TSTP Solution File: SYN877-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN877-1 : 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.5A0qvfozmC true
% Computer : n025.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 04:05:57 EDT 2023
% Result : Unsatisfiable 1.88s 1.05s
% Output : Refutation 1.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN877-1 : 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.5A0qvfozmC true
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:07:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.88/1.05 % Solved by fo/fo7.sh.
% 1.88/1.05 % done 131 iterations in 0.186s
% 1.88/1.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.88/1.05 % SZS output start Refutation
% 1.88/1.05 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.88/1.05 $i > $i > $o).
% 1.88/1.05 thf(skc23_type, type, skc23: $i).
% 1.88/1.05 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 1.88/1.05 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 1.88/1.05 thf(skc16_type, type, skc16: $i).
% 1.88/1.05 thf(ssPv11_10r1r1r1r1r1r1r1r1r1r1_type, type, ssPv11_10r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 1.88/1.05 $i > $o).
% 1.88/1.05 thf(skc29_type, type, skc29: $i).
% 1.88/1.05 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(skc19_type, type, skc19: $i).
% 1.88/1.05 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(skc30_type, type, skc30: $i).
% 1.88/1.05 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 1.88/1.05 $i > $i > $i > $o).
% 1.88/1.05 thf(skc26_type, type, skc26: $i).
% 1.88/1.05 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 1.88/1.05 $i > $i > $i > $o).
% 1.88/1.05 thf(skc24_type, type, skc24: $i).
% 1.88/1.05 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(skc22_type, type, skc22: $i).
% 1.88/1.05 thf(skc28_type, type, skc28: $i).
% 1.88/1.05 thf(ssPv18_3r1r1r1_type, type, ssPv18_3r1r1r1: $i > $i > $i > $o).
% 1.88/1.05 thf(skc31_type, type, skc31: $i).
% 1.88/1.05 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 1.88/1.05 $i > $i >
% 1.88/1.05 $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.88/1.05 $i > $i > $o).
% 1.88/1.05 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 1.88/1.05 $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 1.88/1.05 $i > $i >
% 1.88/1.05 $i > $i >
% 1.88/1.05 $i > $i > $o).
% 1.88/1.05 thf(ssPv17_4r1r1r1r1_type, type, ssPv17_4r1r1r1r1: $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 1.88/1.05 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 1.88/1.05 thf(skc27_type, type, skc27: $i).
% 1.88/1.05 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 1.88/1.05 $i > $i >
% 1.88/1.05 $i > $i > $i > $o).
% 1.88/1.05 thf(skc21_type, type, skc21: $i).
% 1.88/1.05 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ssPv12_9r1r1r1r1r1r1r1r1r1:
% 1.88/1.05 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 1.88/1.05 thf(skc20_type, type, skc20: $i).
% 1.88/1.05 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 1.88/1.05 thf(clause6, conjecture,
% 1.88/1.05 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 1.88/1.05 thf(zf_stmt_0, negated_conjecture,
% 1.88/1.05 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc30 ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause6])).
% 1.88/1.05 thf(zip_derived_cl70, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.88/1.05 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 1.88/1.05 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause1])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 1.88/1.05 thf(zf_stmt_2, negated_conjecture,
% 1.88/1.05 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause2])).
% 1.88/1.05 thf(zip_derived_cl74, plain,
% 1.88/1.05 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(clause3, conjecture,
% 1.88/1.05 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) ))).
% 1.88/1.05 thf(zf_stmt_3, negated_conjecture,
% 1.88/1.05 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause3])).
% 1.88/1.05 thf(zip_derived_cl73, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]:
% 1.88/1.05 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(clause4, conjecture,
% 1.88/1.05 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 1.88/1.05 thf(zf_stmt_4, negated_conjecture,
% 1.88/1.05 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause4])).
% 1.88/1.05 thf(zip_derived_cl72, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.88/1.05 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl85, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc30)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl70, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(clause28, conjecture,
% 1.88/1.05 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.05 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.05 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.88/1.05 thf(zf_stmt_5, negated_conjecture,
% 1.88/1.05 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.05 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.05 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause28])).
% 1.88/1.05 thf(zip_derived_cl48, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.05 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.05 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.05 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7)
% 1.88/1.05 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8)
% 1.88/1.05 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9)
% 1.88/1.05 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.05 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.05 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.05 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(clause5, conjecture,
% 1.88/1.05 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 1.88/1.05 thf(zf_stmt_6, negated_conjecture,
% 1.88/1.05 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause5])).
% 1.88/1.05 thf(zip_derived_cl71, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(clause8, conjecture,
% 1.88/1.05 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 1.88/1.05 thf(zf_stmt_7, negated_conjecture,
% 1.88/1.05 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause8])).
% 1.88/1.05 thf(zip_derived_cl68, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(clause11, conjecture,
% 1.88/1.05 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.88/1.05 thf(zf_stmt_8, negated_conjecture,
% 1.88/1.05 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.05 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause11])).
% 1.88/1.05 thf(zip_derived_cl65, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(clause14, conjecture,
% 1.88/1.05 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.88/1.05 thf(zf_stmt_9, negated_conjecture,
% 1.88/1.05 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause14])).
% 1.88/1.05 thf(zip_derived_cl62, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(zip_derived_cl95, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.05 thf(clause17, conjecture,
% 1.88/1.05 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 1.88/1.05 thf(zf_stmt_10, negated_conjecture,
% 1.88/1.05 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause17])).
% 1.88/1.05 thf(zip_derived_cl59, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.05 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(zip_derived_cl95, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.05 thf(zip_derived_cl96, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.05 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.05 thf(clause19, conjecture,
% 1.88/1.05 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 1.88/1.05 thf(zf_stmt_11, negated_conjecture,
% 1.88/1.05 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause19])).
% 1.88/1.05 thf(zip_derived_cl57, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i]:
% 1.88/1.05 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.05 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(zip_derived_cl95, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.05 thf(zip_derived_cl96, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.05 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.05 thf(zip_derived_cl104, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i]:
% 1.88/1.05 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96])).
% 1.88/1.05 thf(clause20, conjecture,
% 1.88/1.05 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 1.88/1.05 thf(zf_stmt_12, negated_conjecture,
% 1.88/1.05 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause20])).
% 1.88/1.05 thf(zip_derived_cl56, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.05 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.05 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7)
% 1.88/1.05 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(zip_derived_cl95, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.05 thf(zip_derived_cl96, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.05 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.05 thf(zip_derived_cl104, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i]:
% 1.88/1.05 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96])).
% 1.88/1.05 thf(zip_derived_cl110, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.05 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8 @ X9)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.05 thf(clause21, conjecture,
% 1.88/1.05 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 1.88/1.05 thf(zf_stmt_13, negated_conjecture,
% 1.88/1.05 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause21])).
% 1.88/1.05 thf(zip_derived_cl55, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.05 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.05 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7)
% 1.88/1.05 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8)
% 1.88/1.05 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(zip_derived_cl95, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.05 thf(zip_derived_cl96, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.05 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.05 thf(zip_derived_cl104, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i]:
% 1.88/1.05 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96])).
% 1.88/1.05 thf(zip_derived_cl110, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.05 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8 @ X9)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.05 thf(zip_derived_cl111, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.05 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.05 thf(clause22, conjecture,
% 1.88/1.05 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.05 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 1.88/1.05 thf(zf_stmt_14, negated_conjecture,
% 1.88/1.05 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.05 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause22])).
% 1.88/1.05 thf(zip_derived_cl54, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.05 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.05 | ~ (ssNder1_0)
% 1.88/1.05 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.05 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.05 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.05 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.05 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.05 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.05 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.05 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7)
% 1.88/1.05 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8)
% 1.88/1.05 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9)
% 1.88/1.05 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.05 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.88/1.05 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.05 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.05 thf(zip_derived_cl82, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.05 thf(zip_derived_cl83, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82])).
% 1.88/1.05 thf(zip_derived_cl84, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.05 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.05 thf(zip_derived_cl86, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.05 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.05 thf(zip_derived_cl88, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.05 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86])).
% 1.88/1.05 thf(zip_derived_cl95, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.05 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.05 thf(zip_derived_cl96, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.05 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.05 thf(zip_derived_cl104, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i]:
% 1.88/1.05 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96])).
% 1.88/1.05 thf(zip_derived_cl110, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.05 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.05 X7 @ X8 @ X9)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.05 thf(zip_derived_cl111, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.05 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.05 thf(zip_derived_cl112, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.05 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.05 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.05 zip_derived_cl111])).
% 1.88/1.05 thf(zip_derived_cl115, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.05 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.05 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 1.88/1.05 inference('demod', [status(thm)],
% 1.88/1.05 [zip_derived_cl48, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.05 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.05 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.05 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.05 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.05 thf(clause57, conjecture,
% 1.88/1.05 (~( ( ssPv20_1r1 @ U ) |
% 1.88/1.05 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.05 ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.05 X10 @ X11 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.05 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.05 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.05 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.05 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.05 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.05 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.05 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.88/1.05 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.88/1.05 X9 @ X10 ) ) ))).
% 1.88/1.05 thf(zf_stmt_15, negated_conjecture,
% 1.88/1.05 (( ssPv20_1r1 @ U ) |
% 1.88/1.05 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.05 ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.05 X10 @ X11 ) |
% 1.88/1.05 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.05 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.05 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.05 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.05 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.05 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.05 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.05 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.05 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.05 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.05 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.05 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.05 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.05 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.05 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.88/1.05 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.05 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.05 X10 ) )),
% 1.88/1.05 inference('cnf.neg', [status(esa)], [clause57])).
% 1.88/1.05 thf(zip_derived_cl19, plain,
% 1.88/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.05 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.05 X14 : $i, X15 : $i, X16 : $i]:
% 1.88/1.05 ( (ssPv20_1r1 @ X0)
% 1.88/1.05 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.88/1.06 X15 @ X16)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.88/1.06 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.88/1.06 X14 @ X15))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.88/1.06 thf(clause43, conjecture,
% 1.88/1.06 (~( ( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.88/1.06 ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.88/1.06 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.88/1.06 thf(zf_stmt_16, negated_conjecture,
% 1.88/1.06 (( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.88/1.06 ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.88/1.06 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause43])).
% 1.88/1.06 thf(zip_derived_cl33, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(clause27, conjecture,
% 1.88/1.06 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 1.88/1.06 thf(zf_stmt_17, negated_conjecture,
% 1.88/1.06 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause27])).
% 1.88/1.06 thf(zip_derived_cl49, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(clause31, conjecture,
% 1.88/1.06 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.88/1.06 thf(zf_stmt_18, negated_conjecture,
% 1.88/1.06 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause31])).
% 1.88/1.06 thf(zip_derived_cl45, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl168, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl33, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(clause33, conjecture,
% 1.88/1.06 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.88/1.06 skc19 ) ) ))).
% 1.88/1.06 thf(zf_stmt_19, negated_conjecture,
% 1.88/1.06 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause33])).
% 1.88/1.06 thf(zip_derived_cl43, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl101, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl43, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl107, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl120, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl107, zip_derived_cl110, zip_derived_cl111,
% 1.88/1.06 zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl169, plain,
% 1.88/1.06 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i,
% 1.88/1.06 X12 : $i, X13 : $i]:
% 1.88/1.06 (~ (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.88/1.06 X7 @ X6 @ X5)
% 1.88/1.06 | (ssPv17_4r1r1r1r1 @ X13 @ X12 @ X11 @ X10))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl120])).
% 1.88/1.06 thf(clause9, conjecture,
% 1.88/1.06 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 1.88/1.06 thf(zf_stmt_20, negated_conjecture,
% 1.88/1.06 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc28 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause9])).
% 1.88/1.06 thf(zip_derived_cl67, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl87, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl67, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(clause42, conjecture,
% 1.88/1.06 (~( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.88/1.06 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.88/1.06 thf(zf_stmt_21, negated_conjecture,
% 1.88/1.06 (( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.88/1.06 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause42])).
% 1.88/1.06 thf(zip_derived_cl34, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl159, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X0)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl34, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(zip_derived_cl160, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (~ (ssPv20_1r1 @ X4)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @
% 1.88/1.06 X0 @ skc28 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 1.88/1.06 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc28 @
% 1.88/1.06 X13 @ X12 @ X11 @ X10))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl159])).
% 1.88/1.06 thf(zip_derived_cl120, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl107, zip_derived_cl110, zip_derived_cl111,
% 1.88/1.06 zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl161, plain,
% 1.88/1.06 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 1.88/1.06 X11 : $i, X12 : $i]:
% 1.88/1.06 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 1.88/1.06 skc28 @ X7 @ X6 @ X5 @ X4)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X12))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl120])).
% 1.88/1.06 thf(clause39, conjecture,
% 1.88/1.06 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.88/1.06 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 1.88/1.06 thf(zf_stmt_22, negated_conjecture,
% 1.88/1.06 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 1.88/1.06 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause39])).
% 1.88/1.06 thf(zip_derived_cl37, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl149, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl37, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl163, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (~ (ssPv20_1r1 @ X8)
% 1.88/1.06 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc28 @
% 1.88/1.06 X3 @ X2 @ X1)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @
% 1.88/1.06 skc28 @ X3 @ X2 @ X1 @ X0 @ X12 @ X11 @ X10 @ X9)
% 1.88/1.06 | (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ skc28 @ X3))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl149])).
% 1.88/1.06 thf(zip_derived_cl170, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X7 @ X6 @ X5 @ X4)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc28)
% 1.88/1.06 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc28 @ X2)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 1.88/1.06 skc28 @ X2 @ X1 @ X0 @ X12 @ X11 @ X10 @ X9 @ X8)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X7))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl163])).
% 1.88/1.06 thf(zip_derived_cl87, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc28)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl67, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl171, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X7 @ X6 @ X5 @ X4)
% 1.88/1.06 | (ssPv14_7r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @ skc28 @ X2)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 1.88/1.06 skc28 @ X2 @ X1 @ X0 @ X12 @ X11 @ X10 @ X9 @ X8)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X7))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl87])).
% 1.88/1.06 thf(clause29, conjecture,
% 1.88/1.06 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 1.88/1.06 thf(zf_stmt_23, negated_conjecture,
% 1.88/1.06 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause29])).
% 1.88/1.06 thf(zip_derived_cl47, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl100, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl47, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl106, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl119, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl106, zip_derived_cl110, zip_derived_cl111,
% 1.88/1.06 zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl172, plain,
% 1.88/1.06 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (~ (ssPv20_1r1 @ X11)
% 1.88/1.06 | (ssPv14_7r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ skc28 @ X6)
% 1.88/1.06 | (ssPv17_4r1r1r1r1 @ X11 @ X10 @ X9 @ X8))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl171, zip_derived_cl119])).
% 1.88/1.06 thf(clause13, conjecture,
% 1.88/1.06 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 1.88/1.06 thf(zf_stmt_24, negated_conjecture,
% 1.88/1.06 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause13])).
% 1.88/1.06 thf(zip_derived_cl63, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl78, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl91, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl78, zip_derived_cl81, zip_derived_cl82,
% 1.88/1.06 zip_derived_cl83, zip_derived_cl84, zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl173, plain,
% 1.88/1.06 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X4 @ X3 @ X2 @ X1) | ~ (ssPv20_1r1 @ X4))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl91])).
% 1.88/1.06 thf(clause12, conjecture,
% 1.88/1.06 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 1.88/1.06 thf(zf_stmt_25, negated_conjecture,
% 1.88/1.06 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc26 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause12])).
% 1.88/1.06 thf(zip_derived_cl64, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl92, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc26)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl64, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(clause18, conjecture,
% 1.88/1.06 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.06 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.88/1.06 thf(zf_stmt_26, negated_conjecture,
% 1.88/1.06 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.06 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause18])).
% 1.88/1.06 thf(zip_derived_cl58, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl97, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl58, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl98, plain,
% 1.88/1.06 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (~ (ssPv17_4r1r1r1r1 @ X5 @ X4 @ X3 @ X2)
% 1.88/1.06 | ~ (ssPv18_3r1r1r1 @ X5 @ X4 @ X3)
% 1.88/1.06 | (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl97])).
% 1.88/1.06 thf(zip_derived_cl175, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (~ (ssPv20_1r1 @ X3)
% 1.88/1.06 | (ssPv16_5r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X4)
% 1.88/1.06 | ~ (ssPv18_3r1r1r1 @ X3 @ X2 @ X1))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl98])).
% 1.88/1.06 thf(clause15, conjecture,
% 1.88/1.06 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 1.88/1.06 thf(zf_stmt_27, negated_conjecture,
% 1.88/1.06 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause15])).
% 1.88/1.06 thf(zip_derived_cl61, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl94, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl61, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(clause40, conjecture,
% 1.88/1.06 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) |
% 1.88/1.06 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.88/1.06 thf(zf_stmt_28, negated_conjecture,
% 1.88/1.06 (( ssPv18_3r1r1r1 @ U @ V @ W ) |
% 1.88/1.06 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause40])).
% 1.88/1.06 thf(zip_derived_cl36, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl146, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssPv20_1r1 @ X0)
% 1.88/1.06 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl36, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(zip_derived_cl147, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (~ (ssPv20_1r1 @ X6)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @
% 1.88/1.06 X2 @ X1 @ X0 @ skc24 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 1.88/1.06 | (ssPv18_3r1r1r1 @ X6 @ X5 @ X4))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl146])).
% 1.88/1.06 thf(zip_derived_cl120, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl107, zip_derived_cl110, zip_derived_cl111,
% 1.88/1.06 zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl148, plain,
% 1.88/1.06 (![X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ( (ssPv18_3r1r1r1 @ X12 @ X11 @ X10) | ~ (ssPv20_1r1 @ X12))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl120])).
% 1.88/1.06 thf(zip_derived_cl176, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 ( (ssPv16_5r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X4) | ~ (ssPv20_1r1 @ X3))),
% 1.88/1.06 inference('clc', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 1.88/1.06 thf(clause7, conjecture,
% 1.88/1.06 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 1.88/1.06 thf(zf_stmt_29, negated_conjecture,
% 1.88/1.06 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause7])).
% 1.88/1.06 thf(zip_derived_cl69, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl80, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl89, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl80, zip_derived_cl81, zip_derived_cl82,
% 1.88/1.06 zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl177, plain, (![X3 : $i]: ~ (ssPv20_1r1 @ X3)),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl89])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(clause35, conjecture,
% 1.88/1.06 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.88/1.06 thf(zf_stmt_30, negated_conjecture,
% 1.88/1.06 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause35])).
% 1.88/1.06 thf(zip_derived_cl41, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl134, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl41, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(clause41, conjecture,
% 1.88/1.06 (~( ( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 X10 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 1.88/1.06 thf(zf_stmt_31, negated_conjecture,
% 1.88/1.06 (( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause41])).
% 1.88/1.06 thf(zip_derived_cl35, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 ( (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl134, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl41, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(zip_derived_cl145, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl35, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125, zip_derived_cl134])).
% 1.88/1.06 thf(zip_derived_cl233, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i, X16 : $i]:
% 1.88/1.06 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 1.88/1.06 X15 @ X16)
% 1.88/1.06 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl19, zip_derived_cl177, zip_derived_cl75,
% 1.88/1.06 zip_derived_cl81, zip_derived_cl82, zip_derived_cl83,
% 1.88/1.06 zip_derived_cl84, zip_derived_cl86, zip_derived_cl88,
% 1.88/1.06 zip_derived_cl95, zip_derived_cl96, zip_derived_cl104,
% 1.88/1.06 zip_derived_cl110, zip_derived_cl111, zip_derived_cl112,
% 1.88/1.06 zip_derived_cl114, zip_derived_cl125, zip_derived_cl134,
% 1.88/1.06 zip_derived_cl145])).
% 1.88/1.06 thf(clause51, conjecture,
% 1.88/1.06 (~( ( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.88/1.06 ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.88/1.06 ( ~( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.88/1.06 X9 @ X10 @ X11 ) ) |
% 1.88/1.06 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.88/1.06 X9 @ X10 ) ) ))).
% 1.88/1.06 thf(zf_stmt_32, negated_conjecture,
% 1.88/1.06 (( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) |
% 1.88/1.06 ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 1.88/1.06 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 1.88/1.06 ( ~( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 X10 @ X11 ) ) |
% 1.88/1.06 ( ~( ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 X10 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause51])).
% 1.88/1.06 thf(zip_derived_cl25, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i, X16 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 1.88/1.06 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.88/1.06 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.88/1.06 X14 @ X15 @ X16)
% 1.88/1.06 | ~ (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.88/1.06 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.88/1.06 X14 @ X15))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl134, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl41, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(zip_derived_cl145, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 (ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl35, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125, zip_derived_cl134])).
% 1.88/1.06 thf(zip_derived_cl207, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i, X16 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @
% 1.88/1.06 X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @
% 1.88/1.06 X14 @ X15 @ X16))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl25, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125, zip_derived_cl134, zip_derived_cl145])).
% 1.88/1.06 thf(zip_derived_cl234, plain,
% 1.88/1.06 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.88/1.06 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i, X15 : $i,
% 1.88/1.06 X16 : $i]:
% 1.88/1.06 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 1.88/1.06 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 1.88/1.06 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @
% 1.88/1.06 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.88/1.06 | ~ (ssPv16_5r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11)
% 1.88/1.06 | (ssPv17_4r1r1r1r1 @ X16 @ X15 @ X14 @ X13))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl207])).
% 1.88/1.06 thf(zip_derived_cl120, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl107, zip_derived_cl110, zip_derived_cl111,
% 1.88/1.06 zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl235, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X13 @ X12 @ X11 @ X10)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 1.88/1.06 | ~ (ssPv16_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9)
% 1.88/1.06 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 1.88/1.06 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl120])).
% 1.88/1.06 thf(zip_derived_cl236, plain,
% 1.88/1.06 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (~ (ssPv16_5r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 1.88/1.06 | (ssPv17_4r1r1r1r1 @ X12 @ X11 @ X10 @ X9))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl235])).
% 1.88/1.06 thf(zip_derived_cl237, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 ( (ssPv17_4r1r1r1r1 @ X3 @ X2 @ X1 @ X0)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @ X4))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl236])).
% 1.88/1.06 thf(clause36, conjecture,
% 1.88/1.06 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 skc16 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 1.88/1.06 thf(zf_stmt_33, negated_conjecture,
% 1.88/1.06 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 skc16 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause36])).
% 1.88/1.06 thf(zip_derived_cl40, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl139, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl40, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(clause48, conjecture,
% 1.88/1.06 (~( ( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.88/1.06 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.88/1.06 X9 @ X10 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 1.88/1.06 thf(zf_stmt_34, negated_conjecture,
% 1.88/1.06 (( ssPv11_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 1.88/1.06 ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssPv17_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 X10 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause48])).
% 1.88/1.06 thf(zip_derived_cl28, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)
% 1.88/1.06 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.88/1.06 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl134, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl41, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(zip_derived_cl203, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)
% 1.88/1.06 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssPv17_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl28, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125, zip_derived_cl134])).
% 1.88/1.06 thf(zip_derived_cl204, plain,
% 1.88/1.06 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.88/1.06 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 1.88/1.06 (~ (ssPv17_4r1r1r1r1 @ X14 @ X13 @ X12 @ X11)
% 1.88/1.06 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 1.88/1.06 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.88/1.06 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 1.88/1.06 X9 @ X8 @ X7 @ X6 @ X5))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl203])).
% 1.88/1.06 thf(zip_derived_cl239, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssPv15_6r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ skc30 @ X13)
% 1.88/1.06 | (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X9 @ X8 @
% 1.88/1.06 X7 @ X6 @ X5 @ X4)
% 1.88/1.06 | (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X3 @ X2 @ X1 @ X0 @ X9 @
% 1.88/1.06 X8 @ X7 @ X6 @ X5 @ X4 @ X12 @ X11 @ X10))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl204])).
% 1.88/1.06 thf(clause24, conjecture,
% 1.88/1.06 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) ) ))).
% 1.88/1.06 thf(zf_stmt_35, negated_conjecture,
% 1.88/1.06 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc23 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause24])).
% 1.88/1.06 thf(zip_derived_cl52, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl76, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl99, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl76, zip_derived_cl81, zip_derived_cl82,
% 1.88/1.06 zip_derived_cl83, zip_derived_cl84, zip_derived_cl86,
% 1.88/1.06 zip_derived_cl88, zip_derived_cl95, zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl105, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl118, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc23)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl105, zip_derived_cl110, zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl241, plain,
% 1.88/1.06 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.88/1.06 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ( (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 1.88/1.06 X5 @ X4 @ X3 @ X2)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ skc30 @ X12))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl239, zip_derived_cl118])).
% 1.88/1.06 thf(zip_derived_cl149, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl37, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl177, plain, (![X3 : $i]: ~ (ssPv20_1r1 @ X3)),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl89])).
% 1.88/1.06 thf(clause23, conjecture,
% 1.88/1.06 (~( ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 1.88/1.06 thf(zf_stmt_36, negated_conjecture,
% 1.88/1.06 (( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc22 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause23])).
% 1.88/1.06 thf(zip_derived_cl53, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 ( (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_36])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl113, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ skc22)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl53, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl139, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl40, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(clause46, conjecture,
% 1.88/1.06 (~( ( ssPv20_1r1 @ U ) |
% 1.88/1.06 ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 1.88/1.06 X9 @ X10 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 1.88/1.06 thf(zf_stmt_37, negated_conjecture,
% 1.88/1.06 (( ssPv20_1r1 @ U ) |
% 1.88/1.06 ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 1.88/1.06 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 1.88/1.06 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 1.88/1.06 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 1.88/1.06 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 1.88/1.06 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 1.88/1.06 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 1.88/1.06 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 1.88/1.06 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 1.88/1.06 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 1.88/1.06 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 1.88/1.06 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 1.88/1.06 X10 ) ) |
% 1.88/1.06 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 1.88/1.06 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause46])).
% 1.88/1.06 thf(zip_derived_cl30, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 ( (ssPv20_1r1 @ X0)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.88/1.06 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 1.88/1.06 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7)
% 1.88/1.06 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8)
% 1.88/1.06 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9)
% 1.88/1.06 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 1.88/1.06 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 1.88/1.06 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 1.88/1.06 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_37])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl86, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl68, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl88, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl65, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl95, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl62, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88])).
% 1.88/1.06 thf(zip_derived_cl96, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.88/1.06 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl59, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95])).
% 1.88/1.06 thf(zip_derived_cl104, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl57, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96])).
% 1.88/1.06 thf(zip_derived_cl110, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i]:
% 1.88/1.06 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8 @ X9)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl56, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104])).
% 1.88/1.06 thf(zip_derived_cl111, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 1.88/1.06 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl55, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110])).
% 1.88/1.06 thf(zip_derived_cl112, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 1.88/1.06 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl54, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111])).
% 1.88/1.06 thf(zip_derived_cl114, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl49, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl125, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl45, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114])).
% 1.88/1.06 thf(zip_derived_cl134, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl41, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125])).
% 1.88/1.06 thf(zip_derived_cl182, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i, X15 : $i]:
% 1.88/1.06 ( (ssPv20_1r1 @ X0)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 1.88/1.06 X7 @ X8)
% 1.88/1.06 | ~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 1.88/1.06 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 1.88/1.06 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl30, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83, zip_derived_cl84,
% 1.88/1.06 zip_derived_cl86, zip_derived_cl88, zip_derived_cl95,
% 1.88/1.06 zip_derived_cl96, zip_derived_cl104, zip_derived_cl110,
% 1.88/1.06 zip_derived_cl111, zip_derived_cl112, zip_derived_cl114,
% 1.88/1.06 zip_derived_cl125, zip_derived_cl134])).
% 1.88/1.06 thf(zip_derived_cl183, plain,
% 1.88/1.06 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 1.88/1.06 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 1.88/1.06 (~ (ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 1.88/1.06 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 1.88/1.06 X8 @ X7 @ X6)
% 1.88/1.06 | (ssPv20_1r1 @ X14))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl182])).
% 1.88/1.06 thf(zip_derived_cl184, plain,
% 1.88/1.06 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 1.88/1.06 X10 : $i, X11 : $i]:
% 1.88/1.06 ( (ssPv20_1r1 @ X11)
% 1.88/1.06 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 1.88/1.06 X5 @ X4 @ X3))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl183])).
% 1.88/1.06 thf(zip_derived_cl195, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i]:
% 1.88/1.06 (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @
% 1.88/1.06 X2 @ X1)),
% 1.88/1.06 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl184])).
% 1.88/1.06 thf(zip_derived_cl197, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 1.88/1.06 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 1.88/1.06 | ~ (ssPv11_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 1.88/1.06 X6 @ X7 @ X8 @ X9))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl195])).
% 1.88/1.06 thf(zip_derived_cl242, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 1.88/1.06 X14 : $i]:
% 1.88/1.06 ( (ssPv15_6r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ skc30 @ X14)
% 1.88/1.06 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 1.88/1.06 X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12 @ X11 @ X10)
% 1.88/1.06 | (ssPv14_7r1r1r1r1r1r1r1 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl241, zip_derived_cl197])).
% 1.88/1.06 thf(zip_derived_cl119, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 1.88/1.06 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 1.88/1.06 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 1.88/1.06 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl106, zip_derived_cl110, zip_derived_cl111,
% 1.88/1.06 zip_derived_cl112])).
% 1.88/1.06 thf(zip_derived_cl243, plain,
% 1.88/1.06 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 1.88/1.06 X13 : $i]:
% 1.88/1.06 ( (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 1.88/1.06 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ skc30 @ X13))),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl242, zip_derived_cl119])).
% 1.88/1.06 thf(zip_derived_cl91, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.88/1.06 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl78, zip_derived_cl81, zip_derived_cl82,
% 1.88/1.06 zip_derived_cl83, zip_derived_cl84, zip_derived_cl86])).
% 1.88/1.06 thf(zip_derived_cl244, plain,
% 1.88/1.06 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.88/1.06 (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ skc30 @ X6)),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl91])).
% 1.88/1.06 thf(clause10, conjecture,
% 1.88/1.06 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 1.88/1.06 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 1.88/1.06 thf(zf_stmt_38, negated_conjecture,
% 1.88/1.06 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 1.88/1.06 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 1.88/1.06 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 1.88/1.06 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 1.88/1.06 inference('cnf.neg', [status(esa)], [clause10])).
% 1.88/1.06 thf(zip_derived_cl66, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (~ (ssNder1_0)
% 1.88/1.06 | ~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_38])).
% 1.88/1.06 thf(zip_derived_cl75, plain, ( (ssNder1_0)),
% 1.88/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.88/1.06 thf(zip_derived_cl79, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 (~ (ssNder1_1r1 @ X0)
% 1.88/1.06 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 1.88/1.06 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 1.88/1.06 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 1.88/1.06 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl81, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 1.88/1.06 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl75])).
% 1.88/1.06 thf(zip_derived_cl82, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl73, zip_derived_cl75, zip_derived_cl81])).
% 1.88/1.06 thf(zip_derived_cl83, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl72, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82])).
% 1.88/1.06 thf(zip_derived_cl84, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.88/1.06 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl71, zip_derived_cl75, zip_derived_cl81,
% 1.88/1.06 zip_derived_cl82, zip_derived_cl83])).
% 1.88/1.06 thf(zip_derived_cl90, plain,
% 1.88/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.88/1.06 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 1.88/1.06 inference('demod', [status(thm)],
% 1.88/1.06 [zip_derived_cl79, zip_derived_cl81, zip_derived_cl82,
% 1.88/1.06 zip_derived_cl83, zip_derived_cl84])).
% 1.88/1.06 thf(zip_derived_cl245, plain, ($false),
% 1.88/1.06 inference('sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl90])).
% 1.88/1.06
% 1.88/1.06 % SZS output end Refutation
% 1.88/1.06
% 1.88/1.06
% 1.88/1.06 % Terminating...
% 2.50/1.14 % Runner terminated.
% 2.92/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------