,
% 1.53/0.89 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.53/0.89 thf(zf_stmt_11, negated_conjecture,
% 1.53/0.89 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause14])).
% 1.53/0.89 thf(zip_derived_cl13, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl69, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(clause17, conjecture,
% 1.53/0.89 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 1.53/0.89 thf(zf_stmt_12, negated_conjecture,
% 1.53/0.89 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause17])).
% 1.53/0.89 thf(zip_derived_cl16, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.89 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl69, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(zip_derived_cl71, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.89 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.89 thf(clause18, conjecture,
% 1.53/0.89 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 1.53/0.89 thf(zf_stmt_13, negated_conjecture,
% 1.53/0.89 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause18])).
% 1.53/0.89 thf(zip_derived_cl17, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i]:
% 1.53/0.89 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl69, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(zip_derived_cl71, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.89 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.89 thf(zip_derived_cl72, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i]:
% 1.53/0.89 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71])).
% 1.53/0.89 thf(clause19, conjecture,
% 1.53/0.89 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 1.53/0.89 thf(zf_stmt_14, negated_conjecture,
% 1.53/0.89 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause19])).
% 1.53/0.89 thf(zip_derived_cl18, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.89 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7)
% 1.53/0.89 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl69, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(zip_derived_cl71, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.89 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.89 thf(zip_derived_cl72, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i]:
% 1.53/0.89 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71])).
% 1.53/0.89 thf(zip_derived_cl73, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.89 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8 @ X9)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.89 thf(zip_derived_cl78, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.89 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.89 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl23, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.89 thf(zip_derived_cl79, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.89 (~ (ssPv19_2r1r1 @ X6 @ X5)
% 1.53/0.89 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 1.53/0.89 X0 @ skc24 @ X9 @ X8 @ X7)
% 1.53/0.89 | (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 1.53/0.89 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl78])).
% 1.53/0.89 thf(zip_derived_cl70, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl14, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(clause43, conjecture,
% 1.53/0.89 (~( ( ssPv19_2r1r1 @ U @ V ) |
% 1.53/0.89 ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.53/0.89 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.53/0.89 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.89 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.89 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.89 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.53/0.89 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.53/0.89 thf(zf_stmt_15, negated_conjecture,
% 1.53/0.89 (( ssPv19_2r1r1 @ U @ V ) |
% 1.53/0.89 ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.53/0.89 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.53/0.89 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.89 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.89 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.89 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.53/0.89 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause43])).
% 1.53/0.89 thf(zip_derived_cl42, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.53/0.89 X14 : $i]:
% 1.53/0.89 ( (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.89 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.89 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.89 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.53/0.89 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.89 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7)
% 1.53/0.89 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8)
% 1.53/0.89 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9)
% 1.53/0.89 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.89 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.89 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.89 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.89 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.89 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.53/0.89 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.89 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl69, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(zip_derived_cl71, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.89 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.89 thf(zip_derived_cl72, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i]:
% 1.53/0.89 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71])).
% 1.53/0.89 thf(zip_derived_cl73, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.89 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8 @ X9)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.89 thf(clause20, conjecture,
% 1.53/0.89 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 1.53/0.89 thf(zf_stmt_16, negated_conjecture,
% 1.53/0.89 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause20])).
% 1.53/0.89 thf(zip_derived_cl19, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.89 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7)
% 1.53/0.89 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8)
% 1.53/0.89 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.89 thf(zip_derived_cl62, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.89 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.89 thf(zip_derived_cl65, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.89 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62])).
% 1.53/0.89 thf(zip_derived_cl69, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.89 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.89 thf(zip_derived_cl71, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.89 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.89 thf(zip_derived_cl72, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i]:
% 1.53/0.89 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71])).
% 1.53/0.89 thf(zip_derived_cl73, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.89 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7 @ X8 @ X9)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.89 thf(zip_derived_cl74, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.89 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.89 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.89 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.89 thf(clause21, conjecture,
% 1.53/0.89 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.89 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.89 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 1.53/0.89 thf(zf_stmt_17, negated_conjecture,
% 1.53/0.89 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.53/0.89 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.89 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.89 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.89 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.89 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.89 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.89 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.89 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.89 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.89 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.89 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 1.53/0.89 inference('cnf.neg', [status(esa)], [clause21])).
% 1.53/0.89 thf(zip_derived_cl20, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.89 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.89 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.89 | ~ (ssNder1_0)
% 1.53/0.89 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.89 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.89 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.89 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.89 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.89 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.89 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.89 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.89 X7)
% 1.53/0.89 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8)
% 1.53/0.89 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.89 X6 @ X7 @ X8 @ X9)
% 1.53/0.89 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.89 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.53/0.89 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.89 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.89 thf(zip_derived_cl57, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.89 thf(zip_derived_cl58, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.89 zip_derived_cl57])).
% 1.53/0.89 thf(zip_derived_cl60, plain,
% 1.53/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.89 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.89 inference('demod', [status(thm)],
% 1.53/0.89 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(clause25, conjecture,
% 1.53/0.90 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.53/0.90 thf(zf_stmt_18, negated_conjecture,
% 1.53/0.90 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause25])).
% 1.53/0.90 thf(zip_derived_cl24, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.53/0.90 | ~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl84, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(clause29, conjecture,
% 1.53/0.90 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.53/0.90 thf(zf_stmt_19, negated_conjecture,
% 1.53/0.90 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause29])).
% 1.53/0.90 thf(zip_derived_cl28, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.53/0.90 | ~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl84, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(zip_derived_cl88, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl28, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84])).
% 1.53/0.90 thf(zip_derived_cl123, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.53/0.90 X14 : $i]:
% 1.53/0.90 ( (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.90 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.53/0.90 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl42, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84,
% 1.53/0.90 zip_derived_cl88])).
% 1.53/0.90 thf(clause31, conjecture,
% 1.53/0.90 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.53/0.90 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.53/0.90 skc19 ) ) ))).
% 1.53/0.90 thf(zf_stmt_20, negated_conjecture,
% 1.53/0.90 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.53/0.90 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause31])).
% 1.53/0.90 thf(zip_derived_cl30, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.53/0.90 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl84, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(zip_derived_cl87, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84])).
% 1.53/0.90 thf(zip_derived_cl124, plain,
% 1.53/0.90 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 1.53/0.90 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.53/0.90 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.53/0.90 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.53/0.90 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.53/0.90 | (ssPv19_2r1r1 @ X13 @ X12))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl87])).
% 1.53/0.90 thf(clause23, conjecture,
% 1.53/0.90 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) ) ))).
% 1.53/0.90 thf(zf_stmt_21, negated_conjecture,
% 1.53/0.90 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause23])).
% 1.53/0.90 thf(zip_derived_cl22, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl75, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl22, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl125, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 ( (ssPv19_2r1r1 @ X11 @ X10)
% 1.53/0.90 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.53/0.90 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl75])).
% 1.53/0.90 thf(clause26, conjecture,
% 1.53/0.90 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.53/0.90 thf(zf_stmt_22, negated_conjecture,
% 1.53/0.90 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause26])).
% 1.53/0.90 thf(zip_derived_cl25, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 1.53/0.90 | ~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl86, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(clause38, conjecture,
% 1.53/0.90 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.53/0.90 thf(zf_stmt_23, negated_conjecture,
% 1.53/0.90 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause38])).
% 1.53/0.90 thf(zip_derived_cl37, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssPv20_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.53/0.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl84, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(zip_derived_cl93, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (~ (ssPv20_1r1 @ X0)
% 1.53/0.90 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.53/0.90 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl37, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84])).
% 1.53/0.90 thf(zip_derived_cl94, plain,
% 1.53/0.90 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 1.53/0.90 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.53/0.90 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.53/0.90 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.53/0.90 X6 @ X5)
% 1.53/0.90 | ~ (ssPv20_1r1 @ X12))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl93])).
% 1.53/0.90 thf(zip_derived_cl67, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl11, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(clause39, conjecture,
% 1.53/0.90 (~( ( ssPv20_1r1 @ U ) | ( ssPv19_2r1r1 @ U @ V ) |
% 1.53/0.90 ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 1.53/0.90 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.53/0.90 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.53/0.90 thf(zf_stmt_24, negated_conjecture,
% 1.53/0.90 (( ssPv20_1r1 @ U ) | ( ssPv19_2r1r1 @ U @ V ) |
% 1.53/0.90 ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) |
% 1.53/0.90 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.53/0.90 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.53/0.90 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause39])).
% 1.53/0.90 thf(zip_derived_cl38, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.53/0.90 X14 : $i]:
% 1.53/0.90 ( (ssPv20_1r1 @ X0)
% 1.53/0.90 | (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.90 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.53/0.90 | ~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.53/0.90 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl84, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(zip_derived_cl88, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl28, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84])).
% 1.53/0.90 thf(zip_derived_cl106, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.53/0.90 X14 : $i]:
% 1.53/0.90 ( (ssPv20_1r1 @ X0)
% 1.53/0.90 | (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.90 | (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.53/0.90 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl38, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84,
% 1.53/0.90 zip_derived_cl88])).
% 1.53/0.90 thf(zip_derived_cl87, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl30, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84])).
% 1.53/0.90 thf(zip_derived_cl107, plain,
% 1.53/0.90 (![X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 ( (ssPv16_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9)
% 1.53/0.90 | (ssPv19_2r1r1 @ X13 @ X12)
% 1.53/0.90 | (ssPv20_1r1 @ X13))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl87])).
% 1.53/0.90 thf(zip_derived_cl59, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl6, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl108, plain,
% 1.53/0.90 (![X2 : $i, X3 : $i]: ( (ssPv20_1r1 @ X3) | (ssPv19_2r1r1 @ X3 @ X2))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl59])).
% 1.53/0.90 thf(zip_derived_cl79, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (~ (ssPv19_2r1r1 @ X6 @ X5)
% 1.53/0.90 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 1.53/0.90 X0 @ skc24 @ X9 @ X8 @ X7)
% 1.53/0.90 | (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl78])).
% 1.53/0.90 thf(zip_derived_cl110, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 ( (ssPv20_1r1 @ X1)
% 1.53/0.90 | (ssPv16_5r1r1r1r1r1 @ X1 @ X0 @ X4 @ X3 @ X2)
% 1.53/0.90 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X1 @ X0 @ X4 @ X3 @ X2 @ X9 @
% 1.53/0.90 X8 @ skc24 @ X7 @ X6 @ X5))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl79])).
% 1.53/0.90 thf(zip_derived_cl86, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl25, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(clause37, conjecture,
% 1.53/0.90 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.53/0.90 thf(zf_stmt_25, negated_conjecture,
% 1.53/0.90 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.53/0.90 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 1.53/0.90 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.53/0.90 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.53/0.90 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.53/0.90 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.53/0.90 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.53/0.90 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.53/0.90 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.53/0.90 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.53/0.90 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.53/0.90 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.53/0.90 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.53/0.90 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.53/0.90 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.53/0.90 inference('cnf.neg', [status(esa)], [clause37])).
% 1.53/0.90 thf(zip_derived_cl36, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (~ (ssNder1_0)
% 1.53/0.90 | ~ (ssNder1_1r1 @ X0)
% 1.53/0.90 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.53/0.90 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.53/0.90 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.53/0.90 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.53/0.90 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7)
% 1.53/0.90 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8)
% 1.53/0.90 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9)
% 1.53/0.90 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.53/0.90 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.53/0.90 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.53/0.90 thf(zip_derived_cl0, plain, ( (ssNder1_0)),
% 1.53/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.53/0.90 thf(zip_derived_cl56, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.53/0.90 thf(zip_derived_cl57, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl2, zip_derived_cl0, zip_derived_cl56])).
% 1.53/0.90 thf(zip_derived_cl58, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl3, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57])).
% 1.53/0.90 thf(zip_derived_cl60, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl4, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl62, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.53/0.90 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl7, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60])).
% 1.53/0.90 thf(zip_derived_cl65, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl10, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62])).
% 1.53/0.90 thf(zip_derived_cl69, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.53/0.90 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl13, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65])).
% 1.53/0.90 thf(zip_derived_cl71, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.53/0.90 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl16, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69])).
% 1.53/0.90 thf(zip_derived_cl72, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i]:
% 1.53/0.90 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl17, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71])).
% 1.53/0.90 thf(zip_derived_cl73, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.53/0.90 X7 @ X8 @ X9)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl18, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72])).
% 1.53/0.90 thf(zip_derived_cl74, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.53/0.90 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl19, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73])).
% 1.53/0.90 thf(zip_derived_cl76, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.53/0.90 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl20, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74])).
% 1.53/0.90 thf(zip_derived_cl84, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76])).
% 1.53/0.90 thf(zip_derived_cl91, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.53/0.90 (~ (ssPv19_2r1r1 @ X0 @ X1)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.53/0.90 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.53/0.90 X6 @ X7 @ X8 @ X9 @ X10)
% 1.53/0.90 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.53/0.90 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl36, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58, zip_derived_cl60,
% 1.53/0.90 zip_derived_cl62, zip_derived_cl65, zip_derived_cl69,
% 1.53/0.90 zip_derived_cl71, zip_derived_cl72, zip_derived_cl73,
% 1.53/0.90 zip_derived_cl74, zip_derived_cl76, zip_derived_cl84])).
% 1.53/0.90 thf(zip_derived_cl92, plain,
% 1.53/0.90 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.53/0.90 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.53/0.90 X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 1.53/0.90 | ~ (ssPv19_2r1r1 @ X12 @ X11))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl91])).
% 1.53/0.90 thf(zip_derived_cl116, plain,
% 1.53/0.90 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 ( (ssPv16_5r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5)
% 1.53/0.90 | (ssPv20_1r1 @ X9)
% 1.53/0.90 | ~ (ssPv19_2r1r1 @ X9 @ X8)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl92])).
% 1.53/0.90 thf(zip_derived_cl108, plain,
% 1.53/0.90 (![X2 : $i, X3 : $i]: ( (ssPv20_1r1 @ X3) | (ssPv19_2r1r1 @ X3 @ X2))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl59])).
% 1.53/0.90 thf(zip_derived_cl117, plain,
% 1.53/0.90 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.53/0.90 | (ssPv20_1r1 @ X9)
% 1.53/0.90 | (ssPv16_5r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5))),
% 1.53/0.90 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl108])).
% 1.53/0.90 thf(zip_derived_cl118, plain,
% 1.53/0.90 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 ( (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1) | (ssPv20_1r1 @ X5))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl117])).
% 1.53/0.90 thf(zip_derived_cl59, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.53/0.90 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 1.53/0.90 inference('demod', [status(thm)],
% 1.53/0.90 [zip_derived_cl6, zip_derived_cl0, zip_derived_cl56,
% 1.53/0.90 zip_derived_cl57, zip_derived_cl58])).
% 1.53/0.90 thf(zip_derived_cl119, plain, (![X3 : $i]: (ssPv20_1r1 @ X3)),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl59])).
% 1.53/0.90 thf(zip_derived_cl120, plain,
% 1.53/0.90 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 1.53/0.90 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.53/0.90 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 1.53/0.90 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 1.53/0.90 X6 @ X5))),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl119])).
% 1.53/0.90 thf(zip_derived_cl127, plain,
% 1.53/0.90 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 1.53/0.90 X11 : $i]:
% 1.53/0.90 ( (ssPv19_2r1r1 @ X11 @ X10)
% 1.53/0.90 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.53/0.90 X4))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl120])).
% 1.53/0.90 thf(zip_derived_cl128, plain,
% 1.53/0.90 (![X5 : $i, X6 : $i]: (ssPv19_2r1r1 @ X6 @ X5)),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl127])).
% 1.53/0.90 thf(zip_derived_cl131, plain,
% 1.53/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.53/0.90 X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 1.53/0.90 X0 @ skc24 @ X9 @ X8 @ X7)
% 1.53/0.90 | (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl128])).
% 1.53/0.90 thf(zip_derived_cl92, plain,
% 1.53/0.90 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.53/0.90 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.53/0.90 X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 1.53/0.90 | ~ (ssPv19_2r1r1 @ X12 @ X11))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl91])).
% 1.53/0.90 thf(zip_derived_cl128, plain,
% 1.53/0.90 (![X5 : $i, X6 : $i]: (ssPv19_2r1r1 @ X6 @ X5)),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl127])).
% 1.53/0.90 thf(zip_derived_cl132, plain,
% 1.53/0.90 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.53/0.90 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.53/0.90 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.53/0.90 X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6))),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl128])).
% 1.53/0.90 thf(zip_derived_cl133, plain,
% 1.53/0.90 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i]:
% 1.53/0.90 ( (ssPv16_5r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5)
% 1.53/0.90 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl132])).
% 1.53/0.90 thf(zip_derived_cl134, plain,
% 1.53/0.90 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.53/0.90 (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)),
% 1.53/0.90 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl133])).
% 1.53/0.90 thf(zip_derived_cl135, plain, ($false),
% 1.53/0.90 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl134])).
% 1.53/0.90
% 1.53/0.90 % SZS output end Refutation
% 1.53/0.90
% 1.53/0.90
% 1.53/0.90 % Terminating...
% 1.95/300.22 Alarm clock
% 1.95/300.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------