%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN845-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wGZ2ssrSVV true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:05:48 PM UTC 2025
% Result : Unsatisfiable 9.37s 1.94s
% Output : Refutation 9.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN845-1 : TPTP v9.2.0. Released v2.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wGZ2ssrSVV true
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:42:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.37/1.94 % Solved by fo/fo7.sh.
% 9.37/1.94 % done 759 iterations in 1.118s
% 9.37/1.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.37/1.94 % SZS output start Refutation
% 9.37/1.94 thf(ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 9.37/1.94 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv14_8r1r1r1r1r1r1r1r1_type, type, ssPv14_8r1r1r1r1r1r1r1r1: $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i > $o).
% 9.37/1.94 thf(skc24_type, type, skc24: $i).
% 9.37/1.94 thf(skc30_type, type, skc30: $i).
% 9.37/1.94 thf(ssPv17_8r1r1r1r1r1r1r1r1_type, type, ssPv17_8r1r1r1r1r1r1r1r1: $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i > $o).
% 9.37/1.94 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i > $o).
% 9.37/1.94 thf(skc25_type, type, skc25: $i).
% 9.37/1.94 thf(ssPv17_4r1r1r1r1_type, type, ssPv17_4r1r1r1r1: $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 9.37/1.94 $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv13_9r1r1r1r1r1r1r1r1r1_type, type, ssPv13_9r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(skc28_type, type, skc28: $i).
% 9.37/1.94 thf(skc19_type, type, skc19: $i).
% 9.37/1.94 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 9.37/1.94 $i > $o).
% 9.37/1.94 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 9.37/1.94 $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv15_9r1r1r1r1r1r1r1r1r1_type, type, ssPv15_9r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv18_8r1r1r1r1r1r1r1r1_type, type, ssPv18_8r1r1r1r1r1r1r1r1: $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i > $o).
% 9.37/1.94 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 9.37/1.94 $i > $i >
% 9.37/1.94 $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 9.37/1.94 thf(ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 9.37/1.94 thf(skc22_type, type, skc22: $i).
% 9.37/1.94 thf(skc27_type, type, skc27: $i).
% 9.37/1.94 thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ssPv12_9r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv18_9r1r1r1r1r1r1r1r1r1_type, type, ssPv18_9r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 9.37/1.94 thf(ssPv18_3r1r1r1_type, type, ssPv18_3r1r1r1: $i > $i > $i > $o).
% 9.37/1.94 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 9.37/1.94 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 9.37/1.94 thf(clause32, conjecture,
% 9.37/1.94 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 9.37/1.94 thf(zf_stmt_0, negated_conjecture,
% 9.37/1.94 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause32])).
% 9.37/1.94 thf(zip_derived_cl544, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.37/1.94 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 9.37/1.94 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause1])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 9.37/1.94 thf(zf_stmt_2, negated_conjecture,
% 9.37/1.94 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause2])).
% 9.37/1.94 thf(zip_derived_cl574, plain,
% 9.37/1.94 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(clause3, conjecture,
% 9.37/1.94 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) ))).
% 9.37/1.94 thf(zf_stmt_3, negated_conjecture,
% 9.37/1.94 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause3])).
% 9.37/1.94 thf(zip_derived_cl573, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]:
% 9.37/1.94 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(clause10, conjecture,
% 9.37/1.94 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 9.37/1.94 thf(zf_stmt_4, negated_conjecture,
% 9.37/1.94 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause10])).
% 9.37/1.94 thf(zip_derived_cl566, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.37/1.94 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(clause18, conjecture,
% 9.37/1.94 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 9.37/1.94 thf(zf_stmt_5, negated_conjecture,
% 9.37/1.94 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause18])).
% 9.37/1.94 thf(zip_derived_cl558, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl637, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl544, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(clause329, conjecture,
% 9.37/1.94 (~( ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 9.37/1.94 thf(zf_stmt_6, negated_conjecture,
% 9.37/1.94 (( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause329])).
% 9.37/1.94 thf(zip_derived_cl247, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.94 X14 : $i]:
% 9.37/1.94 ( (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(clause31, conjecture,
% 9.37/1.94 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 9.37/1.94 thf(zf_stmt_7, negated_conjecture,
% 9.37/1.94 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause31])).
% 9.37/1.94 thf(zip_derived_cl545, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(clause49, conjecture,
% 9.37/1.94 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 9.37/1.94 thf(zf_stmt_8, negated_conjecture,
% 9.37/1.94 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause49])).
% 9.37/1.94 thf(zip_derived_cl527, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(clause73, conjecture,
% 9.37/1.94 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 9.37/1.94 thf(zf_stmt_9, negated_conjecture,
% 9.37/1.94 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause73])).
% 9.37/1.94 thf(zip_derived_cl503, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(clause100, conjecture,
% 9.37/1.94 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 9.37/1.94 thf(zf_stmt_10, negated_conjecture,
% 9.37/1.94 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause100])).
% 9.37/1.94 thf(zip_derived_cl476, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(clause127, conjecture,
% 9.37/1.94 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.94 thf(zf_stmt_11, negated_conjecture,
% 9.37/1.94 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause127])).
% 9.37/1.94 thf(zip_derived_cl449, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(clause155, conjecture,
% 9.37/1.94 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 9.37/1.94 thf(zf_stmt_12, negated_conjecture,
% 9.37/1.94 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause155])).
% 9.37/1.94 thf(zip_derived_cl421, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_12])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(clause185, conjecture,
% 9.37/1.94 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 9.37/1.94 thf(zf_stmt_13, negated_conjecture,
% 9.37/1.94 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause185])).
% 9.37/1.94 thf(zip_derived_cl391, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_13])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(clause217, conjecture,
% 9.37/1.94 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 9.37/1.94 thf(zf_stmt_14, negated_conjecture,
% 9.37/1.94 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause217])).
% 9.37/1.94 thf(zip_derived_cl359, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_14])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(clause247, conjecture,
% 9.37/1.94 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 9.37/1.94 thf(zf_stmt_15, negated_conjecture,
% 9.37/1.94 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause247])).
% 9.37/1.94 thf(zip_derived_cl329, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_15])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1023, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl329, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(clause280, conjecture,
% 9.37/1.94 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 9.37/1.94 thf(zf_stmt_16, negated_conjecture,
% 9.37/1.94 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause280])).
% 9.37/1.94 thf(zip_derived_cl296, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.94 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_16])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1023, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl329, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(zip_derived_cl1097, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl296, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023])).
% 9.37/1.94 thf(zip_derived_cl1200, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.94 X14 : $i]:
% 9.37/1.94 ( (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl247, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023,
% 9.37/1.94 zip_derived_cl1097])).
% 9.37/1.94 thf(clause422, conjecture,
% 9.37/1.94 (~( ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.94 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 9.37/1.94 ( ~( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 9.37/1.94 ( ~( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 9.37/1.94 thf(zf_stmt_17, negated_conjecture,
% 9.37/1.94 (( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.94 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 9.37/1.94 ( ~( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 9.37/1.94 ( ~( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause422])).
% 9.37/1.94 thf(zip_derived_cl154, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.94 X14 : $i]:
% 9.37/1.94 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.94 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 9.37/1.94 | ~ (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.94 | ~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_17])).
% 9.37/1.94 thf(clause323, conjecture,
% 9.37/1.94 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 9.37/1.94 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 9.37/1.94 thf(zf_stmt_18, negated_conjecture,
% 9.37/1.94 (( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 9.37/1.94 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause323])).
% 9.37/1.94 thf(zip_derived_cl253, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.94 X14 : $i]:
% 9.37/1.94 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 9.37/1.94 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_18])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1023, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl329, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(zip_derived_cl1097, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl296, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023])).
% 9.37/1.94 thf(zip_derived_cl1132, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.94 X14 : $i]:
% 9.37/1.94 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl253, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023,
% 9.37/1.94 zip_derived_cl1097])).
% 9.37/1.94 thf(clause22, conjecture,
% 9.37/1.94 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 9.37/1.94 thf(zf_stmt_19, negated_conjecture,
% 9.37/1.94 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause22])).
% 9.37/1.94 thf(zip_derived_cl554, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_19])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl615, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl554, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl637, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl544, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(clause74, conjecture,
% 9.37/1.94 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 9.37/1.94 thf(zf_stmt_20, negated_conjecture,
% 9.37/1.94 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause74])).
% 9.37/1.94 thf(zip_derived_cl502, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_20])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl697, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl502, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(clause153, conjecture,
% 9.37/1.94 (~( ( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.94 thf(zf_stmt_21, negated_conjecture,
% 9.37/1.94 (( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause153])).
% 9.37/1.94 thf(zip_derived_cl423, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_21])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl820, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl423, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(clause149, conjecture,
% 9.37/1.94 (~( ( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.94 thf(zf_stmt_22, negated_conjecture,
% 9.37/1.94 (( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause149])).
% 9.37/1.94 thf(zip_derived_cl427, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_22])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl814, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl427, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(clause208, conjecture,
% 9.37/1.94 (~( ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 9.37/1.94 thf(zf_stmt_23, negated_conjecture,
% 9.37/1.94 (( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssPv15_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssPv13_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause208])).
% 9.37/1.94 thf(zip_derived_cl368, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_23])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl933, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl368, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(clause272, conjecture,
% 9.37/1.94 (~( ( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 9.37/1.94 thf(zf_stmt_24, negated_conjecture,
% 9.37/1.94 (( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause272])).
% 9.37/1.94 thf(zip_derived_cl304, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_24])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1073, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl304, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(clause344, conjecture,
% 9.37/1.94 (~( ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 9.37/1.94 thf(zf_stmt_25, negated_conjecture,
% 9.37/1.94 (( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause344])).
% 9.37/1.94 thf(zip_derived_cl232, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_25])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1206, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl232, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(clause258, conjecture,
% 9.37/1.94 (~( ( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 9.37/1.94 thf(zf_stmt_26, negated_conjecture,
% 9.37/1.94 (( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause258])).
% 9.37/1.94 thf(zip_derived_cl318, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_26])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1045, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl318, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(clause218, conjecture,
% 9.37/1.94 (~( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 9.37/1.94 thf(zf_stmt_27, negated_conjecture,
% 9.37/1.94 (( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause218])).
% 9.37/1.94 thf(zip_derived_cl358, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_27])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl988, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl358, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(clause254, conjecture,
% 9.37/1.94 (~( ( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 9.37/1.94 thf(zf_stmt_28, negated_conjecture,
% 9.37/1.94 (( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause254])).
% 9.37/1.94 thf(zip_derived_cl322, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_28])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1038, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl322, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(clause347, conjecture,
% 9.37/1.94 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 9.37/1.94 thf(zf_stmt_29, negated_conjecture,
% 9.37/1.94 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.94 ( ~( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.94 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause347])).
% 9.37/1.94 thf(zip_derived_cl229, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_29])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl717, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl229, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl737, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl717, zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl783, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl791, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9)
% 9.37/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl737, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl824, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8 @ X9)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.94 thf(zip_derived_cl831, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl791, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl912, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.94 thf(zip_derived_cl919, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.94 | ~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl831, zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl970, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl975, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl970])).
% 9.37/1.94 thf(zip_derived_cl1039, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 (~ (ssPv18_3r1r1r1 @ X12 @ X11 @ X10)
% 9.37/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 9.37/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 9.37/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 9.37/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl1038, zip_derived_cl975])).
% 9.37/1.94 thf(zip_derived_cl1047, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 9.37/1.94 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 9.37/1.94 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl988, zip_derived_cl1039])).
% 9.37/1.94 thf(zip_derived_cl1048, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (~ (ssPv16_5r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 9.37/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 9.37/1.94 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl1045, zip_derived_cl1047])).
% 9.37/1.94 thf(zip_derived_cl1208, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 9.37/1.94 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 9.37/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 9.37/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl1206, zip_derived_cl1048])).
% 9.37/1.94 thf(zip_derived_cl988, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl358, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912])).
% 9.37/1.94 thf(zip_derived_cl1209, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 9.37/1.94 X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 9.37/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl1208, zip_derived_cl988])).
% 9.37/1.94 thf(zip_derived_cl1045, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.94 ( (ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl318, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.94 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.94 thf(zip_derived_cl1210, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.94 (~ (ssPv16_5r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 9.37/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 9.37/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc22))),
% 9.37/1.94 inference('clc', [status(thm)], [zip_derived_cl1209, zip_derived_cl1045])).
% 9.37/1.94 thf(zip_derived_cl1211, plain,
% 9.37/1.94 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 9.37/1.94 X10 : $i, X11 : $i]:
% 9.37/1.94 (~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 9.37/1.94 X4 @ X3)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl1210])).
% 9.37/1.94 thf(zip_derived_cl1214, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 9.37/1.94 X1 @ X0)
% 9.37/1.94 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 9.37/1.94 X1 @ X0)
% 9.37/1.94 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 9.37/1.94 X1 @ X0)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl933, zip_derived_cl1211])).
% 9.37/1.94 thf(clause141, conjecture,
% 9.37/1.94 (~( ( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.94 thf(zf_stmt_30, negated_conjecture,
% 9.37/1.94 (( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 9.37/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.94 inference('cnf.neg', [status(esa)], [clause141])).
% 9.37/1.94 thf(zip_derived_cl435, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssNder1_0)
% 9.37/1.94 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7))),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_30])).
% 9.37/1.94 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.94 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.94 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.94 thf(zip_derived_cl582, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.94 thf(zip_derived_cl587, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582])).
% 9.37/1.94 thf(zip_derived_cl606, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.94 thf(zip_derived_cl625, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.94 thf(zip_derived_cl649, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625])).
% 9.37/1.94 thf(zip_derived_cl678, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.94 thf(zip_derived_cl729, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.94 thf(zip_derived_cl802, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.94 X7 @ X8)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 9.37/1.94 inference('demod', [status(thm)],
% 9.37/1.94 [zip_derived_cl435, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.94 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.94 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.94 zip_derived_cl729])).
% 9.37/1.94 thf(zip_derived_cl1220, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 9.37/1.94 | ~ (ssPv15_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 9.37/1.94 X1 @ X0)
% 9.37/1.94 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 9.37/1.94 X1 @ X0))),
% 9.37/1.94 inference('clc', [status(thm)], [zip_derived_cl1214, zip_derived_cl802])).
% 9.37/1.94 thf(zip_derived_cl1221, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.94 X7 : $i, X8 : $i]:
% 9.37/1.94 (~ (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 9.37/1.94 | ~ (ssPv13_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 9.37/1.94 X1 @ X0)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl814, zip_derived_cl1220])).
% 9.37/1.94 thf(zip_derived_cl1222, plain,
% 9.37/1.94 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 9.37/1.94 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4)
% 9.37/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl820, zip_derived_cl1221])).
% 9.37/1.94 thf(zip_derived_cl1223, plain,
% 9.37/1.94 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.94 (~ (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2)
% 9.37/1.94 | ~ (ssPv18_3r1r1r1 @ X6 @ X5 @ X4))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl697, zip_derived_cl1222])).
% 9.37/1.94 thf(zip_derived_cl1224, plain,
% 9.37/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.94 (~ (ssPv18_3r1r1r1 @ X4 @ X3 @ X2)
% 9.37/1.94 | ~ (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl1223])).
% 9.37/1.94 thf(zip_derived_cl1227, plain,
% 9.37/1.94 (![X1 : $i, X2 : $i, X3 : $i]: ~ (ssPv18_3r1r1r1 @ X3 @ X2 @ X1)),
% 9.37/1.94 inference('sup-', [status(thm)], [zip_derived_cl615, zip_derived_cl1224])).
% 9.37/1.94 thf(zip_derived_cl1242, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.95 X14 : $i]:
% 9.37/1.95 ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl1132, zip_derived_cl1227])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl729, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl783, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i]:
% 9.37/1.95 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729])).
% 9.37/1.95 thf(zip_derived_cl824, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.95 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8 @ X9)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.95 thf(zip_derived_cl912, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.95 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.95 thf(zip_derived_cl970, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.95 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912])).
% 9.37/1.95 thf(zip_derived_cl1023, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.95 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl329, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.95 thf(zip_derived_cl1097, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl296, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023])).
% 9.37/1.95 thf(clause325, conjecture,
% 9.37/1.95 (~( ( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.95 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.95 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.95 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.95 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.95 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.95 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.95 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 9.37/1.95 thf(zf_stmt_31, negated_conjecture,
% 9.37/1.95 (( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 9.37/1.95 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.95 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.95 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.95 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.95 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.95 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.95 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause325])).
% 9.37/1.95 thf(zip_derived_cl251, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.95 X14 : $i]:
% 9.37/1.95 ( (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.95 | ~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7)
% 9.37/1.95 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8)
% 9.37/1.95 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9)
% 9.37/1.95 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.95 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_31])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl729, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl783, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i]:
% 9.37/1.95 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729])).
% 9.37/1.95 thf(zip_derived_cl824, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.95 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8 @ X9)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.95 thf(zip_derived_cl912, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.95 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.95 thf(zip_derived_cl970, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.95 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912])).
% 9.37/1.95 thf(zip_derived_cl1023, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.95 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl329, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.95 thf(zip_derived_cl1097, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl296, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023])).
% 9.37/1.95 thf(zip_derived_cl1188, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.95 X14 : $i]:
% 9.37/1.95 ( (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.95 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl251, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912, zip_derived_cl970, zip_derived_cl1023,
% 9.37/1.95 zip_derived_cl1097])).
% 9.37/1.95 thf(clause160, conjecture,
% 9.37/1.95 (~( ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 9.37/1.95 thf(zf_stmt_32, negated_conjecture,
% 9.37/1.95 (( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 9.37/1.95 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause160])).
% 9.37/1.95 thf(zip_derived_cl416, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | ~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_32])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl900, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl416, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(clause126, conjecture,
% 9.37/1.95 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 9.37/1.95 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.95 thf(zf_stmt_33, negated_conjecture,
% 9.37/1.95 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 9.37/1.95 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssPv14_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause126])).
% 9.37/1.95 thf(zip_derived_cl450, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_33])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl765, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssPv14_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl450, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl901, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv17_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl900, zip_derived_cl765])).
% 9.37/1.95 thf(clause119, conjecture,
% 9.37/1.95 (~( ( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.95 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.95 thf(zf_stmt_34, negated_conjecture,
% 9.37/1.95 (( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.95 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssPv17_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause119])).
% 9.37/1.95 thf(zip_derived_cl457, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_34])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl740, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssPv17_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl457, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl902, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 9.37/1.95 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv17_4r1r1r1r1 @ X7 @ X6 @ X5 @ X4))),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl901, zip_derived_cl740])).
% 9.37/1.95 thf(clause115, conjecture,
% 9.37/1.95 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.95 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 9.37/1.95 thf(zf_stmt_35, negated_conjecture,
% 9.37/1.95 (( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 9.37/1.95 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause115])).
% 9.37/1.95 thf(zip_derived_cl461, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_35])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl725, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl461, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl903, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 ( (ssPv17_4r1r1r1r1 @ X7 @ X6 @ X5 @ X4)
% 9.37/1.95 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 9.37/1.95 | (ssPv18_3r1r1r1 @ X7 @ X6 @ X5))),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl902, zip_derived_cl725])).
% 9.37/1.95 thf(clause77, conjecture,
% 9.37/1.95 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) ) ))).
% 9.37/1.95 thf(zf_stmt_36, negated_conjecture,
% 9.37/1.95 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause77])).
% 9.37/1.95 thf(zip_derived_cl499, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 skc25))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_36])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl627, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 skc25))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl499, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl650, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl627, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl906, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 ( (ssPv18_3r1r1r1 @ X6 @ X5 @ X4)
% 9.37/1.95 | (ssPv14_7r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 9.37/1.95 | (ssPv17_4r1r1r1r1 @ X6 @ X5 @ X4 @ X3))),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl903, zip_derived_cl650])).
% 9.37/1.95 thf(clause59, conjecture,
% 9.37/1.95 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 9.37/1.95 thf(zf_stmt_37, negated_conjecture,
% 9.37/1.95 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause59])).
% 9.37/1.95 thf(zip_derived_cl517, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_37])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl604, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl517, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl608, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl604, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl626, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl608, zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl908, plain,
% 9.37/1.95 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 ( (ssPv17_4r1r1r1r1 @ X5 @ X4 @ X3 @ X2)
% 9.37/1.95 | (ssPv18_3r1r1r1 @ X5 @ X4 @ X3))),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl906, zip_derived_cl626])).
% 9.37/1.95 thf(zip_derived_cl1227, plain,
% 9.37/1.95 (![X1 : $i, X2 : $i, X3 : $i]: ~ (ssPv18_3r1r1r1 @ X3 @ X2 @ X1)),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl615, zip_derived_cl1224])).
% 9.37/1.95 thf(zip_derived_cl1237, plain,
% 9.37/1.95 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssPv17_4r1r1r1r1 @ X5 @ X4 @ X3 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl908, zip_derived_cl1227])).
% 9.37/1.95 thf(zip_derived_cl1258, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.95 X14 : $i]:
% 9.37/1.95 (ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl1188, zip_derived_cl1237])).
% 9.37/1.95 thf(zip_derived_cl1561, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.95 X14 : $i]:
% 9.37/1.95 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 9.37/1.95 | ~ (ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl154, zip_derived_cl1242, zip_derived_cl575,
% 9.37/1.95 zip_derived_cl581, zip_derived_cl582, zip_derived_cl587,
% 9.37/1.95 zip_derived_cl606, zip_derived_cl625, zip_derived_cl649,
% 9.37/1.95 zip_derived_cl678, zip_derived_cl729, zip_derived_cl783,
% 9.37/1.95 zip_derived_cl824, zip_derived_cl912, zip_derived_cl970,
% 9.37/1.95 zip_derived_cl1023, zip_derived_cl1097, zip_derived_cl1258])).
% 9.37/1.95 thf(zip_derived_cl1562, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 9.37/1.95 X14 : $i]:
% 9.37/1.95 (~ (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 9.37/1.95 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 9.37/1.95 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl1200, zip_derived_cl1561])).
% 9.37/1.95 thf(clause282, conjecture,
% 9.37/1.95 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 9.37/1.95 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.95 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.95 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.95 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.95 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.95 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.95 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 9.37/1.95 skc19 ) ) ))).
% 9.37/1.95 thf(zf_stmt_38, negated_conjecture,
% 9.37/1.95 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 9.37/1.95 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 9.37/1.95 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 9.37/1.95 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 9.37/1.95 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 9.37/1.95 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 9.37/1.95 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 9.37/1.95 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 9.37/1.95 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 9.37/1.95 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 9.37/1.95 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 9.37/1.95 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 9.37/1.95 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 9.37/1.95 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 9.37/1.95 inference('cnf.neg', [status(esa)], [clause282])).
% 9.37/1.95 thf(zip_derived_cl294, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_0)
% 9.37/1.95 | ~ (ssNder1_1r1 @ X0)
% 9.37/1.95 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 9.37/1.95 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 9.37/1.95 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 9.37/1.95 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 9.37/1.95 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 9.37/1.95 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 9.37/1.95 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7)
% 9.37/1.95 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8)
% 9.37/1.95 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9)
% 9.37/1.95 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.95 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_38])).
% 9.37/1.95 thf(zip_derived_cl575, plain, ( (ssNder1_0)),
% 9.37/1.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.37/1.95 thf(zip_derived_cl581, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl575])).
% 9.37/1.95 thf(zip_derived_cl582, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl573, zip_derived_cl575, zip_derived_cl581])).
% 9.37/1.95 thf(zip_derived_cl587, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl566, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582])).
% 9.37/1.95 thf(zip_derived_cl606, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.37/1.95 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl558, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587])).
% 9.37/1.95 thf(zip_derived_cl625, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.37/1.95 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl545, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606])).
% 9.37/1.95 thf(zip_derived_cl649, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.37/1.95 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl527, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625])).
% 9.37/1.95 thf(zip_derived_cl678, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.37/1.95 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl503, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649])).
% 9.37/1.95 thf(zip_derived_cl686, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 9.37/1.95 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8)
% 9.37/1.95 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9)
% 9.37/1.95 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.95 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl294, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl729, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.37/1.95 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl476, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678])).
% 9.37/1.95 thf(zip_derived_cl733, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8)
% 9.37/1.95 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9)
% 9.37/1.95 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.95 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl686, zip_derived_cl729])).
% 9.37/1.95 thf(zip_derived_cl783, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i]:
% 9.37/1.95 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl449, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729])).
% 9.37/1.95 thf(zip_derived_cl787, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9)
% 9.37/1.95 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.95 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl733, zip_derived_cl783])).
% 9.37/1.95 thf(zip_derived_cl824, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i]:
% 9.37/1.95 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 9.37/1.95 X7 @ X8 @ X9)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl421, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783])).
% 9.37/1.95 thf(zip_derived_cl827, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10)
% 9.37/1.95 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl787, zip_derived_cl824])).
% 9.37/1.95 thf(zip_derived_cl912, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 9.37/1.95 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl391, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824])).
% 9.37/1.95 thf(zip_derived_cl915, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 9.37/1.95 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl827, zip_derived_cl912])).
% 9.37/1.95 thf(zip_derived_cl970, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 9.37/1.95 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 9.37/1.95 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl359, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912])).
% 9.37/1.95 thf(zip_derived_cl972, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 9.37/1.95 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 9.37/1.95 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl915, zip_derived_cl970])).
% 9.37/1.95 thf(zip_derived_cl1023, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 9.37/1.95 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 9.37/1.95 inference('demod', [status(thm)],
% 9.37/1.95 [zip_derived_cl329, zip_derived_cl575, zip_derived_cl581,
% 9.37/1.95 zip_derived_cl582, zip_derived_cl587, zip_derived_cl606,
% 9.37/1.95 zip_derived_cl625, zip_derived_cl649, zip_derived_cl678,
% 9.37/1.95 zip_derived_cl729, zip_derived_cl783, zip_derived_cl824,
% 9.37/1.95 zip_derived_cl912, zip_derived_cl970])).
% 9.37/1.95 thf(zip_derived_cl1024, plain,
% 9.37/1.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.37/1.95 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 9.37/1.95 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 9.37/1.95 inference('demod', [status(thm)], [zip_derived_cl972, zip_derived_cl1023])).
% 9.37/1.95 thf(zip_derived_cl1563, plain,
% 9.37/1.95 (![X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 9.37/1.95 ~ (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl1562, zip_derived_cl1024])).
% 9.37/1.95 thf(zip_derived_cl1597, plain, ($false),
% 9.37/1.95 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl1563])).
% 9.37/1.95
% 9.37/1.95 % SZS output end Refutation
% 9.37/1.95
% 9.37/1.95
% 9.37/1.95 % Terminating...
% 9.37/1.95 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 9.85/2.10 % Runner terminated.
% 9.85/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------