TSTP Solution File: SYN857-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN857-1 : 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.oHSq9x1auy true
% Computer : n017.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 04:05:48 EDT 2023
% Result : Unsatisfiable 10.78s 2.16s
% Output : Refutation 10.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN857-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oHSq9x1auy true
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 17:11:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.78/2.16 % Solved by fo/fo7.sh.
% 10.78/2.16 % done 870 iterations in 1.304s
% 10.78/2.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.78/2.16 % SZS output start Refutation
% 10.78/2.16 thf(ssPv16_5r1r1r1r1r1_type, type, ssPv16_5r1r1r1r1r1: $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_1r1_type, type, ssNder1_1r1: $i > $o).
% 10.78/2.16 thf(ssPv18_9r1r1r1r1r1r1r1r1r1_type, type, ssPv18_9r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc24_type, type, skc24: $i).
% 10.78/2.16 thf(ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_6r1r1r1r1r1r1_type, type, ssNder1_6r1r1r1r1r1r1: $i > $i > $i >
% 10.78/2.16 $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_10r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_10r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv19_2r1r1_type, type, ssPv19_2r1r1: $i > $i > $o).
% 10.78/2.16 thf(ssNder1_8r1r1r1r1r1r1r1r1_type, type, ssNder1_8r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv14_9r1r1r1r1r1r1r1r1r1_type, type, ssPv14_9r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_5r1r1r1r1r1_type, type, ssNder1_5r1r1r1r1r1: $i > $i > $i > $i >
% 10.78/2.16 $i > $o).
% 10.78/2.16 thf(skc21_type, type, skc21: $i).
% 10.78/2.16 thf(ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_4r1r1r1r1_type, type, ssNder1_4r1r1r1r1: $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc31_type, type, skc31: $i).
% 10.78/2.16 thf(ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_11r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc29_type, type, skc29: $i).
% 10.78/2.16 thf(skc19_type, type, skc19: $i).
% 10.78/2.16 thf(ssPv15_6r1r1r1r1r1r1_type, type, ssPv15_6r1r1r1r1r1r1: $i > $i > $i >
% 10.78/2.16 $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssPv10_11r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_11r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv16_9r1r1r1r1r1r1r1r1r1_type, type, ssPv16_9r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc16_type, type, skc16: $i).
% 10.78/2.16 thf(ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_9r1r1r1r1r1r1r1r1r1_type, type, ssNder1_9r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc17_type, type, skc17: $i).
% 10.78/2.16 thf(skc20_type, type, skc20: $i).
% 10.78/2.16 thf(ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_7r1r1r1r1r1r1r1_type, type, ssNder1_7r1r1r1r1r1r1r1: $i > $i >
% 10.78/2.16 $i > $i >
% 10.78/2.16 $i > $i > $i > $o).
% 10.78/2.16 thf(skc25_type, type, skc25: $i).
% 10.78/2.16 thf(ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssNder1_0_type, type, ssNder1_0: $o).
% 10.78/2.16 thf(ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssPv13_8r1r1r1r1r1r1r1r1_type, type, ssPv13_8r1r1r1r1r1r1r1r1: $i > $i >
% 10.78/2.16 $i > $i >
% 10.78/2.16 $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv14_7r1r1r1r1r1r1r1_type, type, ssPv14_7r1r1r1r1r1r1r1: $i > $i >
% 10.78/2.16 $i > $i >
% 10.78/2.16 $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i >
% 10.78/2.16 $i > $i > $o).
% 10.78/2.16 thf(ssPv12_9r1r1r1r1r1r1r1r1r1_type, type, ssPv12_9r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc27_type, type, skc27: $i).
% 10.78/2.16 thf(ssNder1_3r1r1r1_type, type, ssNder1_3r1r1r1: $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(skc18_type, type, skc18: $i).
% 10.78/2.16 thf(ssPv20_1r1_type, type, ssPv20_1r1: $i > $o).
% 10.78/2.16 thf(ssNder1_2r1r1_type, type, ssNder1_2r1r1: $i > $i > $o).
% 10.78/2.16 thf(ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1_type, type, ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1:
% 10.78/2.16 $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 10.78/2.16 thf(ssPv18_3r1r1r1_type, type, ssPv18_3r1r1r1: $i > $i > $i > $o).
% 10.78/2.16 thf(clause42, conjecture,
% 10.78/2.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) ) ))).
% 10.78/2.16 thf(zf_stmt_0, negated_conjecture,
% 10.78/2.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ skc29 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause42])).
% 10.78/2.16 thf(zip_derived_cl574, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.78/2.16 thf(clause1, conjecture, (~( ssNder1_0 ))).
% 10.78/2.16 thf(zf_stmt_1, negated_conjecture, (ssNder1_0),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause1])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl619, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl615])).
% 10.78/2.16 thf(clause2, conjecture, (~( ( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) ) ))).
% 10.78/2.16 thf(zf_stmt_2, negated_conjecture,
% 10.78/2.16 (( ssNder1_1r1 @ U ) | ( ~( ssNder1_0 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause2])).
% 10.78/2.16 thf(zip_derived_cl614, plain,
% 10.78/2.16 (![X0 : $i]: ( (ssNder1_1r1 @ X0) | ~ (ssNder1_0))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(clause3, conjecture,
% 10.78/2.16 (~( ( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) ))).
% 10.78/2.16 thf(zf_stmt_3, negated_conjecture,
% 10.78/2.16 (( ssNder1_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause3])).
% 10.78/2.16 thf(zip_derived_cl613, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]:
% 10.78/2.16 ( (ssNder1_2r1r1 @ X0 @ X1) | ~ (ssNder1_0) | ~ (ssNder1_1r1 @ X0))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(clause11, conjecture,
% 10.78/2.16 (~( ( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) ))).
% 10.78/2.16 thf(zf_stmt_4, negated_conjecture,
% 10.78/2.16 (( ssNder1_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause11])).
% 10.78/2.16 thf(zip_derived_cl605, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.78/2.16 ( (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl642, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl619, zip_derived_cl621, zip_derived_cl622,
% 10.78/2.16 zip_derived_cl626])).
% 10.78/2.16 thf(clause20, conjecture,
% 10.78/2.16 (~( ( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) ))).
% 10.78/2.16 thf(zf_stmt_5, negated_conjecture,
% 10.78/2.16 (( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause20])).
% 10.78/2.16 thf(zip_derived_cl596, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 ( (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl647, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl642, zip_derived_cl646])).
% 10.78/2.16 thf(clause74, conjecture,
% 10.78/2.16 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 10.78/2.16 thf(zf_stmt_6, negated_conjecture,
% 10.78/2.16 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc24 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause74])).
% 10.78/2.16 thf(zip_derived_cl542, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(clause33, conjecture,
% 10.78/2.16 (~( ( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) ))).
% 10.78/2.16 thf(zf_stmt_7, negated_conjecture,
% 10.78/2.16 (( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause33])).
% 10.78/2.16 thf(zip_derived_cl583, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 ( (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(clause53, conjecture,
% 10.78/2.16 (~( ( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) ))).
% 10.78/2.16 thf(zf_stmt_8, negated_conjecture,
% 10.78/2.16 (( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause53])).
% 10.78/2.16 thf(zip_derived_cl563, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 ( (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_8])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl744, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc24)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl542, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(clause254, conjecture,
% 10.78/2.16 (~( ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 10.78/2.16 thf(zf_stmt_9, negated_conjecture,
% 10.78/2.16 (( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc20 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause254])).
% 10.78/2.16 thf(zip_derived_cl362, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 ( (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(clause72, conjecture,
% 10.78/2.16 (~( ( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) ))).
% 10.78/2.16 thf(zf_stmt_10, negated_conjecture,
% 10.78/2.16 (( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause72])).
% 10.78/2.16 thf(zip_derived_cl544, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 ( (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_10])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(clause101, conjecture,
% 10.78/2.16 (~( ( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) ))).
% 10.78/2.16 thf(zf_stmt_11, negated_conjecture,
% 10.78/2.16 (( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause101])).
% 10.78/2.16 thf(zip_derived_cl515, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 ( (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_11])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(clause130, conjecture,
% 10.78/2.16 (~( ( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.78/2.16 thf(zf_stmt_12, negated_conjecture,
% 10.78/2.16 (( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause130])).
% 10.78/2.16 thf(zip_derived_cl486, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 ( (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_12])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(clause159, conjecture,
% 10.78/2.16 (~( ( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.78/2.16 thf(zf_stmt_13, negated_conjecture,
% 10.78/2.16 (( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause159])).
% 10.78/2.16 thf(zip_derived_cl457, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 ( (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_13])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(clause187, conjecture,
% 10.78/2.16 (~( ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) ))).
% 10.78/2.16 thf(zf_stmt_14, negated_conjecture,
% 10.78/2.16 (( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause187])).
% 10.78/2.16 thf(zip_derived_cl429, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 ( (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_14])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(clause218, conjecture,
% 10.78/2.16 (~( ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) ))).
% 10.78/2.16 thf(zf_stmt_15, negated_conjecture,
% 10.78/2.16 (( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause218])).
% 10.78/2.16 thf(zip_derived_cl398, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 ( (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_15])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1113, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl362, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(clause388, conjecture,
% 10.78/2.16 (~( ( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_16, negated_conjecture,
% 10.78/2.16 (( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause388])).
% 10.78/2.16 thf(zip_derived_cl228, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_16])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(clause253, conjecture,
% 10.78/2.16 (~( ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) ))).
% 10.78/2.16 thf(zf_stmt_17, negated_conjecture,
% 10.78/2.16 (( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause253])).
% 10.78/2.16 thf(zip_derived_cl363, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 ( (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_17])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1317, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl228, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(clause315, conjecture,
% 10.78/2.16 (~( ( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_18, negated_conjecture,
% 10.78/2.16 (( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause315])).
% 10.78/2.16 thf(zip_derived_cl301, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_18])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1189, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)
% 10.78/2.16 | ~ (ssPv12_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl301, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1318, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1317, zip_derived_cl1189])).
% 10.78/2.16 thf(clause302, conjecture,
% 10.78/2.16 (~( ( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_19, negated_conjecture,
% 10.78/2.16 (( ssPv15_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause302])).
% 10.78/2.16 thf(zip_derived_cl314, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_19])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1161, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl314, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1319, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5)
% 10.78/2.16 | (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1318, zip_derived_cl1161])).
% 10.78/2.16 thf(clause291, conjecture,
% 10.78/2.16 (~( ( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_20, negated_conjecture,
% 10.78/2.16 (( ssPv20_1r1 @ U ) | ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause291])).
% 10.78/2.16 thf(zip_derived_cl325, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv20_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_20])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1120, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv20_1r1 @ X0)
% 10.78/2.16 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl325, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1320, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5)
% 10.78/2.16 | (ssPv20_1r1 @ X13))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1319, zip_derived_cl1120])).
% 10.78/2.16 thf(zip_derived_cl1321, plain,
% 10.78/2.16 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 10.78/2.16 X11 : $i, X12 : $i]:
% 10.78/2.16 ( (ssPv20_1r1 @ X12)
% 10.78/2.16 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 10.78/2.16 X6 @ X5 @ X4)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1113, zip_derived_cl1320])).
% 10.78/2.16 thf(clause427, conjecture,
% 10.78/2.16 (~( ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_21, negated_conjecture,
% 10.78/2.16 (( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause427])).
% 10.78/2.16 thf(zip_derived_cl189, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | (ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_21])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(clause288, conjecture,
% 10.78/2.16 (~( ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.78/2.16 thf(zf_stmt_22, negated_conjecture,
% 10.78/2.16 (( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause288])).
% 10.78/2.16 thf(zip_derived_cl328, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_22])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1162, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1388, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | (ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.16 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl189, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.16 zip_derived_cl1162])).
% 10.78/2.16 thf(clause360, conjecture,
% 10.78/2.16 (~( ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.16 thf(zf_stmt_23, negated_conjecture,
% 10.78/2.16 (( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause360])).
% 10.78/2.16 thf(zip_derived_cl256, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_23])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1162, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1275, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssPv10_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl256, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.16 zip_derived_cl1162])).
% 10.78/2.16 thf(zip_derived_cl1389, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.78/2.16 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.16 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.16 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1388, zip_derived_cl1275])).
% 10.78/2.16 thf(clause338, conjecture,
% 10.78/2.16 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.16 thf(zf_stmt_24, negated_conjecture,
% 10.78/2.16 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause338])).
% 10.78/2.16 thf(zip_derived_cl278, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_24])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1162, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1231, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssPv16_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl278, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.16 zip_derived_cl1162])).
% 10.78/2.16 thf(zip_derived_cl1390, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.78/2.16 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.16 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.78/2.16 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv16_5r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1389, zip_derived_cl1231])).
% 10.78/2.16 thf(clause334, conjecture,
% 10.78/2.16 (~( ( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.16 thf(zf_stmt_25, negated_conjecture,
% 10.78/2.16 (( ssPv18_3r1r1r1 @ U @ V @ W ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.16 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause334])).
% 10.78/2.16 thf(zip_derived_cl282, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_25])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1162, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1201, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl282, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.16 zip_derived_cl1162])).
% 10.78/2.16 thf(zip_derived_cl1391, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.16 X14 : $i]:
% 10.78/2.16 ( (ssPv16_5r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10)
% 10.78/2.16 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.78/2.16 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.78/2.16 | (ssPv18_3r1r1r1 @ X14 @ X13 @ X12))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1390, zip_derived_cl1201])).
% 10.78/2.16 thf(clause290, conjecture,
% 10.78/2.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.16 skc19 ) ) ))).
% 10.78/2.16 thf(zf_stmt_26, negated_conjecture,
% 10.78/2.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc19 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause290])).
% 10.78/2.16 thf(zip_derived_cl326, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_26])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl784, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl326, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl795, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl784, zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl835, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl795, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl895, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl835, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl955, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl895, zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1015, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1096, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl1015, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1392, plain,
% 10.78/2.16 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 10.78/2.16 X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv18_3r1r1r1 @ X13 @ X12 @ X11)
% 10.78/2.16 | (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.16 | (ssPv16_5r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1391, zip_derived_cl1096])).
% 10.78/2.16 thf(clause292, conjecture,
% 10.78/2.16 (~( ( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssPv20_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.78/2.16 thf(zf_stmt_27, negated_conjecture,
% 10.78/2.16 (( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssPv20_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause292])).
% 10.78/2.16 thf(zip_derived_cl324, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssPv20_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_27])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1175, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv20_1r1 @ X0))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl324, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(clause384, conjecture,
% 10.78/2.16 (~( ( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_28, negated_conjecture,
% 10.78/2.16 (( ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause384])).
% 10.78/2.16 thf(zip_derived_cl232, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_28])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1356, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl232, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(clause322, conjecture,
% 10.78/2.16 (~( ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_29, negated_conjecture,
% 10.78/2.16 (( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause322])).
% 10.78/2.16 thf(zip_derived_cl294, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_29])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1205, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl294, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1357, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1356, zip_derived_cl1205])).
% 10.78/2.16 thf(zip_derived_cl1161, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl314, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1358, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | ~ (ssPv20_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1357, zip_derived_cl1161])).
% 10.78/2.16 thf(zip_derived_cl1359, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv20_1r1 @ X13)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1175, zip_derived_cl1358])).
% 10.78/2.16 thf(clause255, conjecture,
% 10.78/2.16 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) ) ))).
% 10.78/2.16 thf(zf_stmt_30, negated_conjecture,
% 10.78/2.16 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ skc21 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause255])).
% 10.78/2.16 thf(zip_derived_cl361, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_30])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl756, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl361, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl794, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl834, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl794, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl894, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl834, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl954, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21))),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl894, zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1014, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl954, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1362, plain,
% 10.78/2.16 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 10.78/2.16 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 10.78/2.16 | ~ (ssPv20_1r1 @ X12))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl1014])).
% 10.78/2.16 thf(clause323, conjecture,
% 10.78/2.16 (~( ( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.78/2.16 thf(zf_stmt_31, negated_conjecture,
% 10.78/2.16 (( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause323])).
% 10.78/2.16 thf(zip_derived_cl293, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_31])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1229, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl293, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(clause320, conjecture,
% 10.78/2.16 (~( ( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.78/2.16 thf(zf_stmt_32, negated_conjecture,
% 10.78/2.16 (( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause320])).
% 10.78/2.16 thf(zip_derived_cl296, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_32])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1208, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl296, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(clause394, conjecture,
% 10.78/2.16 (~( ( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_33, negated_conjecture,
% 10.78/2.16 (( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.16 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause394])).
% 10.78/2.16 thf(zip_derived_cl222, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_33])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1465, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv10_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl222, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1466, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.16 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1208, zip_derived_cl1465])).
% 10.78/2.16 thf(zip_derived_cl1467, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.78/2.16 | (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1229, zip_derived_cl1466])).
% 10.78/2.16 thf(clause307, conjecture,
% 10.78/2.16 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.16 thf(zf_stmt_34, negated_conjecture,
% 10.78/2.16 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.16 ( ~( ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause307])).
% 10.78/2.16 thf(zip_derived_cl309, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.16 | ~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_34])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.16 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8 @ X9)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.16 thf(zip_derived_cl952, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.16 thf(zip_derived_cl1013, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.16 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952])).
% 10.78/2.16 thf(zip_derived_cl1095, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1174, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssPv14_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.16 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl309, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1470, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.16 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.16 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.16 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.78/2.16 | (ssPv14_7r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1467, zip_derived_cl1174])).
% 10.78/2.16 thf(zip_derived_cl1473, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 (~ (ssPv20_1r1 @ X11)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 10.78/2.16 | (ssPv14_7r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 10.78/2.16 | (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X13 @ X12)
% 10.78/2.16 | ~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 10.78/2.16 X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1362, zip_derived_cl1470])).
% 10.78/2.16 thf(zip_derived_cl1014, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc21)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl954, zip_derived_cl1013])).
% 10.78/2.16 thf(zip_derived_cl1474, plain,
% 10.78/2.16 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 10.78/2.16 X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (~ (ssPv10_11r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.78/2.16 | (ssPv14_7r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 10.78/2.16 | ~ (ssPv20_1r1 @ X12))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1473, zip_derived_cl1014])).
% 10.78/2.16 thf(zip_derived_cl1477, plain,
% 10.78/2.16 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.16 ( (ssPv16_5r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6)
% 10.78/2.16 | (ssPv18_3r1r1r1 @ X10 @ X9 @ X8)
% 10.78/2.16 | ~ (ssPv20_1r1 @ X10)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 10.78/2.16 | (ssPv14_7r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1392, zip_derived_cl1474])).
% 10.78/2.16 thf(zip_derived_cl1362, plain,
% 10.78/2.16 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 10.78/2.16 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.16 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.16 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 10.78/2.16 | ~ (ssPv20_1r1 @ X12))),
% 10.78/2.16 inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl1014])).
% 10.78/2.16 thf(zip_derived_cl1229, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl293, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.16 thf(zip_derived_cl1113, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.16 (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ skc20)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl362, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.16 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.16 thf(clause296, conjecture,
% 10.78/2.16 (~( ( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.16 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.78/2.16 thf(zf_stmt_35, negated_conjecture,
% 10.78/2.16 (( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.16 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.16 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.16 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.16 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.16 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.16 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.16 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.16 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.16 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.16 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.16 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.16 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.16 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.78/2.16 inference('cnf.neg', [status(esa)], [clause296])).
% 10.78/2.16 thf(zip_derived_cl320, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.16 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.16 | ~ (ssNder1_0)
% 10.78/2.16 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.16 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.16 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.16 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.16 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.16 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.16 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.16 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7)
% 10.78/2.16 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8)
% 10.78/2.16 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.16 X6 @ X7 @ X8 @ X9)
% 10.78/2.16 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.16 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.16 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.16 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_35])).
% 10.78/2.16 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.16 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.16 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.16 thf(zip_derived_cl622, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.16 thf(zip_derived_cl626, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622])).
% 10.78/2.16 thf(zip_derived_cl646, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.16 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.16 thf(zip_derived_cl672, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.16 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.16 thf(zip_derived_cl700, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.16 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672])).
% 10.78/2.16 thf(zip_derived_cl731, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.16 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.16 thf(zip_derived_cl789, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.16 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.16 thf(zip_derived_cl831, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.16 X7 : $i, X8 : $i]:
% 10.78/2.16 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.16 X7 @ X8)),
% 10.78/2.16 inference('demod', [status(thm)],
% 10.78/2.16 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.16 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.16 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.16 zip_derived_cl789])).
% 10.78/2.16 thf(zip_derived_cl892, plain,
% 10.78/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1181, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl320, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(clause398, conjecture,
% 10.78/2.17 (~( ( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.17 thf(zf_stmt_36, negated_conjecture,
% 10.78/2.17 (( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause398])).
% 10.78/2.17 thf(zip_derived_cl218, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_36])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1424, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv18_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl218, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1425, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (~ (ssPv18_3r1r1r1 @ X13 @ X12 @ X11)
% 10.78/2.17 | ~ (ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.17 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.17 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.17 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1181, zip_derived_cl1424])).
% 10.78/2.17 thf(zip_derived_cl1426, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 ( (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20)
% 10.78/2.17 | ~ (ssPv9_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X12 @ X11 @ X10))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1113, zip_derived_cl1425])).
% 10.78/2.17 thf(zip_derived_cl1427, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.17 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X12 @ X11 @ X10)
% 10.78/2.17 | (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ skc20))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1229, zip_derived_cl1426])).
% 10.78/2.17 thf(clause312, conjecture,
% 10.78/2.17 (~( ( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.17 thf(zf_stmt_37, negated_conjecture,
% 10.78/2.17 (( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause312])).
% 10.78/2.17 thf(zip_derived_cl304, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_37])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1177, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.17 | ~ (ssPv13_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl304, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1430, plain,
% 10.78/2.17 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i,
% 10.78/2.17 X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (~ (ssPv18_3r1r1r1 @ X12 @ X11 @ X10)
% 10.78/2.17 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @
% 10.78/2.17 X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.17 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 10.78/2.17 X5))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1427, zip_derived_cl1177])).
% 10.78/2.17 thf(zip_derived_cl1431, plain,
% 10.78/2.17 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 10.78/2.17 X11 : $i]:
% 10.78/2.17 (~ (ssPv20_1r1 @ X11)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6)
% 10.78/2.17 | (ssPv13_8r1r1r1r1r1r1r1r1 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @
% 10.78/2.17 X4)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X11 @ X10 @ X9))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1362, zip_derived_cl1430])).
% 10.78/2.17 thf(clause76, conjecture,
% 10.78/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) ) ))).
% 10.78/2.17 thf(zf_stmt_38, negated_conjecture,
% 10.78/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ skc25 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause76])).
% 10.78/2.17 thf(zip_derived_cl540, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 skc25))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_38])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl667, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 skc25))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl540, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl674, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 skc25))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl701, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ skc25)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl674, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl1435, plain,
% 10.78/2.17 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (~ (ssPv18_3r1r1r1 @ X6 @ X5 @ X4)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.17 | ~ (ssPv20_1r1 @ X6))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1431, zip_derived_cl701])).
% 10.78/2.17 thf(zip_derived_cl647, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl642, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl1438, plain,
% 10.78/2.17 (![X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (~ (ssPv20_1r1 @ X4) | ~ (ssPv18_3r1r1r1 @ X4 @ X3 @ X2))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1435, zip_derived_cl647])).
% 10.78/2.17 thf(zip_derived_cl1478, plain,
% 10.78/2.17 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5)
% 10.78/2.17 | ~ (ssPv20_1r1 @ X10)
% 10.78/2.17 | (ssPv16_5r1r1r1r1r1 @ X10 @ X9 @ X8 @ X7 @ X6))),
% 10.78/2.17 inference('clc', [status(thm)], [zip_derived_cl1477, zip_derived_cl1438])).
% 10.78/2.17 thf(clause59, conjecture,
% 10.78/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) ) ))).
% 10.78/2.17 thf(zf_stmt_39, negated_conjecture,
% 10.78/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ skc27 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause59])).
% 10.78/2.17 thf(zip_derived_cl557, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_39])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl616, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl557, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl644, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl616, zip_derived_cl621, zip_derived_cl622,
% 10.78/2.17 zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl648, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl644, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl673, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl1481, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 ( (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.17 | ~ (ssPv20_1r1 @ X5)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1478, zip_derived_cl673])).
% 10.78/2.17 thf(zip_derived_cl647, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl642, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl1484, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (~ (ssPv20_1r1 @ X4) | (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1481, zip_derived_cl647])).
% 10.78/2.17 thf(clause25, conjecture,
% 10.78/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) ) ))).
% 10.78/2.17 thf(zf_stmt_40, negated_conjecture,
% 10.78/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ skc31 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause25])).
% 10.78/2.17 thf(zip_derived_cl591, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_40])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl620, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl591, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl633, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl620, zip_derived_cl621, zip_derived_cl622,
% 10.78/2.17 zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl1487, plain, (![X3 : $i]: ~ (ssPv20_1r1 @ X3)),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1484, zip_derived_cl633])).
% 10.78/2.17 thf(zip_derived_cl1516, plain,
% 10.78/2.17 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 10.78/2.17 X11 : $i, X12 : $i]:
% 10.78/2.17 ( (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @
% 10.78/2.17 X5 @ X4)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1321, zip_derived_cl1487])).
% 10.78/2.17 thf(clause403, conjecture,
% 10.78/2.17 (~( ( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_41, negated_conjecture,
% 10.78/2.17 (( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause403])).
% 10.78/2.17 thf(zip_derived_cl213, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_41])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(clause326, conjecture,
% 10.78/2.17 (~( ( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.17 thf(zf_stmt_42, negated_conjecture,
% 10.78/2.17 (( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause326])).
% 10.78/2.17 thf(zip_derived_cl290, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_42])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1447, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl213, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235])).
% 10.78/2.17 thf(clause387, conjecture,
% 10.78/2.17 (~( ( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_43, negated_conjecture,
% 10.78/2.17 (( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause387])).
% 10.78/2.17 thf(zip_derived_cl229, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_43])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1380, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl229, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235])).
% 10.78/2.17 thf(clause327, conjecture,
% 10.78/2.17 (~( ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 skc16 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) ))).
% 10.78/2.17 thf(zf_stmt_44, negated_conjecture,
% 10.78/2.17 (( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 skc16 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause327])).
% 10.78/2.17 thf(zip_derived_cl289, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_44])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1252, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc16)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl289, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(clause383, conjecture,
% 10.78/2.17 (~( ( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_45, negated_conjecture,
% 10.78/2.17 (( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv13_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause383])).
% 10.78/2.17 thf(zip_derived_cl233, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_45])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1375, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl233, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235])).
% 10.78/2.17 thf(clause494, conjecture,
% 10.78/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) |
% 10.78/2.17 ( ~( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) |
% 10.78/2.17 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) |
% 10.78/2.17 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) ))).
% 10.78/2.17 thf(zf_stmt_46, negated_conjecture,
% 10.78/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) ) |
% 10.78/2.17 ( ~( ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) ) |
% 10.78/2.17 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) ) |
% 10.78/2.17 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause494])).
% 10.78/2.17 thf(zip_derived_cl122, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_46])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl875, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl122, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl903, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl875, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl963, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl903, zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1022, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl963, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1102, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1022, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1168, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1102, zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1240, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1168, zip_derived_cl1235])).
% 10.78/2.17 thf(zip_derived_cl1377, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.17 X9 @ X8)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 10.78/2.17 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 10.78/2.17 X0)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 10.78/2.17 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 10.78/2.17 X0)
% 10.78/2.17 | ~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 10.78/2.17 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @
% 10.78/2.17 X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1375, zip_derived_cl1240])).
% 10.78/2.17 thf(zip_derived_cl1379, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.78/2.17 skc16)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.78/2.17 skc16)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1252, zip_derived_cl1377])).
% 10.78/2.17 thf(zip_derived_cl1382, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @
% 10.78/2.17 skc16))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1380, zip_derived_cl1379])).
% 10.78/2.17 thf(zip_derived_cl1449, plain,
% 10.78/2.17 (![X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i,
% 10.78/2.17 X10 : $i, X11 : $i, X12 : $i, X13 : $i, X14 : $i]:
% 10.78/2.17 (~ (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.17 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1447, zip_derived_cl1382])).
% 10.78/2.17 thf(clause476, conjecture,
% 10.78/2.17 (~( ( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) ))).
% 10.78/2.17 thf(zf_stmt_47, negated_conjecture,
% 10.78/2.17 (( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause476])).
% 10.78/2.17 thf(zip_derived_cl140, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | (ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_47])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(clause370, conjecture,
% 10.78/2.17 (~( ( ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_48, negated_conjecture,
% 10.78/2.17 (( ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssPv19_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause370])).
% 10.78/2.17 thf(zip_derived_cl246, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssPv19_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_48])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1346, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | ~ (ssPv19_2r1r1 @ X0 @ X1))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl246, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235])).
% 10.78/2.17 thf(clause289, conjecture,
% 10.78/2.17 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) ))).
% 10.78/2.17 thf(zf_stmt_49, negated_conjecture,
% 10.78/2.17 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ skc18 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause289])).
% 10.78/2.17 thf(zip_derived_cl327, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_49])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1180, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc18)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl327, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(clause432, conjecture,
% 10.78/2.17 (~( ( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_50, negated_conjecture,
% 10.78/2.17 (( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause432])).
% 10.78/2.17 thf(zip_derived_cl184, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_50])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1610, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl184, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(clause342, conjecture,
% 10.78/2.17 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_51, negated_conjecture,
% 10.78/2.17 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause342])).
% 10.78/2.17 thf(zip_derived_cl274, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_51])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1246, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl274, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1611, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.78/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1610, zip_derived_cl1246])).
% 10.78/2.17 thf(zip_derived_cl1201, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl282, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1612, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 10.78/2.17 | (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv18_3r1r1r1 @ X14 @ X13 @ X12))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1611, zip_derived_cl1201])).
% 10.78/2.17 thf(clause332, conjecture,
% 10.78/2.17 (~( ( ssPv19_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) ))).
% 10.78/2.17 thf(zf_stmt_52, negated_conjecture,
% 10.78/2.17 (( ssPv19_2r1r1 @ U @ V ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause332])).
% 10.78/2.17 thf(zip_derived_cl284, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv19_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_52])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1192, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv19_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssPv19_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl284, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1613, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv18_3r1r1r1 @ X14 @ X13 @ X12)
% 10.78/2.17 | ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv14_7r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8)
% 10.78/2.17 | (ssPv19_2r1r1 @ X14 @ X13))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1612, zip_derived_cl1192])).
% 10.78/2.17 thf(zip_derived_cl1614, plain,
% 10.78/2.17 (![X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ( (ssPv19_2r1r1 @ X13 @ X12)
% 10.78/2.17 | (ssPv14_7r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7)
% 10.78/2.17 | (ssPv18_3r1r1r1 @ X13 @ X12 @ X11))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1180, zip_derived_cl1613])).
% 10.78/2.17 thf(zip_derived_cl673, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl1617, plain,
% 10.78/2.17 (![X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 ( (ssPv18_3r1r1r1 @ X5 @ X4 @ X3) | (ssPv19_2r1r1 @ X5 @ X4))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1614, zip_derived_cl673])).
% 10.78/2.17 thf(zip_derived_cl1321, plain,
% 10.78/2.17 (![X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i,
% 10.78/2.17 X11 : $i, X12 : $i]:
% 10.78/2.17 ( (ssPv20_1r1 @ X12)
% 10.78/2.17 | (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @
% 10.78/2.17 X6 @ X5 @ X4)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1113, zip_derived_cl1320])).
% 10.78/2.17 thf(clause144, conjecture,
% 10.78/2.17 (~( ( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) ))).
% 10.78/2.17 thf(zf_stmt_53, negated_conjecture,
% 10.78/2.17 (( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssPv18_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause144])).
% 10.78/2.17 thf(zip_derived_cl472, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_53])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl858, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X0 @ X1 @ X2))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl472, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(clause202, conjecture,
% 10.78/2.17 (~( ( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.17 ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.78/2.17 thf(zf_stmt_54, negated_conjecture,
% 10.78/2.17 (( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.17 ( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv18_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssPv12_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause202])).
% 10.78/2.17 thf(zip_derived_cl414, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_54])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl1030, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssPv18_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl414, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl1031, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.78/2.17 X1 @ X0)
% 10.78/2.17 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.78/2.17 X1 @ X0)
% 10.78/2.17 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.78/2.17 X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl858, zip_derived_cl1030])).
% 10.78/2.17 thf(zip_derived_cl1323, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.17 | (ssPv20_1r1 @ X8)
% 10.78/2.17 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.78/2.17 X1 @ X0)
% 10.78/2.17 | (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.78/2.17 X1 @ X0)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1321, zip_derived_cl1031])).
% 10.78/2.17 thf(clause156, conjecture,
% 10.78/2.17 (~( ( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.78/2.17 thf(zf_stmt_55, negated_conjecture,
% 10.78/2.17 (( ssPv14_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv14_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause156])).
% 10.78/2.17 thf(zip_derived_cl460, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_55])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl877, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssPv14_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl460, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl1325, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6)
% 10.78/2.17 | (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @
% 10.78/2.17 X1 @ X0)
% 10.78/2.17 | (ssPv20_1r1 @ X8)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.17 | (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1323, zip_derived_cl877])).
% 10.78/2.17 thf(clause152, conjecture,
% 10.78/2.17 (~( ( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) ))).
% 10.78/2.17 thf(zf_stmt_56, negated_conjecture,
% 10.78/2.17 (( ssPv16_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) | ( ~( ssNder1_0 ) ) |
% 10.78/2.17 ( ~( ssNder1_1r1 @ U ) ) | ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssPv16_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause152])).
% 10.78/2.17 thf(zip_derived_cl464, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_56])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl849, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssPv16_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl464, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl1327, plain,
% 10.78/2.17 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv14_7r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.17 | (ssPv20_1r1 @ X8)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X8 @ X7 @ X6)
% 10.78/2.17 | (ssPv16_5r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1325, zip_derived_cl849])).
% 10.78/2.17 thf(zip_derived_cl673, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 ~ (ssPv14_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ skc27)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl648, zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl1330, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 ( (ssPv16_5r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X5 @ X4 @ X3)
% 10.78/2.17 | (ssPv20_1r1 @ X5)
% 10.78/2.17 | (ssPv15_6r1r1r1r1r1r1 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1327, zip_derived_cl673])).
% 10.78/2.17 thf(zip_derived_cl647, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 ~ (ssPv15_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ skc29)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl642, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl1333, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 ( (ssPv20_1r1 @ X4)
% 10.78/2.17 | ~ (ssPv18_3r1r1r1 @ X4 @ X3 @ X2)
% 10.78/2.17 | (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1330, zip_derived_cl647])).
% 10.78/2.17 thf(zip_derived_cl1487, plain, (![X3 : $i]: ~ (ssPv20_1r1 @ X3)),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1484, zip_derived_cl633])).
% 10.78/2.17 thf(zip_derived_cl1520, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (~ (ssPv18_3r1r1r1 @ X4 @ X3 @ X2)
% 10.78/2.17 | (ssPv16_5r1r1r1r1r1 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1333, zip_derived_cl1487])).
% 10.78/2.17 thf(zip_derived_cl1622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 ( (ssPv19_2r1r1 @ X2 @ X1)
% 10.78/2.17 | (ssPv16_5r1r1r1r1r1 @ X2 @ X1 @ X0 @ X4 @ X3))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1617, zip_derived_cl1520])).
% 10.78/2.17 thf(zip_derived_cl633, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 ~ (ssPv16_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ skc31)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl620, zip_derived_cl621, zip_derived_cl622,
% 10.78/2.17 zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl1625, plain,
% 10.78/2.17 (![X2 : $i, X3 : $i]: (ssPv19_2r1r1 @ X3 @ X2)),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1622, zip_derived_cl633])).
% 10.78/2.17 thf(zip_derived_cl1646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 (ssPv19_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1346, zip_derived_cl1625])).
% 10.78/2.17 thf(zip_derived_cl1743, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | (ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15)
% 10.78/2.17 | (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl140, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235, zip_derived_cl1646])).
% 10.78/2.17 thf(clause409, conjecture,
% 10.78/2.17 (~( ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) ))).
% 10.78/2.17 thf(zf_stmt_57, negated_conjecture,
% 10.78/2.17 (( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause409])).
% 10.78/2.17 thf(zip_derived_cl207, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_57])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1453, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv6_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl207, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235])).
% 10.78/2.17 thf(zip_derived_cl1744, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 10.78/2.17 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1743, zip_derived_cl1453])).
% 10.78/2.17 thf(clause402, conjecture,
% 10.78/2.17 (~( ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ X10 ) ) ))).
% 10.78/2.17 thf(zf_stmt_58, negated_conjecture,
% 10.78/2.17 (( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) |
% 10.78/2.17 ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 ) ) |
% 10.78/2.17 ( ~( ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 X10 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause402])).
% 10.78/2.17 thf(zip_derived_cl214, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_58])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1235, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl290, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1373, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssPv9_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl214, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095,
% 10.78/2.17 zip_derived_cl1162, zip_derived_cl1235])).
% 10.78/2.17 thf(zip_derived_cl1745, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i, X15 : $i]:
% 10.78/2.17 ( (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @
% 10.78/2.17 X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)
% 10.78/2.17 | (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @
% 10.78/2.17 X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)
% 10.78/2.17 | (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X15 @ X14 @ X13 @ X12 @ X11 @
% 10.78/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1744, zip_derived_cl1373])).
% 10.78/2.17 thf(clause328, conjecture,
% 10.78/2.17 (~( ( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) |
% 10.78/2.17 ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @
% 10.78/2.17 X9 @ skc17 ) ) ))).
% 10.78/2.17 thf(zf_stmt_59, negated_conjecture,
% 10.78/2.17 (( ~( ssNder1_0 ) ) | ( ~( ssNder1_1r1 @ U ) ) |
% 10.78/2.17 ( ~( ssNder1_2r1r1 @ U @ V ) ) | ( ~( ssNder1_3r1r1r1 @ U @ V @ W ) ) |
% 10.78/2.17 ( ~( ssNder1_4r1r1r1r1 @ U @ V @ W @ X ) ) |
% 10.78/2.17 ( ~( ssNder1_5r1r1r1r1r1 @ U @ V @ W @ X @ Y ) ) |
% 10.78/2.17 ( ~( ssNder1_6r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z ) ) |
% 10.78/2.17 ( ~( ssNder1_7r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 ) ) |
% 10.78/2.17 ( ~( ssNder1_8r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 ) ) |
% 10.78/2.17 ( ~( ssNder1_9r1r1r1r1r1r1r1r1r1 @ U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 ) ) |
% 10.78/2.17 ( ~( ssNder1_10r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 ) ) |
% 10.78/2.17 ( ~( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 ) ) |
% 10.78/2.17 ( ~( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 ) ) |
% 10.78/2.17 ( ~( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ) |
% 10.78/2.17 ( ~( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 ) ) |
% 10.78/2.17 ( ~( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @
% 10.78/2.17 U @ V @ W @ X @ Y @ Z @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @
% 10.78/2.17 skc17 ) )),
% 10.78/2.17 inference('cnf.neg', [status(esa)], [clause328])).
% 10.78/2.17 thf(zip_derived_cl288, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_0)
% 10.78/2.17 | ~ (ssNder1_1r1 @ X0)
% 10.78/2.17 | ~ (ssNder1_2r1r1 @ X0 @ X1)
% 10.78/2.17 | ~ (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)
% 10.78/2.17 | ~ (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)
% 10.78/2.17 | ~ (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 10.78/2.17 | ~ (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)
% 10.78/2.17 | ~ (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)
% 10.78/2.17 | ~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_59])).
% 10.78/2.17 thf(zip_derived_cl615, plain, ( (ssNder1_0)),
% 10.78/2.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.78/2.17 thf(zip_derived_cl621, plain, (![X0 : $i]: (ssNder1_1r1 @ X0)),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl615])).
% 10.78/2.17 thf(zip_derived_cl622, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i]: (ssNder1_2r1r1 @ X0 @ X1)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl613, zip_derived_cl615, zip_derived_cl621])).
% 10.78/2.17 thf(zip_derived_cl626, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i]: (ssNder1_3r1r1r1 @ X0 @ X1 @ X2)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl605, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622])).
% 10.78/2.17 thf(zip_derived_cl646, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.78/2.17 (ssNder1_4r1r1r1r1 @ X0 @ X1 @ X2 @ X3)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl596, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626])).
% 10.78/2.17 thf(zip_derived_cl672, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.78/2.17 (ssNder1_5r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl583, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646])).
% 10.78/2.17 thf(zip_derived_cl700, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.78/2.17 (ssNder1_6r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl563, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672])).
% 10.78/2.17 thf(zip_derived_cl731, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssNder1_7r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl544, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700])).
% 10.78/2.17 thf(zip_derived_cl786, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)
% 10.78/2.17 | ~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl288, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl789, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 10.78/2.17 (ssNder1_8r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl515, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731])).
% 10.78/2.17 thf(zip_derived_cl797, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)
% 10.78/2.17 | ~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl786, zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl831, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i]:
% 10.78/2.17 (ssNder1_9r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl486, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789])).
% 10.78/2.17 thf(zip_derived_cl837, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9)
% 10.78/2.17 | ~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl797, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl892, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i]:
% 10.78/2.17 (ssNder1_10r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @
% 10.78/2.17 X7 @ X8 @ X9)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl457, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831])).
% 10.78/2.17 thf(zip_derived_cl897, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)
% 10.78/2.17 | ~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl837, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl952, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 10.78/2.17 (ssNder1_11r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl429, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892])).
% 10.78/2.17 thf(zip_derived_cl957, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)
% 10.78/2.17 | ~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl897, zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1013, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 10.78/2.17 (ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @
% 10.78/2.17 X6 @ X7 @ X8 @ X9 @ X10 @ X11)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl398, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952])).
% 10.78/2.17 thf(zip_derived_cl1016, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)
% 10.78/2.17 | ~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl957, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1095, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 10.78/2.17 (ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl363, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013])).
% 10.78/2.17 thf(zip_derived_cl1097, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 (~ (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)
% 10.78/2.17 | ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @
% 10.78/2.17 skc17))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1016, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1162, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl328, zip_derived_cl615, zip_derived_cl621,
% 10.78/2.17 zip_derived_cl622, zip_derived_cl626, zip_derived_cl646,
% 10.78/2.17 zip_derived_cl672, zip_derived_cl700, zip_derived_cl731,
% 10.78/2.17 zip_derived_cl789, zip_derived_cl831, zip_derived_cl892,
% 10.78/2.17 zip_derived_cl952, zip_derived_cl1013, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1163, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ~ (ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @
% 10.78/2.17 X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ skc17)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1097, zip_derived_cl1162])).
% 10.78/2.17 thf(zip_derived_cl1747, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 10.78/2.17 X14 : $i]:
% 10.78/2.17 ( (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @
% 10.78/2.17 X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.17 | (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @
% 10.78/2.17 X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1745, zip_derived_cl1163])).
% 10.78/2.17 thf(zip_derived_cl1096, plain,
% 10.78/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 10.78/2.17 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 ~ (ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1 @ X0 @ X1 @ X2 @ X3 @ X4 @
% 10.78/2.17 X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ skc19)),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1015, zip_derived_cl1095])).
% 10.78/2.17 thf(zip_derived_cl1749, plain,
% 10.78/2.17 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i,
% 10.78/2.17 X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 10.78/2.17 (ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2)),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1747, zip_derived_cl1096])).
% 10.78/2.17 thf(zip_derived_cl1764, plain,
% 10.78/2.17 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i,
% 10.78/2.17 X13 : $i, X14 : $i]:
% 10.78/2.17 (~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7)
% 10.78/2.17 | ~ (ssPv12_9r1r1r1r1r1r1r1r1r1 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @
% 10.78/2.17 X8 @ X7 @ X6))),
% 10.78/2.17 inference('demod', [status(thm)],
% 10.78/2.17 [zip_derived_cl1449, zip_derived_cl1749])).
% 10.78/2.17 thf(zip_derived_cl1810, plain,
% 10.78/2.17 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 10.78/2.17 ( (ssPv15_6r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3)
% 10.78/2.17 | ~ (ssPv13_8r1r1r1r1r1r1r1r1 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1))),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl1516, zip_derived_cl1764])).
% 10.78/2.17 thf(zip_derived_cl1811, plain,
% 10.78/2.17 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.78/2.17 (ssPv15_6r1r1r1r1r1r1 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1)),
% 10.78/2.17 inference('sup-', [status(thm)], [zip_derived_cl744, zip_derived_cl1810])).
% 10.78/2.17 thf(zip_derived_cl1812, plain, ($false),
% 10.78/2.17 inference('demod', [status(thm)], [zip_derived_cl647, zip_derived_cl1811])).
% 10.78/2.17
% 10.78/2.17 % SZS output end Refutation
% 10.78/2.17
% 10.78/2.17
% 10.78/2.17 % Terminating...
% 11.39/2.26 % Runner terminated.
% 11.39/2.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------