TSTP Solution File: SYN836-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN836-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O82zmhtsV6 true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:05:40 EDT 2023
% Result : Unsatisfiable 8.95s 1.93s
% Output : Refutation 8.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN836-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O82zmhtsV6 true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:23:23 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.73/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.73/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.73/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.95/1.93 % Solved by fo/fo7.sh.
% 8.95/1.93 % done 680 iterations in 1.070s
% 8.95/1.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.95/1.93 % SZS output start Refutation
% 8.95/1.93 thf(ssPv15_8r1r1r1r1r1r1r1r1_type, type, ssPv15_8r1r1r1r1r1r1r1r1: $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 8.95/1.93 thf(skc24_type, type, skc24: $i).
% 8.95/1.93 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i > $i > $o).
% 8.95/1.93 thf(skc19_type, type, skc19: $i).
% 8.95/1.93 thf(ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 8.95/1.93 $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv18_3r1r1r1_type, type, ssPv18_3r1r1r1: $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv18_8r1r1r1r1r1r1r1r1_type, type, ssPv18_8r1r1r1r1r1r1r1r1: $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(skc26_type, type, skc26: $i).
% 8.95/1.93 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(skc25_type, type, skc25: $i).
% 8.95/1.93 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 8.95/1.93 $i > $o).
% 8.95/1.93 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 8.95/1.93 $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 8.95/1.93 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(skc23_type, type, skc23: $i).
% 8.95/1.93 thf(ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(skc29_type, type, skc29: $i).
% 8.95/1.93 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 8.95/1.93 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(skc28_type, type, skc28: $i).
% 8.95/1.93 thf(ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 8.95/1.93 thf(skc16_type, type, skc16: $i).
% 8.95/1.93 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 8.95/1.93 thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ssPv12_9r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(ssPv20_8r1r1r1r1r1r1r1r1_type, type, ssPv20_8r1r1r1r1r1r1r1r1: $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i >
% 8.95/1.93 $i > $i > $o).
% 8.95/1.93 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 8.95/1.93 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 8.95/1.93 thf(clause41, conjecture,
% 8.95/1.93 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 8.95/1.93 thf(zf_stmt_0, negated_conjecture,
% 8.95/1.93 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause41])).
% 8.95/1.93 thf(zip_derived_cl495, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.95/1.93 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 8.95/1.93 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause1])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl538, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl495, zip_derived_cl535])).
% 8.95/1.93 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 8.95/1.93 thf(zf_stmt_2, negated_conjecture,
% 8.95/1.93 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause2])).
% 8.95/1.93 thf(zip_derived_cl534, plain,
% 8.95/1.93 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(clause3, conjecture,
% 8.95/1.93 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) ))).
% 8.95/1.93 thf(zf_stmt_3, negated_conjecture,
% 8.95/1.93 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause3])).
% 8.95/1.93 thf(zip_derived_cl533, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]:
% 8.95/1.93 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(clause12, conjecture,
% 8.95/1.93 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 8.95/1.93 thf(zf_stmt_4, negated_conjecture,
% 8.95/1.93 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause12])).
% 8.95/1.93 thf(zip_derived_cl524, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.95/1.93 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl560, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl538, zip_derived_cl541, zip_derived_cl542,
% 8.95/1.93 zip_derived_cl546])).
% 8.95/1.93 thf(clause20, conjecture,
% 8.95/1.93 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 8.95/1.93 thf(zf_stmt_5, negated_conjecture,
% 8.95/1.93 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause20])).
% 8.95/1.93 thf(zip_derived_cl516, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl566, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl560, zip_derived_cl565])).
% 8.95/1.93 thf(clause69, conjecture,
% 8.95/1.93 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 8.95/1.93 thf(zf_stmt_6, negated_conjecture,
% 8.95/1.93 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause69])).
% 8.95/1.93 thf(zip_derived_cl467, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(clause32, conjecture,
% 8.95/1.93 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 8.95/1.93 thf(zf_stmt_7, negated_conjecture,
% 8.95/1.93 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause32])).
% 8.95/1.93 thf(zip_derived_cl504, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(clause50, conjecture,
% 8.95/1.93 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 8.95/1.93 thf(zf_stmt_8, negated_conjecture,
% 8.95/1.93 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.93 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause50])).
% 8.95/1.93 thf(zip_derived_cl486, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl651, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl467, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(clause287, conjecture,
% 8.95/1.93 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.93 skc16 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.93 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 8.95/1.93 thf(zf_stmt_9, negated_conjecture,
% 8.95/1.93 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.93 skc16 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.93 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause287])).
% 8.95/1.93 thf(zip_derived_cl249, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.93 X14 : $i]:
% 8.95/1.93 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.93 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.93 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.93 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(clause68, conjecture,
% 8.95/1.93 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 8.95/1.93 thf(zf_stmt_10, negated_conjecture,
% 8.95/1.93 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause68])).
% 8.95/1.93 thf(zip_derived_cl468, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(clause88, conjecture,
% 8.95/1.93 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 8.95/1.93 thf(zf_stmt_11, negated_conjecture,
% 8.95/1.93 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause88])).
% 8.95/1.93 thf(zip_derived_cl448, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(clause108, conjecture,
% 8.95/1.93 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 8.95/1.93 thf(zf_stmt_12, negated_conjecture,
% 8.95/1.93 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause108])).
% 8.95/1.93 thf(zip_derived_cl428, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(clause136, conjecture,
% 8.95/1.93 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 8.95/1.93 thf(zf_stmt_13, negated_conjecture,
% 8.95/1.93 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause136])).
% 8.95/1.93 thf(zip_derived_cl400, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(zip_derived_cl762, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8 @ X9)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.93 thf(clause162, conjecture,
% 8.95/1.93 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 8.95/1.93 thf(zf_stmt_14, negated_conjecture,
% 8.95/1.93 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause162])).
% 8.95/1.93 thf(zip_derived_cl374, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.93 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(zip_derived_cl762, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8 @ X9)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.93 thf(zip_derived_cl819, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.93 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.93 thf(clause189, conjecture,
% 8.95/1.93 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 8.95/1.93 thf(zf_stmt_15, negated_conjecture,
% 8.95/1.93 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause189])).
% 8.95/1.93 thf(zip_derived_cl347, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.93 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(zip_derived_cl762, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8 @ X9)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.93 thf(zip_derived_cl819, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.93 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.93 thf(zip_derived_cl862, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.93 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819])).
% 8.95/1.93 thf(clause218, conjecture,
% 8.95/1.93 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 8.95/1.93 thf(zf_stmt_16, negated_conjecture,
% 8.95/1.93 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause218])).
% 8.95/1.93 thf(zip_derived_cl318, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.93 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.93 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(zip_derived_cl762, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8 @ X9)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.93 thf(zip_derived_cl819, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.93 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.93 thf(zip_derived_cl862, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.93 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819])).
% 8.95/1.93 thf(zip_derived_cl905, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.93 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.93 thf(clause248, conjecture,
% 8.95/1.93 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 8.95/1.93 thf(zf_stmt_17, negated_conjecture,
% 8.95/1.93 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause248])).
% 8.95/1.93 thf(zip_derived_cl288, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.93 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.93 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.93 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_17])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(zip_derived_cl762, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8 @ X9)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.93 thf(zip_derived_cl819, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.93 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.93 thf(zip_derived_cl862, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.93 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819])).
% 8.95/1.93 thf(zip_derived_cl905, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.93 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.93 thf(zip_derived_cl951, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.93 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.93 thf(zip_derived_cl1033, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.93 X14 : $i]:
% 8.95/1.93 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl249, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.93 zip_derived_cl951])).
% 8.95/1.93 thf(clause433, conjecture,
% 8.95/1.93 (~( ( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.93 X10 ) |
% 8.95/1.93 ( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.93 X10 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.93 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.93 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.93 ( ~( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 8.95/1.93 X9 @ X10 ) ) |
% 8.95/1.93 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 8.95/1.93 X9 @ X10 ) ) ))).
% 8.95/1.93 thf(zf_stmt_18, negated_conjecture,
% 8.95/1.93 (( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 8.95/1.93 ( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.93 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.93 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.93 ( ~( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.93 X10 ) ) |
% 8.95/1.93 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.93 X10 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause433])).
% 8.95/1.93 thf(zip_derived_cl103, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.93 X14 : $i, X15 : $i]:
% 8.95/1.93 ( (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.93 | (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.93 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.93 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.93 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.93 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.93 | ~ (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.93 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_18])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542])).
% 8.95/1.93 thf(zip_derived_cl565, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.93 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.93 thf(zip_derived_cl580, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.93 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.93 thf(zip_derived_cl617, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.93 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580])).
% 8.95/1.93 thf(zip_derived_cl643, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.93 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.93 thf(zip_derived_cl688, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.93 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.93 thf(zip_derived_cl720, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i]:
% 8.95/1.93 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688])).
% 8.95/1.93 thf(zip_derived_cl762, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.93 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7 @ X8 @ X9)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.93 thf(zip_derived_cl819, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.93 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.93 thf(zip_derived_cl862, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.93 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819])).
% 8.95/1.93 thf(zip_derived_cl905, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.93 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.93 thf(zip_derived_cl951, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.93 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.93 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.93 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.93 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.93 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.93 thf(clause286, conjecture,
% 8.95/1.93 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.93 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.93 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 8.95/1.93 thf(zf_stmt_19, negated_conjecture,
% 8.95/1.93 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.93 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.93 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.93 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.93 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.93 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.93 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.93 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.93 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.93 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.93 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.93 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.93 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.93 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.93 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 8.95/1.93 inference('cnf.neg', [status(esa)], [clause286])).
% 8.95/1.93 thf(zip_derived_cl250, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.93 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.93 X14 : $i]:
% 8.95/1.93 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.93 | ~ (ssNder1_0)
% 8.95/1.93 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.93 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.93 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.93 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.93 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.93 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.93 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.93 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.93 X7)
% 8.95/1.93 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8)
% 8.95/1.93 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.93 X6 @ X7 @ X8 @ X9)
% 8.95/1.93 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.93 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.93 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.93 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.93 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.93 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_19])).
% 8.95/1.93 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.93 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.93 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.93 thf(zip_derived_cl542, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.93 thf(zip_derived_cl546, plain,
% 8.95/1.93 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.93 inference('demod', [status(thm)],
% 8.95/1.93 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1034, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl250, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(clause332, conjecture,
% 8.95/1.94 (~( ( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.94 X10 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 8.95/1.94 thf(zf_stmt_20, negated_conjecture,
% 8.95/1.94 (( ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause332])).
% 8.95/1.94 thf(zip_derived_cl204, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.94 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_20])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1034, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl250, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(zip_derived_cl1169, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl204, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951, zip_derived_cl1034])).
% 8.95/1.94 thf(clause53, conjecture,
% 8.95/1.94 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 8.95/1.94 thf(zf_stmt_21, negated_conjecture,
% 8.95/1.94 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause53])).
% 8.95/1.94 thf(zip_derived_cl483, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_21])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl616, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl483, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl651, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl467, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(clause221, conjecture,
% 8.95/1.94 (~( ( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 8.95/1.94 thf(zf_stmt_22, negated_conjecture,
% 8.95/1.94 (( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause221])).
% 8.95/1.94 thf(zip_derived_cl315, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssPv20_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_22])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl913, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv20_1r1 @ X0))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl315, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(clause238, conjecture,
% 8.95/1.94 (~( ( ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 8.95/1.94 thf(zf_stmt_23, negated_conjecture,
% 8.95/1.94 (( ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause238])).
% 8.95/1.94 thf(zip_derived_cl298, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_23])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl933, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl298, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(clause312, conjecture,
% 8.95/1.94 (~( ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 8.95/1.94 thf(zf_stmt_24, negated_conjecture,
% 8.95/1.94 (( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause312])).
% 8.95/1.94 thf(zip_derived_cl224, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_24])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl1112, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl224, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(clause247, conjecture,
% 8.95/1.94 (~( ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 8.95/1.94 thf(zf_stmt_25, negated_conjecture,
% 8.95/1.94 (( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause247])).
% 8.95/1.94 thf(zip_derived_cl289, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_25])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl946, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl289, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl1113, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (~ (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1112, zip_derived_cl946])).
% 8.95/1.94 thf(zip_derived_cl1114, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 8.95/1.94 X5)
% 8.95/1.94 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl933, zip_derived_cl1113])).
% 8.95/1.94 thf(zip_derived_cl1115, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (~ (ssPv20_1r1 @ X12)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 8.95/1.94 X6 @ X5))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl913, zip_derived_cl1114])).
% 8.95/1.94 thf(zip_derived_cl1116, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 8.95/1.94 X0 @ skc24 @ X10 @ X9 @ X8 @ X7)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 8.95/1.94 X1 @ X0 @ skc24 @ X10 @ X9 @ X8 @ X7 @ X11)
% 8.95/1.94 | ~ (ssPv20_1r1 @ X6))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl651, zip_derived_cl1115])).
% 8.95/1.94 thf(clause320, conjecture,
% 8.95/1.94 (~( ( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 8.95/1.94 thf(zf_stmt_26, negated_conjecture,
% 8.95/1.94 (( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause320])).
% 8.95/1.94 thf(zip_derived_cl216, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_26])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1090, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl216, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(clause301, conjecture,
% 8.95/1.94 (~( ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 8.95/1.94 thf(zf_stmt_27, negated_conjecture,
% 8.95/1.94 (( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause301])).
% 8.95/1.94 thf(zip_derived_cl235, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_27])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1062, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl235, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(clause391, conjecture,
% 8.95/1.94 (~( ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.94 ( ~( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 8.95/1.94 thf(zf_stmt_28, negated_conjecture,
% 8.95/1.94 (( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.94 ( ~( ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause391])).
% 8.95/1.94 thf(zip_derived_cl145, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.94 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_28])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1332, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl145, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(zip_derived_cl1333, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 8.95/1.94 | ~ (ssPv9_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 8.95/1.94 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 8.95/1.94 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 8.95/1.94 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1062, zip_derived_cl1332])).
% 8.95/1.94 thf(zip_derived_cl1334, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 8.95/1.94 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 8.95/1.94 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 8.95/1.94 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 8.95/1.94 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1090, zip_derived_cl1333])).
% 8.95/1.94 thf(clause294, conjecture,
% 8.95/1.94 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 8.95/1.94 thf(zf_stmt_29, negated_conjecture,
% 8.95/1.94 (( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause294])).
% 8.95/1.94 thf(zip_derived_cl242, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.94 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_29])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1017, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl242, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(zip_derived_cl1335, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 8.95/1.94 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 8.95/1.94 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 8.95/1.94 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 8.95/1.94 | (ssPv18_3r1r1r1 @ X14 @ X13 @ X12))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1334, zip_derived_cl1017])).
% 8.95/1.94 thf(clause250, conjecture,
% 8.95/1.94 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 8.95/1.94 skc19 ) ) ))).
% 8.95/1.94 thf(zf_stmt_30, negated_conjecture,
% 8.95/1.94 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause250])).
% 8.95/1.94 thf(zip_derived_cl286, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_30])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl593, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl286, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl623, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl593, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl652, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl623, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl691, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl652, zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl723, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl691, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl765, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl723, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl822, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl864, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl822, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl906, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl864, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1336, plain,
% 8.95/1.94 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 8.95/1.94 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X13 @ X12 @ X11)
% 8.95/1.94 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 8.95/1.94 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1335, zip_derived_cl906])).
% 8.95/1.94 thf(zip_derived_cl1342, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssPv20_1r1 @ X10)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 8.95/1.94 X5 @ X4 @ skc24 @ X3 @ X2 @ X1 @ X0 @ X11)
% 8.95/1.94 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 8.95/1.94 | (ssPv18_3r1r1r1 @ X10 @ X9 @ X8))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1116, zip_derived_cl1336])).
% 8.95/1.94 thf(clause38, conjecture,
% 8.95/1.94 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 8.95/1.94 thf(zf_stmt_31, negated_conjecture,
% 8.95/1.94 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause38])).
% 8.95/1.94 thf(zip_derived_cl498, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_31])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl600, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl498, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(clause105, conjecture,
% 8.95/1.94 (~( ( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 8.95/1.94 thf(zf_stmt_32, negated_conjecture,
% 8.95/1.94 (( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause105])).
% 8.95/1.94 thf(zip_derived_cl431, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_32])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl714, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl431, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(clause143, conjecture,
% 8.95/1.94 (~( ( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 8.95/1.94 thf(zf_stmt_33, negated_conjecture,
% 8.95/1.94 (( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause143])).
% 8.95/1.94 thf(zip_derived_cl393, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_33])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl775, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl393, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl776, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl775])).
% 8.95/1.94 thf(clause99, conjecture,
% 8.95/1.94 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 8.95/1.94 thf(zf_stmt_34, negated_conjecture,
% 8.95/1.94 (( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause99])).
% 8.95/1.94 thf(zip_derived_cl437, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_34])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl687, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl437, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl777, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 8.95/1.94 | (ssPv18_3r1r1r1 @ X7 @ X6 @ X5))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl776, zip_derived_cl687])).
% 8.95/1.94 thf(clause89, conjecture,
% 8.95/1.94 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 8.95/1.94 thf(zf_stmt_35, negated_conjecture,
% 8.95/1.94 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause89])).
% 8.95/1.94 thf(zip_derived_cl447, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_35])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl669, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_1r1 @ X0)
% 8.95/1.94 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl447, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl779, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X7 @ X6 @ X5)
% 8.95/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv20_1r1 @ X7))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl777, zip_derived_cl669])).
% 8.95/1.94 thf(clause71, conjecture,
% 8.95/1.94 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) ) ))).
% 8.95/1.94 thf(zf_stmt_36, negated_conjecture,
% 8.95/1.94 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause71])).
% 8.95/1.94 thf(zip_derived_cl465, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 skc25))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_36])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl536, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 skc25))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl465, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl562, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 skc25))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl536, zip_derived_cl541, zip_derived_cl542,
% 8.95/1.94 zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl568, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 skc25))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl562, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl584, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 skc25))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl568, zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl618, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl584, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl780, plain,
% 8.95/1.94 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 ( (ssPv20_1r1 @ X6)
% 8.95/1.94 | ~ (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 8.95/1.94 | (ssPv18_3r1r1r1 @ X6 @ X5 @ X4))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl779, zip_derived_cl618])).
% 8.95/1.94 thf(zip_derived_cl781, plain,
% 8.95/1.94 (![X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X4 @ X3 @ X2) | (ssPv20_1r1 @ X4))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl600, zip_derived_cl780])).
% 8.95/1.94 thf(zip_derived_cl1344, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 ( (ssPv18_3r1r1r1 @ X10 @ X9 @ X8)
% 8.95/1.94 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 8.95/1.94 X5 @ X4 @ skc24 @ X3 @ X2 @ X1 @ X0 @ X11))),
% 8.95/1.94 inference('clc', [status(thm)], [zip_derived_cl1342, zip_derived_cl781])).
% 8.95/1.94 thf(clause191, conjecture,
% 8.95/1.94 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) ) ))).
% 8.95/1.94 thf(zf_stmt_37, negated_conjecture,
% 8.95/1.94 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause191])).
% 8.95/1.94 thf(zip_derived_cl345, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_37])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl591, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl345, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl621, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl591, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl645, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl621, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl689, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl645, zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl721, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl763, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl721, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl820, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl763, zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl1346, plain,
% 8.95/1.94 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (~ (ssPv14_7r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 8.95/1.94 | (ssPv18_3r1r1r1 @ X10 @ X9 @ X8))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1344, zip_derived_cl820])).
% 8.95/1.94 thf(zip_derived_cl1350, plain,
% 8.95/1.94 (![X3 : $i, X4 : $i, X5 : $i]: (ssPv18_3r1r1r1 @ X5 @ X4 @ X3)),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl1346])).
% 8.95/1.94 thf(zip_derived_cl1372, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 (ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl1169, zip_derived_cl1350])).
% 8.95/1.94 thf(zip_derived_cl1467, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.94 | (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 8.95/1.94 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl103, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951, zip_derived_cl1034, zip_derived_cl1372])).
% 8.95/1.94 thf(clause346, conjecture,
% 8.95/1.94 (~( ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.94 ( ~( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 8.95/1.94 X9 @ X10 ) ) ))).
% 8.95/1.94 thf(zf_stmt_38, negated_conjecture,
% 8.95/1.94 (( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.94 ( ~( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.94 X10 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause346])).
% 8.95/1.94 thf(zip_derived_cl190, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.94 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_38])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1034, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl250, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(zip_derived_cl1166, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)
% 8.95/1.94 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl190, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951, zip_derived_cl1034])).
% 8.95/1.94 thf(zip_derived_cl1468, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 (~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 8.95/1.94 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 8.95/1.94 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 8.95/1.94 X9 @ X8 @ X7))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1467, zip_derived_cl1166])).
% 8.95/1.94 thf(clause338, conjecture,
% 8.95/1.94 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.94 ( ~( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 8.95/1.94 X9 @ X10 ) ) ))).
% 8.95/1.94 thf(zf_stmt_39, negated_conjecture,
% 8.95/1.94 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 8.95/1.94 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 8.95/1.94 ( ~( ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 8.95/1.94 X10 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause338])).
% 8.95/1.94 thf(zip_derived_cl198, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 8.95/1.94 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 8.95/1.94 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_39])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl905, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl318, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl951, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 8.95/1.94 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl288, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905])).
% 8.95/1.94 thf(zip_derived_cl1034, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i]:
% 8.95/1.94 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl250, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951])).
% 8.95/1.94 thf(zip_derived_cl1096, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv15_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 8.95/1.94 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl198, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862, zip_derived_cl905,
% 8.95/1.94 zip_derived_cl951, zip_derived_cl1034])).
% 8.95/1.94 thf(zip_derived_cl1469, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 8.95/1.94 X14 : $i, X15 : $i]:
% 8.95/1.94 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 8.95/1.94 X9 @ X8 @ X7)
% 8.95/1.94 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 8.95/1.94 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 8.95/1.94 X0)
% 8.95/1.94 | (ssPv15_6r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1468, zip_derived_cl1096])).
% 8.95/1.94 thf(zip_derived_cl1470, plain,
% 8.95/1.94 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 8.95/1.94 X13 : $i, X14 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9)
% 8.95/1.94 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1033, zip_derived_cl1469])).
% 8.95/1.94 thf(clause241, conjecture,
% 8.95/1.94 (~( ( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 8.95/1.94 thf(zf_stmt_40, negated_conjecture,
% 8.95/1.94 (( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause241])).
% 8.95/1.94 thf(zip_derived_cl295, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_40])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl936, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl295, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl933, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl298, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(clause309, conjecture,
% 8.95/1.94 (~( ( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 8.95/1.94 thf(zf_stmt_41, negated_conjecture,
% 8.95/1.94 (( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 8.95/1.94 ( ~( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause309])).
% 8.95/1.94 thf(zip_derived_cl227, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_41])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl1154, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv13_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 8.95/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl227, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl1155, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 8.95/1.94 X5)
% 8.95/1.94 | ~ (ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl933, zip_derived_cl1154])).
% 8.95/1.94 thf(zip_derived_cl1156, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 8.95/1.94 X6 @ X5 @ X4)
% 8.95/1.94 | (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 8.95/1.94 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 8.95/1.94 X6 @ X5))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl936, zip_derived_cl1155])).
% 8.95/1.94 thf(clause222, conjecture,
% 8.95/1.94 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 8.95/1.94 thf(zf_stmt_42, negated_conjecture,
% 8.95/1.94 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 8.95/1.94 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 8.95/1.94 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 8.95/1.94 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 8.95/1.94 ( ~( ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 8.95/1.94 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause222])).
% 8.95/1.94 thf(zip_derived_cl314, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv20_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7)
% 8.95/1.94 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8)
% 8.95/1.94 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9)
% 8.95/1.94 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 8.95/1.94 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 8.95/1.94 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_42])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl688, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl448, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl720, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i]:
% 8.95/1.94 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl428, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688])).
% 8.95/1.94 thf(zip_derived_cl762, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i]:
% 8.95/1.94 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 8.95/1.94 X7 @ X8 @ X9)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl400, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720])).
% 8.95/1.94 thf(zip_derived_cl819, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 8.95/1.94 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl374, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762])).
% 8.95/1.94 thf(zip_derived_cl862, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl347, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl883, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 ( (ssPv20_1r1 @ X0)
% 8.95/1.94 | ~ (ssPv20_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 8.95/1.94 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl314, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643,
% 8.95/1.94 zip_derived_cl688, zip_derived_cl720, zip_derived_cl762,
% 8.95/1.94 zip_derived_cl819, zip_derived_cl862])).
% 8.95/1.94 thf(zip_derived_cl1157, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 8.95/1.94 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 8.95/1.94 X5)
% 8.95/1.94 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 8.95/1.94 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 8.95/1.94 X6 @ X5 @ X4)
% 8.95/1.94 | (ssPv20_1r1 @ X12))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1156, zip_derived_cl883])).
% 8.95/1.94 thf(zip_derived_cl820, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 8.95/1.94 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 8.95/1.94 ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 8.95/1.94 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl763, zip_derived_cl819])).
% 8.95/1.94 thf(zip_derived_cl1160, plain,
% 8.95/1.94 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 8.95/1.94 X10 : $i, X11 : $i]:
% 8.95/1.94 ( (ssPv20_1r1 @ X11)
% 8.95/1.94 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 8.95/1.94 X5 @ X4 @ X3)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 8.95/1.94 X4))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1157, zip_derived_cl820])).
% 8.95/1.94 thf(clause90, conjecture,
% 8.95/1.94 (~( ( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 8.95/1.94 thf(zf_stmt_43, negated_conjecture,
% 8.95/1.94 (( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause90])).
% 8.95/1.94 thf(zip_derived_cl446, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssPv20_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_43])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl695, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv20_1r1 @ X0))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl446, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(clause98, conjecture,
% 8.95/1.94 (~( ( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 8.95/1.94 thf(zf_stmt_44, negated_conjecture,
% 8.95/1.94 (( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause98])).
% 8.95/1.94 thf(zip_derived_cl438, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_44])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl701, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl438, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(clause146, conjecture,
% 8.95/1.94 (~( ( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 8.95/1.94 thf(zf_stmt_45, negated_conjecture,
% 8.95/1.94 (( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv20_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 8.95/1.94 ( ~( ssPv18_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause146])).
% 8.95/1.94 thf(zip_derived_cl390, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_45])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl800, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 8.95/1.94 | ~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl390, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(clause104, conjecture,
% 8.95/1.94 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 8.95/1.94 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 8.95/1.94 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 8.95/1.94 thf(zf_stmt_46, negated_conjecture,
% 8.95/1.94 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 8.95/1.94 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 8.95/1.94 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 8.95/1.94 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 8.95/1.94 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 8.95/1.94 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 8.95/1.94 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 8.95/1.94 ( ~( ssPv15_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 8.95/1.94 inference('cnf.neg', [status(esa)], [clause104])).
% 8.95/1.94 thf(zip_derived_cl432, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_0)
% 8.95/1.94 | ~ (ssNder1_1r1 @ X0)
% 8.95/1.94 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 8.95/1.94 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 8.95/1.94 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 8.95/1.94 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 8.95/1.94 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 8.95/1.94 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_46])).
% 8.95/1.94 thf(zip_derived_cl535, plain, ( (ssNder1_0)),
% 8.95/1.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.95/1.94 thf(zip_derived_cl541, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl534, zip_derived_cl535])).
% 8.95/1.94 thf(zip_derived_cl542, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl533, zip_derived_cl535, zip_derived_cl541])).
% 8.95/1.94 thf(zip_derived_cl546, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl524, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542])).
% 8.95/1.94 thf(zip_derived_cl565, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.95/1.94 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl516, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546])).
% 8.95/1.94 thf(zip_derived_cl580, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl504, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl617, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.95/1.94 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl486, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580])).
% 8.95/1.94 thf(zip_derived_cl643, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl468, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl703, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 8.95/1.94 | ~ (ssPv15_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl432, zip_derived_cl535, zip_derived_cl541,
% 8.95/1.94 zip_derived_cl542, zip_derived_cl546, zip_derived_cl565,
% 8.95/1.94 zip_derived_cl580, zip_derived_cl617, zip_derived_cl643])).
% 8.95/1.94 thf(zip_derived_cl801, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (~ (ssPv18_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl800, zip_derived_cl703])).
% 8.95/1.94 thf(zip_derived_cl804, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (~ (ssPv18_3r1r1r1 @ X7 @ X6 @ X5)
% 8.95/1.94 | (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | ~ (ssPv20_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl701, zip_derived_cl801])).
% 8.95/1.94 thf(zip_derived_cl807, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 8.95/1.94 (~ (ssPv20_1r1 @ X7)
% 8.95/1.94 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 8.95/1.94 | (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 8.95/1.94 | ~ (ssPv18_3r1r1r1 @ X7 @ X6 @ X5))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl695, zip_derived_cl804])).
% 8.95/1.94 thf(zip_derived_cl618, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl584, zip_derived_cl617])).
% 8.95/1.94 thf(zip_derived_cl810, plain,
% 8.95/1.94 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (~ (ssPv18_3r1r1r1 @ X6 @ X5 @ X4)
% 8.95/1.94 | (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 8.95/1.94 | ~ (ssPv20_1r1 @ X6))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl807, zip_derived_cl618])).
% 8.95/1.94 thf(zip_derived_cl566, plain,
% 8.95/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl560, zip_derived_cl565])).
% 8.95/1.94 thf(zip_derived_cl811, plain,
% 8.95/1.94 (![X2 : $i, X3 : $i, X4 : $i]:
% 8.95/1.94 (~ (ssPv20_1r1 @ X4) | ~ (ssPv18_3r1r1r1 @ X4 @ X3 @ X2))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl810, zip_derived_cl566])).
% 8.95/1.94 thf(zip_derived_cl1350, plain,
% 8.95/1.94 (![X3 : $i, X4 : $i, X5 : $i]: (ssPv18_3r1r1r1 @ X5 @ X4 @ X3)),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl1346])).
% 8.95/1.94 thf(zip_derived_cl1363, plain, (![X4 : $i]: ~ (ssPv20_1r1 @ X4)),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl811, zip_derived_cl1350])).
% 8.95/1.94 thf(zip_derived_cl1396, plain,
% 8.95/1.94 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 8.95/1.94 X10 : $i, X11 : $i]:
% 8.95/1.94 (~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 8.95/1.94 X4 @ X3)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 8.95/1.94 X4))),
% 8.95/1.94 inference('demod', [status(thm)],
% 8.95/1.94 [zip_derived_cl1160, zip_derived_cl1363])).
% 8.95/1.94 thf(zip_derived_cl1471, plain,
% 8.95/1.94 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 8.95/1.94 ( (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 8.95/1.94 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl1470, zip_derived_cl1396])).
% 8.95/1.94 thf(zip_derived_cl1472, plain,
% 8.95/1.94 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.95/1.94 (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)),
% 8.95/1.94 inference('sup-', [status(thm)], [zip_derived_cl651, zip_derived_cl1471])).
% 8.95/1.94 thf(zip_derived_cl1473, plain, ($false),
% 8.95/1.94 inference('demod', [status(thm)], [zip_derived_cl566, zip_derived_cl1472])).
% 8.95/1.94
% 8.95/1.94 % SZS output end Refutation
% 8.95/1.94
% 8.95/1.94
% 8.95/1.94 % Terminating...
% 9.50/2.08 % Runner terminated.
% 9.50/2.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------